001434454 000__ 05381cam\a2200529\i\4500 001434454 001__ 1434454 001434454 003__ OCoLC 001434454 005__ 20230309003730.0 001434454 006__ m\\\\\o\\d\\\\\\\\ 001434454 007__ cr\nn\nnnunnun 001434454 008__ 210127s2021\\\\gw\\\\\\ob\\\\001\0\eng\d 001434454 019__ $$a1235761842$$a1236263833 001434454 020__ $$a9783662621660$$q(electronic book) 001434454 020__ $$a3662621665$$q(electronic book) 001434454 020__ $$z3662621649 001434454 020__ $$z9783662621646 001434454 0247_ $$a10.1007/978-3-662-62166-0$$2doi 001434454 035__ $$aSP(OCoLC)1239997588 001434454 040__ $$aSFB$$beng$$erda$$epn$$cSFB$$dGW5XE$$dYDX$$dEBLCP$$dOCLCO$$dOCLCF$$dUKAHL$$dOCLCQ$$dOCLCO$$dCOM$$dOCLCQ 001434454 049__ $$aISEA 001434454 050_4 $$aQC174.17.S9 001434454 08204 $$a539.7/25$$223 001434454 1001_ $$aStrocchi, F.,$$eauthor. 001434454 24510 $$aSymmetry Breaking /$$cFranco Strocchi. 001434454 250__ $$aThird edition. 001434454 264_1 $$aBerlin, Germany :$$bSpringer,$$c[2021] 001434454 300__ $$a1 online resource (xiii, 286 pages) 001434454 336__ $$atext$$btxt$$2rdacontent 001434454 337__ $$acomputer$$bc$$2rdamedia 001434454 338__ $$aonline resource$$bcr$$2rdacarrier 001434454 4901_ $$aTheoretical and mathematical physics,$$x1864-5879 001434454 504__ $$aIncludes bibliographical references and index. 001434454 5050_ $$apt. 1. Symmetry breaking in classical systems. Symmetries of a classical system ; Spontaneous symmetry breaking ; Symmetries in classical field theory ; General properties of solutions of classical field equations ; Stable structures, Hilbert sectors, phases ; Stability under space translations. Positive energy ; Noether theorem and symmetry breaking ; Examples ; The Goldstone theorem ; Appendixes: Properties of the free wave propagator; The Cauchy problem for small times; The global Cauchy problem; The non-linear wave equation with driving team; Time independent solutions defining physical sectors -- pt. 2. Symmetry breaking in quantum systems. Quantum mechanics. Algebraic structure and states ; Fock representation ; Non-fock representations ; Mathematical description of infinitely extended quantum systems ; Physically relevant representations ; Cluster property and pure phases ; Examples ; Symmetry breaking in quantum systems ; Examples ; Constructive symmetry breaking ; Symmetry breaking in the Ising model ; Thermal states ; Fermi and bose gas at non-zero temperature ; Breaking of continuous symmetries. Goldstone's theorem ; The Goldstone theorem at non-zero temperature ; The Goldstone theorem for relativistic local fields ; An extension of Goldstone theorem to non-symmetric Hamiltonians ; Symmetry breaking in gauge theories. 001434454 506__ $$aAccess limited to authorized users. 001434454 520__ $$aThe third edition of the by now classic reference on rigorous analysis of symmetry breaking in both classical and quantum field theories adds new topics of relevance, in particular the effect of dynamical Coulomb delocalization, by which boundary conditions give rise to volume effects and to energy/mass gap in the Goldstone spectrum (plasmon spectrum, Anderson superconductivity, Higgs phenomenon). The book closes with a discussion of the physical meaning of global and local gauge symmetries and their breaking, with attention to the effect of gauge group topology in QCD. From the reviews of the first edition: It is remarkable to see how much material can actually be presented in a rigorous way (incidentally, many of the results presented are due to Strocchi himself), yet this is largely ignored, the original heuristic derivations being, as a rule, more popular. - At each step he strongly emphasizes the physical meaning and motivation of the various notions introduced ... a book that fills a conspicuous gap in the literature, and does it rather well. It could also be a good basis for a graduate course in mathematical physics. J.-P. Antoine, Physicalia 28/2, 2006 Despite many accounts in popular textbooks and a widespread belief, the phenomenon is rather subtle, requires an infinite set of degrees of freedom and an advanced mathematical setting of the system under investigation. ... The mathematically oriented graduate student will certainly benefit from this thorough, rigorous and detailed investigation. G. Roepstorff, Zentralblatt MATH, Vol. 1075, 2006 From the reviews of the second edition: This second edition of Strocchi's Symmetry Breaking presents a complete, generalized and highly rigorous discussion of the subject, based on a formal analysis of conditions necessary for the mechanism of spontaneous symmetry breaking to occur in classical systems, as well as in quantum systems. ... This book is specifically recommended for mathematical physicists interested in a deeper and rigorous understanding of the subject, and it should be mandatory for researchers studying the mechanism of spontaneous symmetry breaking. S. Hajjawi, Mathematical Reviews, 2008. 001434454 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 8, 2021). 001434454 650_0 $$aBroken symmetry (Physics) 001434454 650_6 $$aSymétrie brisée (Physique) 001434454 655_0 $$aElectronic books. 001434454 77608 $$iPrint version:$$z9783662621646 001434454 830_0 $$aTheoretical and mathematical physics (Springer (Firm)),$$x1864-5879 001434454 852__ $$bebk 001434454 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-662-62166-0$$zOnline Access$$91397441.1 001434454 909CO $$ooai:library.usi.edu:1434454$$pGLOBAL_SET 001434454 980__ $$aBIB 001434454 980__ $$aEBOOK 001434454 982__ $$aEbook 001434454 983__ $$aOnline 001434454 994__ $$a92$$bISE