03685nam 22005895 450 99641816880331620200703155946.03-030-46044-410.1007/978-3-030-46044-0(CKB)4100000011040422(DE-He213)978-3-030-46044-0(MiAaPQ)EBC6177186(PPN)243762038(EXLCZ)99410000001104042220200416d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierMarkov Chain Monte Carlo Methods in Quantum Field Theories[electronic resource] A Modern Primer /by Anosh Joseph1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (XIV, 126 p. 36 illus.) SpringerBriefs in Physics,2191-54233-030-46043-6 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.SpringerBriefs in Physics,2191-5423PhysicsElementary particles (Physics)Quantum field theoryString theoryNumerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Elementary Particles, Quantum Field Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P23029Quantum Field Theories, String Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19048Physics.Elementary particles (Physics).Quantum field theory.String theory.Numerical and Computational Physics, Simulation.Elementary Particles, Quantum Field Theory.Quantum Field Theories, String Theory.530.143Joseph Anoshauthttp://id.loc.gov/vocabulary/relators/aut843206MiAaPQMiAaPQMiAaPQBOOK996418168803316Markov Chain Monte Carlo Methods in Quantum Field Theories2087436UNISA