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Markov chain Monte Carlo methods in quantum field theories : a modern primer / Anosh Joseph.

9783030460440 (electronic book)
3030460444 (electronic book)
9783030460433
3030460436

Cham, Switzerland : Springer, [2020]

English

1 online resource (134 pages).

10.1007/978-3-030-46

QA298 .J67 2020

518/.282

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.

Includes bibliographical references.

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Description based on online resource; title from digital title page (viewed on May 21, 2020).

SpringerBriefs in physics.

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