Overview
- A concise introduction to Monte Carlo methods and how to implement them to probe the nature of quantum field theories
- Includes several guidelines on how to avoid common pitfalls while applying Monte Carlo methods
- Numerous worked examples and accompanying computer programs help the reader to learn quickly
Part of the book series: SpringerBriefs in Physics (SpringerBriefs in Physics)
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About this book
This primer is a comprehensive collection of analytical and numerical techniques that can be used to extract the non-perturbative physics of quantum field theories. The intriguing connection between Euclidean Quantum Field Theories (QFTs) and statistical mechanics can be used to apply Markov Chain Monte Carlo (MCMC) methods to investigate strongly coupled QFTs. The overwhelming amount of reliable results coming from the field of lattice quantum chromodynamics stands out as an excellent example of MCMC methods in QFTs in action. MCMC methods have revealed the non-perturbative phase structures, symmetry breaking, and bound states of particles in QFTs. The applications also resulted in new outcomes due to cross-fertilization with research areas such as AdS/CFT correspondence in string theory and condensed matter physics.
The book is aimed at advanced undergraduate students and graduate students in physics and applied mathematics, and researchers in MCMC simulations and QFTs. At the end of this book the reader will be able to apply the techniques learned to produce more independent and novel research in the field.
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
About the author
Anosh Joseph is an Assistant Professor of Physics at the Indian Institute of Science Education and Research (IISER) Mohali, India. A graduate of Indian Institute of Technology (IIT) Madras, India, he obtained his PhD at Syracuse University, USA, in 2011. Since then, he has held post-doctoral Research Associate positions at the Los Alamos National Laboratory (LANL), USA; Deutsches Elektronen-Synchrotron (DESY), Germany; Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge, UK; and the International Centre for Theoretical Sciences (ICTS) of the Tata Institute of Fundamental Research (TIFR), India.
As theoretical and computational physicist his research explores ideas to solve problems in strongly coupled quantum field theories, including Quantum Chromodynamics (QCD), supersymmetric field theories, and quantum field theories with complex actions. He has explored various non-perturbative phenomena occurring in field theories, such as phase transitions, bound states of elementary particles, and symmetry breaking using analytical and numerical methods.
He has published numerous peer-reviewed journal articles on lattice quantum field theory, supersymmetric field theory, complex Langevin dynamics, and non-commutative field theory.
Bibliographic Information
Book Title: Markov Chain Monte Carlo Methods in Quantum Field Theories
Book Subtitle: A Modern Primer
Authors: Anosh Joseph
Series Title: SpringerBriefs in Physics
DOI: https://doi.org/10.1007/978-3-030-46044-0
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-46043-3Published: 17 April 2020
eBook ISBN: 978-3-030-46044-0Published: 16 April 2020
Series ISSN: 2191-5423
Series E-ISSN: 2191-5431
Edition Number: 1
Number of Pages: XIV, 126
Number of Illustrations: 36 b/w illustrations
Topics: Numerical and Computational Physics, Simulation, Elementary Particles, Quantum Field Theory, Quantum Field Theories, String Theory