04623nam 22006852 450 991045034510332120151005020622.01-107-13180-41-280-41519-397866104151991-139-14754-40-511-16998-10-511-06401-20-511-05768-70-511-33122-30-511-53514-70-511-07247-3(CKB)1000000000030840(EBL)217936(OCoLC)171121004(SSID)ssj0000201978(PQKBManifestationID)11196360(PQKBTitleCode)TC0000201978(PQKBWorkID)10250830(PQKB)11702847(UkCbUP)CR9780511535147(MiAaPQ)EBC217936(Au-PeEL)EBL217936(CaPaEBR)ebr10073583(CaONFJC)MIL41519(EXLCZ)99100000000003084020090429d2002|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierMethods of contemporary gauge theory /Yuri Makeenko[electronic resource]Cambridge :Cambridge University Press,2002.1 online resource (xii, 417 pages) digital, PDF file(s)Cambridge monographs on mathematical physicsTitle from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-02215-0 0-521-80911-8 Includes bibliographical references (p. 405-410) and index.Path Integrals --Operator calculus --Free propagator --Euclidean formulation --Path-ordering of operators --Feynman disentangling --Calculation of the Gaussian path integral --Transition amplitudes --Propagators in external field --Second quantization --Integration over fields --Grassmann variables --Perturbation theory --Schwinger-Dyson equations --Commutator terms --Schwinger-Dyson equations (continued) --Regularization --Quantum anomalies from path integral --QED via path integral --Chiral Ward identity --Chiral anomaly --Chiral anomaly (calculation) --Scale anomaly --Instantons in quantum mechanics --Double-well potential --The instanton solution --Instanton contribution to path integral --Symmetry restoration by instantons --Topological charge and [theta]-vacua --Lattice Gauge Theories --Observables in gauge theories --Gauge invariance --Phase factors (definition) --Phase factors (properties) --Aharonov-Bohm effect --Gauge fields on a lattice --Sites, links, plaquettes and all that --Lattice formulation --The Haar measure --Wilson loops --Strong-coupling expansion --Area law and confinement --Asymptotic scaling --Lattice methods --Phase transitions --Mean-field method --Mean-field method (variational) --Lattice renormalization group --Monte Carlo method --Some Monte Carlo results --Fermions on a lattice --Chiral fermions --Fermion doubling --Kogut-Susskind fermions --Wilson fermions --Quark condensate --Finite temperatures --Feynman-Kac formula.This 2002 book introduces the quantum theory of gauge fields. Emphasis is placed on four non-perturbative methods: path integrals, lattice gauge theories, the 1/N expansion, and reduced matrix models, all of which have important contemporary applications. Written as a textbook, it assumes a knowledge of quantum mechanics and elements of perturbation theory, while many relevant concepts are pedagogically introduced at a basic level in the first half of the book. The second half comprehensively covers large-N Yang-Mills theory. The book uses an approach to gauge theories based on path-dependent phase factors known as the Wilson loops, and contains problems with detailed solutions to aid understanding. Suitable for advanced graduate courses in quantum field theory, the book will also be of interest to researchers in high energy theory and condensed matter physics as a survey of recent developments in gauge theory.Cambridge monographs on mathematical physics.Gauge fields (Physics)Mathematical physicsGauge fields (Physics)Mathematical physics.530.14/35Makeenko Yuri1951-50021UkCbUPUkCbUPBOOK9910450345103321Methods of contemporary gauge theory167442UNINA01412nam 2200397 n 450 99638686360331620200824121036.0(CKB)1000000000621164(EEBO)2248503610(UnM)99856740e(UnM)99856740(EXLCZ)99100000000062116419921029d1588 uy |engurbn||||a|bb|The lavviers logike[electronic resource] exemplifying the præcepts of logike by the practise of the common lawe, by Abraham FraunceAt London Imprinted by William How, for Thomas Newman, and T. Gubbin1588[10], 85, [2], 87-151, [1] leaves, folded tableIn part derived from: Ramus, Petrus. Dialecticae libri duo.A variant of the edition with How's name alone in the imprint.Reproduction of the original in the Columbia University, New York City Library.eebo-0027LogicEarly works to 1800Common lawEarly works to 1800LogicCommon lawFraunce Abrahamfl. 1587-1633.203754Ramus Petrus1515-1572.470691Cu-RivESCu-RivESCStRLINWaOLNBOOK996386863603316The lavviers logike2401626UNISA