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 #  AuthorTitleAccn#YearItem Type Claims
1 Smirnov, Vladimir A Applied Asymptotic Expansions in Momenta and Masses I11285 2002 eBook  
2 Smirnov, Vladimir A Feynman Integral Calculus I08286 2006 eBook  
3 Smirnov, Vladimir A Evaluating Feynman Integrals I07398 2005 eBook  
4 Smirnov, Vladimir A Analytic Tools for Feynman Integrals I06128 2012 eBook  
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1.    
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TitleApplied Asymptotic Expansions in Momenta and Masses
Author(s)Smirnov, Vladimir A
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2002.
DescriptionIX, 265 p : online resource
Abstract NoteThe book presents asymptotic expansions of Feynman integrals in various limits of momenta and masses, and their applications to problems of physical interest. The problem of expansion is systematically solved by formulating universal prescriptions that express terms of the expansion using the original Feynman integral with its integrand expanded into a Taylor series in appropriate momenta and masses. Knowledge of the structure of the asymptotic expansion at the diagrammatic level is key in understanding how to perform expansions at the operator level. Most typical examples of these expansions are presented: the operator product expansion, the large-mass expansion, Heavy Quark Effective Theory, and Non-Relativistic QCD
ISBN,Price9783540445746
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. Mathematical Methods in Physics 6. Numerical and Computational Physics, Simulation 7. PHYSICS 8. QUANTUM COMPUTERS 9. QUANTUM FIELD THEORY 10. Quantum Information Technology, Spintronics 11. QUANTUM PHYSICS 12. SPINTRONICS
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I11285     On Shelf    

2.     
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TitleFeynman Integral Calculus
Author(s)Smirnov, Vladimir A
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2006.
DescriptionX, 287 p. 52 illus : online resource
Abstract NoteThe problem of evaluating Feynman integrals over loop momenta has existed from the early days of perturbative quantum field theory. The goal of the book is to summarize those methods for evaluating Feynman integrals that have been developed over a span of more than fifty years. `Feynman Integral Calculus' characterizes the most powerful methods in a systematic way. It concentrates on the methods that have been employed recently for most sophisticated calculations and illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples. It also shows how to choose adequate methods and combine them in a non-trivial way. This is a textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author. Problems and solutions have been included, Appendix G has been added, more details have been presented, recent publications on evaluating Feynman integrals have been taken into account and the bibliography has been updated
ISBN,Price9783540306115
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. MATHEMATICAL ANALYSIS 8. QUANTUM FIELD THEORY 9. QUANTUM PHYSICS
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I08286     On Shelf    

3.     
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TitleEvaluating Feynman Integrals
Author(s)Smirnov, Vladimir A
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2005.
DescriptionX, 250 p : online resource
Abstract NoteThe problem of evaluating Feynman integrals over loop momenta has existed from the early days of perturbative quantum field theory. Although a great variety of methods for evaluating Feynman integrals has been developed over a span of more than fifty years, this book is a first attempt to summarize them. 'Evaluating Feynman Integrals' characterizes the most powerful methods, in particular those used for recent, quite sophisticated calculations, and then illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples
ISBN,Price9783540447030
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. MATHEMATICAL PHYSICS 5. NUCLEAR PHYSICS 6. Particle and Nuclear Physics 7. PHYSICS 8. QUANTUM PHYSICS 9. Theoretical, Mathematical and Computational Physics
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I07398     On Shelf    

4.    
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TitleAnalytic Tools for Feynman Integrals
Author(s)Smirnov, Vladimir A
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2012.
DescriptionX, 298 p : online resource
Abstract NoteThe goal of this book is to describe the most powerful methods for evaluating multiloop Feynman integrals that are currently used in practice.?? This book supersedes the author???s previous Springer book ???Evaluating Feynman Integrals??? and its textbook version ???Feynman Integral Calculus.??? Since the publication of these two books, powerful new methods have arisen and conventional methods have been improved on in essential ways. A further qualitative change is the fact that most of the methods and the corresponding algorithms have now been implemented in computer codes which are often public. In comparison to the two previous books, three new chapters have been added:?? One is on sector decomposition, while the second describes a new method by Lee. The third new chapter concerns the asymptotic expansions of Feynman integrals in momenta and masses, which were described in detail in another Springer book, ???Applied Asymptotic Expansions in Momenta and Masses,??? by the author. This chapter describes, on the basis of papers that appeared after the publication of said book, how to algorithmically discover the regions relevant to a given limit within the strategy of expansion by regions. In addition, the chapters on the method of Mellin-Barnes representation and on the method of integration by parts have been substantially rewritten, with an emphasis on the corresponding algorithms and computer codes
ISBN,Price9783642348860
Keyword(s)1. ALGEBRA 2. EBOOK 3. EBOOK - SPRINGER 4. Field theory (Physics) 5. Field Theory and Polynomials 6. NUCLEAR PHYSICS 7. Numerical and Computational Physics, Simulation 8. Particle and Nuclear Physics 9. PHYSICS 10. QUANTUM PHYSICS
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I06128     On Shelf    

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