00849nam a2200253 i 450099100068738970753620020507172253.0990115s1968 us ||| | eng b10743236-39ule_instLE01300722ExLDip.to Matematicaeng005.13AMS 68N15Pakin, Sandra534653APL/360 reference manual /Sandra PakinChicago :SRA (Science Research Associates),c1968160 p. ;22 cm.Programming languages.b1074323621-09-0628-06-02991000687389707536LE013 68N PAK11 (1968)12013000107394le013-E0.00-l- 00000.i1083468028-06-02APL910745UNISALENTOle01301-01-99ma -engus 0103355nam 22005655 450 991074116470332120251113195806.03-030-46044-410.1007/978-3-030-46044-0(CKB)4100000011040422(DE-He213)978-3-030-46044-0(MiAaPQ)EBC6177186(PPN)243762038(MiAaPQ)EBC6177238(EXLCZ)99410000001104042220200416d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierMarkov Chain Monte Carlo Methods in Quantum Field Theories 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,2191-54313-030-46043-6 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,2191-5431Mathematical physicsElementary particles (Physics)Quantum field theoryTheoretical, Mathematical and Computational PhysicsElementary Particles, Quantum Field TheoryMathematical physics.Elementary particles (Physics).Quantum field theory.Theoretical, Mathematical and Computational Physics.Elementary Particles, Quantum Field Theory.530.143518.282Joseph Anoshauthttp://id.loc.gov/vocabulary/relators/aut843206MiAaPQMiAaPQMiAaPQBOOK9910741164703321Markov Chain Monte Carlo Methods in Quantum Field Theories2087436UNINA