LEADER 04623nam 22006852 450 001 9910450345103321 005 20151005020622.0 010 $a1-107-13180-4 010 $a1-280-41519-3 010 $a9786610415199 010 $a1-139-14754-4 010 $a0-511-16998-1 010 $a0-511-06401-2 010 $a0-511-05768-7 010 $a0-511-33122-3 010 $a0-511-53514-7 010 $a0-511-07247-3 035 $a(CKB)1000000000030840 035 $a(EBL)217936 035 $a(OCoLC)171121004 035 $a(SSID)ssj0000201978 035 $a(PQKBManifestationID)11196360 035 $a(PQKBTitleCode)TC0000201978 035 $a(PQKBWorkID)10250830 035 $a(PQKB)11702847 035 $a(UkCbUP)CR9780511535147 035 $a(MiAaPQ)EBC217936 035 $a(Au-PeEL)EBL217936 035 $a(CaPaEBR)ebr10073583 035 $a(CaONFJC)MIL41519 035 $a(EXLCZ)991000000000030840 100 $a20090429d2002|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMethods of contemporary gauge theory /$fYuri Makeenko$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2002. 215 $a1 online resource (xii, 417 pages) $cdigital, PDF file(s) 225 1 $aCambridge monographs on mathematical physics 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-02215-0 311 $a0-521-80911-8 320 $aIncludes bibliographical references (p. 405-410) and index. 327 $tPath Integrals --$tOperator calculus --$tFree propagator --$tEuclidean formulation --$tPath-ordering of operators --$tFeynman disentangling --$tCalculation of the Gaussian path integral --$tTransition amplitudes --$tPropagators in external field --$tSecond quantization --$tIntegration over fields --$tGrassmann variables --$tPerturbation theory --$tSchwinger-Dyson equations --$tCommutator terms --$tSchwinger-Dyson equations (continued) --$tRegularization --$tQuantum anomalies from path integral --$tQED via path integral --$tChiral Ward identity --$tChiral anomaly --$tChiral anomaly (calculation) --$tScale anomaly --$tInstantons in quantum mechanics --$tDouble-well potential --$tThe instanton solution --$tInstanton contribution to path integral --$tSymmetry restoration by instantons --$tTopological charge and [theta]-vacua --$tLattice Gauge Theories --$tObservables in gauge theories --$tGauge invariance --$tPhase factors (definition) --$tPhase factors (properties) --$tAharonov-Bohm effect --$tGauge fields on a lattice --$tSites, links, plaquettes and all that --$tLattice formulation --$tThe Haar measure --$tWilson loops --$tStrong-coupling expansion --$tArea law and confinement --$tAsymptotic scaling --$tLattice methods --$tPhase transitions --$tMean-field method --$tMean-field method (variational) --$tLattice renormalization group --$tMonte Carlo method --$tSome Monte Carlo results --$tFermions on a lattice --$tChiral fermions --$tFermion doubling --$tKogut-Susskind fermions --$tWilson fermions --$tQuark condensate --$tFinite temperatures --$tFeynman-Kac formula. 330 $aThis 2002 book introduces the quantum theory of gauge fields. Emphasis is placed on four non-perturbative methods: path integrals, lattice gauge theories, the 1/N expansion, and reduced matrix models, all of which have important contemporary applications. Written as a textbook, it assumes a knowledge of quantum mechanics and elements of perturbation theory, while many relevant concepts are pedagogically introduced at a basic level in the first half of the book. The second half comprehensively covers large-N Yang-Mills theory. The book uses an approach to gauge theories based on path-dependent phase factors known as the Wilson loops, and contains problems with detailed solutions to aid understanding. Suitable for advanced graduate courses in quantum field theory, the book will also be of interest to researchers in high energy theory and condensed matter physics as a survey of recent developments in gauge theory. 410 0$aCambridge monographs on mathematical physics. 606 $aGauge fields (Physics) 606 $aMathematical physics 615 0$aGauge fields (Physics) 615 0$aMathematical physics. 676 $a530.14/35 700 $aMakeenko$b Yuri$f1951-$050021 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910450345103321 996 $aMethods of contemporary gauge theory$9167442 997 $aUNINA