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Markov chain Monte Carlo methods in ...

Joseph, Anosh.

Markov chain Monte Carlo methods in quantum field theoriesa modern primer /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Markov chain Monte Carlo methods in quantum field theoriesby Anosh Joseph.
其他題名:	a modern primer /
作者:	Joseph, Anosh.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	xiv, 126 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Monte Carlo method.
電子資源:	https://doi.org/10.1007/978-3-030-46044-0
ISBN:	9783030460440$q(electronic bk.)

Markov chain Monte Carlo methods in quantum field theoriesa modern primer /
Joseph, Anosh.

Markov chain Monte Carlo methods in quantum field theoriesa modern primer /[electronic resource] :by Anosh Joseph. - Cham :Springer International Publishing :2020. - xiv, 126 p. :ill., digital ;24 cm. - SpringerBriefs in physics,2191-5423. - SpringerBriefs in physics..

Monte Carlo Method for Integration -- Monte Carlo with Importance Sampling -- Markov Chains -- Markov Chain Monte Carlo -- MCMC and Feynman Path Integrals -- Reliability of Simulations -- Hybrid (Hamiltonian) Monte Carlo -- MCMC and Quantum Field Theories on a Lattice -- Machine Learning and Quantum Field Theories -- C++ Programs.

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.

ISBN: 9783030460440$q(electronic bk.)

Standard No.: 10.1007/978-3-030-46044-0doiSubjects--Topical Terms:

186286
Monte Carlo method.

LC Class. No.: QA298 / .J67 2020

Dewey Class. No.: 518.282

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520 $a 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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