Markov Chain Monte Carlo Methods in Quantum Field Theories
A Modern Primer
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Beschreibung
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.
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
Autor*in
Anosh Joseph
Themen in »Markov Chain Monte Carlo Methods in Quantum Field Theories«
Monte Carlo Simulation Lattice Field Theory Non-perturbative Field Theory Strongly Coupled Field Theory Hamiltonian Monte Carlo Hybrid Monte Carlo Euclidean Quantum Field Theory Markov Chain Monte Carlo Metropolis Algorithm