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Markov chain Monte Carlo methods in quantum field theories: a modern primer

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 M...

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Autor principal: Joseph, Anosh
Lenguaje:eng
Publicado: Springer 2020
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-46044-0
http://cds.cern.ch/record/2717233
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author Joseph, Anosh
author_facet Joseph, Anosh
author_sort Joseph, Anosh
collection CERN
description 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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spelling cern-27172332021-04-21T18:07:59Zdoi:10.1007/978-3-030-46044-0http://cds.cern.ch/record/2717233engJoseph, AnoshMarkov chain Monte Carlo methods in quantum field theories: a modern primerGeneral Theoretical PhysicsThis 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.Springeroai:cds.cern.ch:27172332020
spellingShingle General Theoretical Physics
Joseph, Anosh
Markov chain Monte Carlo methods in quantum field theories: a modern primer
title Markov chain Monte Carlo methods in quantum field theories: a modern primer
title_full Markov chain Monte Carlo methods in quantum field theories: a modern primer
title_fullStr Markov chain Monte Carlo methods in quantum field theories: a modern primer
title_full_unstemmed Markov chain Monte Carlo methods in quantum field theories: a modern primer
title_short Markov chain Monte Carlo methods in quantum field theories: a modern primer
title_sort markov chain monte carlo methods in quantum field theories: a modern primer
topic General Theoretical Physics
url https://dx.doi.org/10.1007/978-3-030-46044-0
http://cds.cern.ch/record/2717233
work_keys_str_mv AT josephanosh markovchainmontecarlomethodsinquantumfieldtheoriesamodernprimer