LEADER 05799nam 22007575 450 001 996466687003316 005 20200630062918.0 010 $a3-642-33105-X 024 7 $a10.1007/978-3-642-33105-3 035 $a(CKB)3400000000102774 035 $a(SSID)ssj0000788859 035 $a(PQKBManifestationID)11425572 035 $a(PQKBTitleCode)TC0000788859 035 $a(PQKBWorkID)10833973 035 $a(PQKB)10524309 035 $a(DE-He213)978-3-642-33105-3 035 $a(MiAaPQ)EBC3070912 035 $a(PPN)168323540 035 $a(EXLCZ)993400000000102774 100 $a20140221d2013 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aStatistical Approach to Quantum Field Theory$b[electronic resource] $eAn Introduction /$fby Andreas Wipf 205 $a1st ed. 2013. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2013. 215 $a1 online resource (XVIII, 390 p. 133 illus.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v864 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-33104-1 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Path Integrals in Quantum and Statistical Mechanics -- High-Dimensional Integrals -- Monte-Carlo Simulations in Quantum Mechanics -- Scalar Fields at Zero and Finite Temperature -- Classical Spin Models: An Introduction -- Mean Field Approximation -- Transfer Matrices, Correlation Inequalities and Roots of Partition Functions -- High-Temperature and Low-Temperature Expansions -- Peierls Argument and Duality Transformations -- Renormalization Group on the Lattice -- Functional Renormalization Group -- Lattice Gauge Theories -- Two-dimensional Lattice Gauge Theories and Group Integrals -- Fermions on a Lattice -- Index. 330 $aOver the past few decades the powerful methods of statistical physics and Euclidean quantum field theory have moved closer together, with common tools based on the use of path integrals. The interpretation of Euclidean field theories as particular systems of statistical physics has opened up new avenues for understanding strongly coupled quantum systems or quantum field theories at zero or finite temperatures. Accordingly, the first chapters of this book contain a self-contained introduction to path integrals in Euclidean quantum mechanics and statistical mechanics. The resulting high-dimensional integrals can be estimated with the help of Monte Carlo simulations based on Markov processes. The most commonly used algorithms are presented in detail so as to prepare the reader for the use of high-performance computers as an ?experimental? tool for this burgeoning field of theoretical physics. Several chapters are then devoted to an introduction to simple lattice field theories and a variety of spin systems with discrete and continuous spins, where the ubiquitous Ising model serves as an ideal guide for introducing the fascinating area of phase transitions. As an alternative to the lattice formulation of quantum field theories, variants of the flexible renormalization group methods are discussed in detail. Since, according to our present-day knowledge, all fundamental interactions in nature are described by gauge theories, the remaining chapters of the book deal with gauge theories without and with matter. This text is based on course-tested notes for graduate students and, as such, its style is essentially pedagogical, requiring only some basics of mathematics, statistical physics, and quantum field theory. Yet it also contains some more sophisticated concepts which may be useful to researchers in the field. Each chapter ends with a number of problems ? guiding the reader to a deeper understanding of some of the material presented in the main text ? and, in most cases, also features some listings of short, useful computer programs. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v864 606 $aPhysics 606 $aStatistical physics 606 $aDynamical systems 606 $aQuantum field theory 606 $aString theory 606 $aElementary particles (Physics) 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aQuantum Field Theories, String Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19048 606 $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aPhysics. 615 0$aStatistical physics. 615 0$aDynamical systems. 615 0$aQuantum field theory. 615 0$aString theory. 615 0$aElementary particles (Physics). 615 14$aMathematical Methods in Physics. 615 24$aComplex Systems. 615 24$aQuantum Field Theories, String Theory. 615 24$aElementary Particles, Quantum Field Theory. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aStatistical Physics and Dynamical Systems. 676 $a530.143 700 $aWipf$b Andreas$4aut$4http://id.loc.gov/vocabulary/relators/aut$0480015 906 $aBOOK 912 $a996466687003316 996 $aStatistical approach to quantum field theory$9257727 997 $aUNISA LEADER 01199oas 22004573 450 001 9910503198503321 005 20250625091005.0 011 $a2329-2571 035 $a(OCoLC)642924545 035 $a(CONSER) 2013218789 035 $a(CKB)2560000000108928 035 $a(EXLCZ)992560000000108928 100 $a20100622b18541858 ky a 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aKansas weekly herald 210 1$aLeavenworth, K.T. :$cOsborn & Adams,$d1854-1858. 300 $a"First press in [the] territory." 311 08$a2329-2563 517 1 $aKansas herald 607 $aLeavenworth (Kan.)$vNewspapers 607 $aLeavenworth County (Kan.)$vNewspapers 607 $aKansas$zLeavenworth$2fast 607 $aKansas$zLeavenworth County$2fast 608 $aNewspapers.$2fast 676 $a071 801 0$bCUI 801 1$bCUI 801 2$bOCLCQ 801 2$bDLC 801 2$bOCLCF 801 2$bOCLCA 801 2$bOCLCQ 801 2$bOCLCL 906 $aJOURNAL 912 $a9910503198503321 996 $aKansas weekly herald$91901492 997 $aUNINA