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181 Shore, Graham The c and a-Theorems and the Local Renormalisation Group I10302 2017 eBook  
182 Stauffer, Dietrich From Newton to Mandelbrot I10301 2017 eBook  
183 Mielke, Eckehard W Geometrodynamics of Gauge Fields I10297 2017 eBook  
184 de Gosson, Maurice A Born-Jordan Quantization I10290 2016 eBook  
185 Bru, J.-B Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory I10275 2017 eBook  
186 Strocchi, Franco Gauge Invariance and Weyl-polymer Quantization I10266 2016 eBook  
187 Hall, Michael J. W Ensembles on Configuration Space I10264 2016 eBook  
188 Skokos, Charalampos (Haris) Chaos Detection and Predictability I10263 2016 eBook  
189 ??irca, Simon Probability for Physicists I10254 2016 eBook  
190 Kazama, Shingo Search for Charginos Nearly Mass-Degenerate with the Lightest Neutralino I10251 2016 eBook  
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181.    
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TitleThe c and a-Theorems and the Local Renormalisation Group
Author(s)Shore, Graham
PublicationCham, Springer International Publishing, 2017.
DescriptionVII, 102 p. 5 illus., 3 illus. in color : online resource
Abstract NoteThe Zamolodchikov c-theorem has led to important new insights in the understanding of the Renormalisation Group (RG) and the geometry of the space of QFTs. The present primer introduces and reviews the parallel developments of the search for a higher-dimensional generalisation of the c-theorem and of the Local RG (LRG). The idea of renormalisation with position-dependent couplings, running under local Weyl scaling, is traced from its early realisations to the elegant modern formalism of the LRG. The key r??le of the associated Weyl consistency conditions in establishing RG flow equations for the coefficients of the trace anomaly in curved spacetime, and their relation to the c-theorem and four-dimensional a-theorem, is explained in detail. A number of different derivations of the c-theorem in two dimensions are presented and subsequently generalised to four dimensions. The obstructions to establishing monotonic C-functions related to the trace anomaly coefficients in four dimensions are explained. The possibility of deriving an a-theorem for the coefficient of the Euler-Gauss-Bonnet density is explored, initially by formulating the QFT on maximally symmetric spaces. Then the formulation of the weak a-theorem using a dispersion relation for four-point functions is presented. Finally, the application of the LRG to the issue of limit cycles in theories with a global symmetry is described, shedding new light on the geometry of the space of couplings in QFT
ISBN,Price9783319540009
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. MATHEMATICAL PHYSICS 5. PHYSICS 6. Quantum Field Theories, String Theory 7. QUANTUM FIELD THEORY 8. STRING THEORY
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182.     
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TitleFrom Newton to Mandelbrot : A Primer in Theoretical Physics
Author(s)Stauffer, Dietrich;Stanley, H. Eugene;Lesne, Annick
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2017.
DescriptionXIV, 270 p. 84 illus : online resource
Abstract NoteThis textbook takes the reader on a tour of the most important landmarks of theoretical physics: classical, quantum, and statistical mechanics, relativity, electrodynamics, as well as the most modern and exciting of all: elementary particles and the physics of fractals. The second edition has been supplemented with a new chapter devoted to concise though complete presentation of dynamical systems, bifurcations and chaos theory. The treatment is confined to the essentials of each area, presenting all the central concepts and equations at an accessible level. Chapters 1 to 4 contain the standard material of courses in theoretical physics and are supposed to accompany lectures at the university; thus they are rather condensed. They are supposed to fill one year of teaching. Chapters 5 and 6, in contrast, are written less condensed since this material may not be part of standard lectures and thus could be studied without the help of a university teacher. An appendix on elementary particles lies somewhere in between: It could be a summary of a much more detailed course, or studied without such a course. Illustrations and numerous problems round off this unusual textbook. It will ideally accompany the students all along their course in theoretical physics and prove indispensable in preparing and revising the exams. It is also suited as a reference for teachers or scientists from other disciplines who are interested in the topic
ISBN,Price9783662536858
Keyword(s)1. CLASSICAL ELECTRODYNAMICS 2. CLASSICAL MECHANICS 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. ELECTRODYNAMICS 8. Elementary particles (Physics) 9. Elementary Particles, Quantum Field Theory 10. MATHEMATICAL PHYSICS 11. MECHANICS 12. OPTICS 13. QUANTUM FIELD THEORY 14. SOLID STATE PHYSICS 15. STATISTICAL PHYSICS 16. Theoretical, Mathematical and Computational Physics
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183.     
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TitleGeometrodynamics of Gauge Fields : On the Geometry of Yang-Mills and Gravitational Gauge Theories
Author(s)Mielke, Eckehard W
PublicationCham, Springer International Publishing, 2017.
DescriptionXVII, 373 p. 18 illus., 8 illus. in color : online resource
Abstract NoteThis monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the (broken) Poincar?? gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed. Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein???s standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail
ISBN,Price9783319297347
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. EBOOK 3. EBOOK - SPRINGER 4. Elementary particles (Physics) 5. Elementary Particles, Quantum Field Theory 6. GRAVITATION 7. MATHEMATICAL PHYSICS 8. QUANTUM FIELD THEORY
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184.     
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TitleBorn-Jordan Quantization : Theory and Applications
Author(s)de Gosson, Maurice A
PublicationCham, Springer International Publishing, 2016.
DescriptionXIII, 226 p : online resource
Abstract NoteThis book presents a comprehensive mathematical study of the operators behind the Born???Jordan quantization scheme. The Schr??dinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born???Jordan scheme is used. Thus, Born???Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists. In this book we develop Born???Jordan quantization from an operator-theoretical point of view, and analyze in depth the conceptual differences between the two schemes. We discuss various physically motivated approaches, in particular the Feynman-integral point of view. One important and intriguing feature of Born-Jordan quantization is that it is not one-to-one: there are infinitely many classical observables whose quantization is zero
ISBN,Price9783319279022
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. History and Philosophical Foundations of Physics 4. Mathematical Applications in the Physical Sciences 5. MATHEMATICAL PHYSICS 6. OPERATOR THEORY 7. PHYSICS 8. QUANTUM PHYSICS
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185.     
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TitleLieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
Author(s)Bru, J.-B;de Siqueira Pedra, W
PublicationCham, Springer International Publishing, 2017.
DescriptionVII, 109 p : online resource
Abstract NoteLieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic quantum particles with short-range, possibly time-dependent interactions. In particular, the existence of fundamental solutions is shown for those (non-autonomous) C*-dynamical systems for which the usual conditions found in standard theories of (parabolic or hyperbolic) non-autonomous evolution equations are not given. In mathematical physics, bounds on multi-commutators of an order higher than two can be used to study linear and non-linear responses of interacting particles to external perturbations. These bounds are derived for lattice fermions, in view of applications to microscopic quantum theory of electrical conduction discussed in this book. All results also apply to quantum spin systems, with obvious modifications. In order to make the results accessible to a wide audience, in particular to students in mathematics with little Physics background, basics of Quantum Mechanics are presented, keeping in mind its algebraic formulation. The C*-algebraic setting for lattice fermions, as well as the celebrated Lieb-Robinson bounds for commutators, are explained in detail, for completeness
ISBN,Price9783319457840
Keyword(s)1. CONDENSED MATTER 2. CONDENSED MATTER PHYSICS 3. EBOOK 4. EBOOK - SPRINGER 5. FUNCTIONAL ANALYSIS 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS 9. QUANTUM COMPUTERS 10. Quantum Information Technology, Spintronics 11. SPINTRONICS
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186.     
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TitleGauge Invariance and Weyl-polymer Quantization
Author(s)Strocchi, Franco
PublicationCham, Springer International Publishing, 2016.
DescriptionX, 97 p : online resource
Abstract NoteThe book gives an introduction to Weyl non-regular quantization suitable for the description of physically interesting quantum systems, where the traditional Dirac-Heisenberg quantization is not applicable.?? The latter implicitly assumes that the canonical variables describe observables, entailing necessarily the regularity of their exponentials (Weyl operators). However, in physically interesting cases -- typically in the presence of a gauge symmetry -- non-observable canonical variables are introduced for the description of the states, namely of the relevant representations of the observable algebra. In general, a gauge invariant ground state defines a non-regular representation of the gauge dependent Weyl operators, providing a mathematically consistent treatment of familiar quantum systems -- such as the electron in a periodic potential (Bloch electron), the Quantum Hall electron, or the quantum particle on a circle -- where the gauge transformations are, respectively, the lattice translations, the magnetic translations and the rotations of 2??. Relevant examples are also provided by quantum gauge field theory models, in particular by the temporal gauge of Quantum Electrodynamics, avoiding the conflict between the Gauss law constraint and the Dirac-Heisenberg canonical quantization. The same applies to Quantum Chromodynamics, where the non-regular quantization of the temporal gauge provides a simple solution of the U(1) problem and a simple link between the vacuum structure and the topology of the gauge group. Last but not least, Weyl non-regular quantization is briefly discussed from the perspective of the so-called polymer representations proposed for Loop Quantum Gravity in connection with diffeomorphism invariant vacuum states
ISBN,Price9783319176956
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. MATHEMATICAL PHYSICS 6. Quantum Field Theories, String Theory 7. QUANTUM FIELD THEORY 8. QUANTUM PHYSICS 9. STRING THEORY
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I10266     On Shelf    

187.     
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TitleEnsembles on Configuration Space : Classical, Quantum, and Beyond
Author(s)Hall, Michael J. W;Reginatto, Marcel
PublicationCham, Springer International Publishing, 2016.
DescriptionXIV, 280 p. 3 illus : online resource
Abstract NoteThis book describes a promising approach to problems in the foundations of quantum mechanics, including the measurement problem. The dynamics of ensembles on configuration space is shown here to be a valuable tool for unifying the formalisms of classical and quantum mechanics, for deriving and extending the latter in various ways, and for addressing the quantum measurement problem. A description of physical systems by means of ensembles on configuration space can be introduced at a very fundamental level: the basic building blocks are a configuration space, probabilities, and Hamiltonian equations of motion for the probabilities. The formalism can describe both classical and quantum systems, and their thermodynamics, with the main difference being the choice of ensemble Hamiltonian. Furthermore, there is a natural way of introducing ensemble Hamiltonians that describe the evolution of hybrid systems; i.e., interacting systems that have distinct classical and quantum sectors, allowing for consistent descriptions of quantum systems interacting with classical measurement devices and quantum matter fields interacting gravitationally with a classical spacetime
ISBN,Price9783319341668
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL PHYSICS 6. QUANTUM PHYSICS 7. STATISTICAL PHYSICS 8. Statistical Physics and Dynamical Systems
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188.     
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TitleChaos Detection and Predictability
Author(s)Skokos, Charalampos (Haris);Gottwald, Georg A;Laskar, Jacques
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2016.
DescriptionXI, 269 p. 122 illus., 44 illus. in color : online resource
Abstract NoteDistinguishing chaoticity from regularity in deterministic dynamical systems and specifying the subspace of the phase space in which instabilities are expected to occur is of utmost importance in as disparate areas as astronomy, particle physics and climate dynamics. To address these issues there exists a plethora of methods for chaos detection and predictability. The most commonly employed technique for investigating chaotic dynamics, i.e. the computation of Lyapunov exponents, however, may suffer a number of problems and drawbacks, for example when applied to noisy experimental data. In the last two decades, several novel methods have been developed for the fast and reliable determination of the regular or chaotic nature of orbits, aimed at overcoming the shortcomings of more traditional techniques. This set of lecture notes and tutorial reviews serves as an introduction to and overview of modern chaos detection and predictability techniques for graduate students and non-specialists. The book covers theoretical and computational aspects of traditional methods to calculate Lyapunov exponents, as well as of modern techniques like the Fast (FLI), the Orthogonal (OFLI) and the Relative (RLI) Lyapunov Indicators, the Mean Exponential Growth factor of Nearby Orbits (MEGNO), the Smaller (SALI) and the Generalized (GALI) Alignment Index and the ???0-1??? test for chaos
ISBN,Price9783662484104
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. Earth System Sciences 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Applications in the Physical Sciences 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. Physical geography 9. PHYSICS 10. SPACE SCIENCES 11. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) 12. STATISTICAL PHYSICS
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I10263     On Shelf    

189.     
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TitleProbability for Physicists
Author(s)??irca, Simon
PublicationCham, Springer International Publishing, 2016.
DescriptionXIV, 415 p. 142 illus., 29 illus. in color : online resource
Abstract NoteThis book is designed as a practical and intuitive introduction to probability, statistics and random quantities for physicists. The book aims at getting to the main points by a clear, hands-on exposition supported by well-illustrated and worked-out examples. A strong focus on applications in physics and other natural sciences is maintained throughout. In addition to basic concepts of random variables, distributions, expected values and statistics, the book discusses the notions of entropy, Markov processes, and fundamentals of random number generation and Monte-Carlo methods
ISBN,Price9783319316116
Keyword(s)1. Chemistry, Physical and theoretical 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. Mathematical Applications in the Physical Sciences 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS 9. PHYSICS 10. PROBABILITIES 11. Probability Theory and Stochastic Processes 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems 14. Theoretical and Computational Chemistry
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190.    
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TitleSearch for Charginos Nearly Mass-Degenerate with the Lightest Neutralino : Based on a Disappearing-Track Signature in pp Collisions at ???s = 8 TeV
Author(s)Kazama, Shingo
PublicationTokyo, Springer Japan, 2016.
DescriptionXIII, 148 p : online resource
Abstract Note??In this book, the anomaly mediated supersymmetry breaking (AMSB) model is explored by searching for charged winos with their subsequent decays collected with the ATLAS detector at the Large Hadron Collider (LHC). The author develops a new method, called ???re-tracking,??? to detect charged winos that decay before reaching the Semiconductor Tracker (SCT) detector. Because the nominal tracking algorithm at the ATLAS experiment requires at least seven successive hits in the inner tracking system, the sensitivity to charged winos having a fraction of a nanosecond in the past analysis was therefore limited. However, re-tracking requires a minimum of three pixel hits and provides a fully efficient tracking capability for charged winos traversing the pixel detector, resulting in around about 100 times greater efficiency for charged winos with a lifetime ~0.2 ns longer than that in past searches. Signal topology is characterized by a jet with large transverse momentum (pT), large missing transverse energy, and a high-pT disappearing track. There are three types of background tracks: interacting hadron trac ks, charged leptons, and tracks with mismeasured pT. A background estimation based on the Monte Carlo (MC) simulation suffers from large uncertainties due to poor statistics and has difficulty simulating the properties of background tracks. Therefore, a data-driven approach has been developed by the author of the book to estimate the background track-pT spectrum. No significant excess above the background expectation is observed for candidate tracks with large transverse momentum, and constraints on the AMSB model are obtained. The author shows that in the AMSB model, a charged wino mass below 270 GeV is excluded at 95 % confidence level, which also directly constrains the mass of wino dark matter
ISBN,Price9784431556572
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. MATHEMATICAL PHYSICS 6. Measurement Science and Instrumentation 7. Measurement?????? 8. Particle acceleration 9. Particle Acceleration and Detection, Beam Physics 10. PHYSICAL MEASUREMENTS 11. QUANTUM FIELD THEORY 12. Theoretical, Mathematical and Computational Physics
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I10251     On Shelf    

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