LEADER 04804nam 2200637 a 450 001 9910455537403321 005 20211002000611.0 010 $a1-282-15923-2 010 $a9786612159237 010 $a1-4008-2509-1 010 $a1-4008-1458-8 024 7 $a10.1515/9781400825097 035 $a(CKB)111056486505724 035 $a(EBL)457739 035 $a(OCoLC)609845343 035 $a(SSID)ssj0000123090 035 $a(PQKBManifestationID)11136012 035 $a(PQKBTitleCode)TC0000123090 035 $a(PQKBWorkID)10132340 035 $a(PQKB)10252470 035 $a(MiAaPQ)EBC457739 035 $a(DE-B1597)446455 035 $a(OCoLC)979741914 035 $a(DE-B1597)9781400825097 035 $a(Au-PeEL)EBL457739 035 $a(CaPaEBR)ebr10312511 035 $a(CaONFJC)MIL215923 035 $a(EXLCZ)99111056486505724 100 $a20020211d2002 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aClassical theory of gauge fields$b[electronic resource] /$fValery Rubakov ; translated by Stephen S. Wilson 205 $aCourse Book 210 $aPrinceton, N.J. $cPrinceton University Press$dc2002 215 $a1 online resource (457 p.) 300 $aDescription based upon print version of record. 311 0 $a0-691-05927-6 320 $aIncludes bibliographical references (p. 429-439) and index. 327 $tFront matter --$tContents --$tPreface --$tPart I --$tChapter 1. Gauge Principle In Electrodynamics --$tChapter 2. Scalar And Vector Fields --$tChapter 3. Elements of the Theory of Lie Groups and Algebras --$tChapter 4. Non-Abelian Gauge Fields --$tChapter 5. Spontaneous Breaking of Global Symmetry --$tChapter 6. Higgs Mechanism --$tSupplementary Problems for Part I --$tPart II --$tChapter 7. The Simplest Topological Solitons --$tChapter 8. Elements of Homotopy Theory --$tChapter 9. Magnetic Monopoles --$tChapter 10. Non-Topological Solitons --$tChapter 11. Tunneling and Euclidean Classical Solutions in Quantum Mechanics --$tChapter 12. Decay of a False Vacuum in Scalar Field Theory --$tChapter 13. Instantons and Sphalerons in Gauge Theories --$tSupplementary Problems for Part II --$tPart III --$tChapter 14. Fermions in Background Fields --$tChapter 15. Fermions and Topological External Fields in Two-dimensional Models --$tChapter 16. Fermions in Background Fields of Solitons and Strings in Four-Dimensional Space-Time --$tChapter 17. Non-Conservation of Fermion Quantum Numbers in Four-dimensional Non-Abelian Theories --$tSupplementary Problems for Part III --$tAppendix Classical Solutions and the Functional Integral --$tBibliography --$tIndex 330 $aBased on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously. The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics. Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields. 606 $aGauge fields (Physics) 608 $aElectronic books. 615 0$aGauge fields (Physics) 676 $a530.14/35 700 $aRubakov$b V. A$0532660 701 $aWilson$b Stephen S$0154107 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910455537403321 996 $aClassical theory of gauge fields$92465937 997 $aUNINA