LEADER 04162nam 22007335 450 001 996466792003316 005 20200702130714.0 010 $a3-540-31536-5 024 7 $a10.1007/b95211 035 $a(CKB)1000000000231099 035 $a(DE-He213)978-3-540-31536-0 035 $a(SSID)ssj0000320293 035 $a(PQKBManifestationID)11937776 035 $a(PQKBTitleCode)TC0000320293 035 $a(PQKBWorkID)10348279 035 $a(PQKB)10798395 035 $a(MiAaPQ)EBC4976733 035 $a(Au-PeEL)EBL4976733 035 $a(CaONFJC)MIL140140 035 $a(OCoLC)1024271463 035 $a(PPN)123084024 035 $a(EXLCZ)991000000000231099 100 $a20100805d2005 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSymmetry Breaking$b[electronic resource] /$fby Franco Strocchi 205 $a1st ed. 2005. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2005. 215 $a1 online resource (VIII, 203 p. Also available online.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v643 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-21318-X 330 $aThe intriguing mechanism of spontaneous symmetry breaking is a powerful innovative idea at the basis of most of the recent developments in theoretical physics, from statistical mechanics to many-body theory to elementary particles theory; for infinitely extended systems a symmetric Hamiltonian can account for non symmetric behaviours, giving rise to non symmetric realizations of a physical system. In the first part of this book, devoted to classical field theory, such a mechanism is explained in terms of the occurrence of disjoint sectors and their stability properties and of an improved version of the Noether theorem. For infinitely extended quantum systems, discussed in the second part, the mechanism is related to the occurrence of disjoint pure phases and characterized by a symmetry breaking order parameter, for which non perturbative criteria are discussed, following Wightman, and contrasted with the standard Goldstone perturbative strategy. The Goldstone theorem is discussed with a critical look at the hypotheses that emphasizes the crucial role of the dynamical delocalization induced by the interaction range. The Higgs mechanism in local gauges is explained in terms of the Gauss law constraint on the physical states. The mathematical details are kept to the minimum required to make the book accessible to students with basic knowledge of Hilbert space structures. Much of the material has not appeared in other textbooks. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v643 606 $aPhysics 606 $aQuantum physics 606 $aMathematical physics 606 $aElementary particles (Physics) 606 $aQuantum field theory 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029 615 0$aPhysics. 615 0$aQuantum physics. 615 0$aMathematical physics. 615 0$aElementary particles (Physics). 615 0$aQuantum field theory. 615 14$aMathematical Methods in Physics. 615 24$aQuantum Physics. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aElementary Particles, Quantum Field Theory. 676 $a530.15 700 $aStrocchi$b Franco$4aut$4http://id.loc.gov/vocabulary/relators/aut$0508801 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466792003316 996 $aSymmetry Breaking$9772615 997 $aUNISA