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100   $a20200416d2020      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aMarkov Chain Monte Carlo Methods in Quantum Field Theories$b[electronic resource] $eA Modern Primer /$fby Anosh Joseph
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (XIV, 126 p. 36 illus.) 
225 1 $aSpringerBriefs in Physics,$x2191-5423
311   $a3-030-46043-6 
327   $aMonte 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.
330   $aThis primer is a comprehensive collection of analytical and numerical techniques that can be used to extract the non-perturbative physics of quantum field theories. The intriguing connection between Euclidean Quantum Field Theories (QFTs) and statistical mechanics can be used to apply Markov Chain Monte Carlo (MCMC) methods to investigate strongly coupled QFTs. The overwhelming amount of reliable results coming from the field of lattice quantum chromodynamics stands out as an excellent example of MCMC methods in QFTs in action. MCMC methods have revealed the non-perturbative phase structures, symmetry breaking, and bound states of particles in QFTs. The applications also resulted in new outcomes due to cross-fertilization with research areas such as AdS/CFT correspondence in string theory and condensed matter physics. The book is aimed at advanced undergraduate students and graduate students in physics and applied mathematics, and researchers in MCMC simulations and QFTs. At the end of this book the reader will be able to apply the techniques learned to produce more independent and novel research in the field.
410  0$aSpringerBriefs in Physics,$x2191-5423
606   $aPhysics
606   $aElementary particles (Physics)
606   $aQuantum field theory
606   $aString theory
606   $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021
606   $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029
606   $aQuantum Field Theories, String Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19048
615  0$aPhysics.
615  0$aElementary particles (Physics).
615  0$aQuantum field theory.
615  0$aString theory.
615 14$aNumerical and Computational Physics, Simulation.
615 24$aElementary Particles, Quantum Field Theory.
615 24$aQuantum Field Theories, String Theory.
676   $a530.143
700   $aJoseph$b Anosh$4aut$4http://id.loc.gov/vocabulary/relators/aut$0843206
801  0$bMiAaPQ
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906   $aBOOK
912   $a996418168803316
996   $aMarkov Chain Monte Carlo Methods in Quantum Field Theories$92087436
997   $aUNISA