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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Rychkov, Slava |
Lectures on the Random Field Ising Model |
I12821 |
2023 |
eBook |
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| 2 |
Rychkov, Slava |
EPFL Lectures on Conformal Field Theory in D ??? 3 Dimensions |
I09765 |
2017 |
eBook |
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| Title | Lectures on the Random Field Ising Model : From Parisi-Sourlas Supersymmetry to Dimensional Reduction |
| Author(s) | Rychkov, Slava |
| Publication | Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2023. |
| Description | IX, 64 p. 23 illus : online resource |
| Abstract Note | This book is about the Random Field Ising Model (RFIM) ??? a paradigmatic spin model featuring a frozen disordering field. The focus is on the second-order phase transition between the paramagnetic and ferromagnetic phases, and the associated critical exponents. The book starts by summarizing the current knowledge about the RFIM from experiments, numerical simulations and rigorous mathematical results. It then reviews the classic theoretical works from the 1970???s which suggested a property of dimensional reduction ??? that the RFIM critical exponents should be the same as for the ordinary, non-disordered, Ising model of lower dimensionality, and related this an emergent Parisi-Sourlas supersymmetry. As is now known, these remarkable properties only hold when the spatial dimensionality of the model is larger than a critical dimension. The book presents a method to estimate the critical dimension, using standard tools such as the replica trick and perturbative renormalization group, whose result is in agreement with the numerical simulations. Some more elementary steps in the derivations are left as exercises for the readers. This book is of interest to researchers, PhD students and advanced master students specializing in statistical field theory |
| ISBN,Price | 9783031420009 |
| Keyword(s) | 1. EBOOK - SPRINGER
2. MATHEMATICAL PHYSICS
3. PARTICLE PHYSICS
4. PARTICLES (NUCLEAR PHYSICS)
5. STATISTICAL PHYSICS
6. Theoretical, Mathematical and Computational Physics
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| Item Type | eBook |
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12821 |
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On Shelf |
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2.
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| Title | EPFL Lectures on Conformal Field Theory in D ??? 3 Dimensions |
| Author(s) | Rychkov, Slava |
| Publication | Cham, Springer International Publishing, 2017. |
| Description | XII, 72 p. 14 illus., 12 illus. in color : online resource |
| Abstract Note | This primer develops Conformal Field Theory (CFT) from scratch, whereby CFT is viewed as any conformally-invariant theory that describes a fixed point of a renormalization group flow in quantum field theory. The book is divided into four lectures: Lecture 1 addresses the physical foundations of conformal invariance, while Lecture 2 examines the constraints imposed by conformal symmetry on the correlation functions of local operators, presented using the so-called projective null cone ??? a procedure also known as the embedding formalism. In turn, Lecture 3 focuses on the radial quantization and the operator product expansion, while Lecture 4 offers a very brief introduction to the conformal bootstrap. Derived from course-based notes, these lectures are intended as a first point of entry to this topic for Master and PhD students alike |
| ISBN,Price | 9783319436265 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. Elementary particles (Physics)
4. Elementary Particles, Quantum Field Theory
5. Mathematical Applications in the Physical Sciences
6. MATHEMATICAL PHYSICS
7. Quantum Field Theories, String Theory
8. QUANTUM FIELD THEORY
9. STRING THEORY
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| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09765 |
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On Shelf |
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