Aspects of Symmetry : Selected Erice Lectures


Sidney. Coleman
Bok Engelsk 1985 · Electronic books.
Annen tittel
Utgitt
Cambridge : Cambridge University Press , 1985
Omfang
1 online resource (418 p.)
Opplysninger
Description based upon print version of record.. - Cover; Title; Copyright; Dedication; Contents; Preface; Acknowledgements; 1 An introduction to unitary symmetry; 1 The search for higher symmetries; 1.1 The eight-baryon puzzle; 1.2 The elimination of Go; 2 SU(3) and its representations; 2.1 The representations of SU(n); 2.2 The representations of SU(2); 2.3 The representations of SU(3); 2.4 Dimensions of the IRs; 2.5 Isospin and hypercharge; 2.6 Isospin-hypercharge decompositions; 2.7 The Clebsch-Gordan series; 2.8 Some theorems; 2.9 Invariant couplings; 2.10 The problem of Cartesian components; 2.11 SU(2) again. - 2.12 SU(3) octets: trilinear couplings2.13 SU(3) octets: quadrilinear couplings; 2.14 A mixed notation; 3 Applications; 3.1 Electromagnetism; 3.2 Magnetic moments: baryons; 3.3 Electromagnetic mass splittings; 3.4 Electromagnetic properties of the decuplet; 3.5 The medium-strong interactions; 4 Ideas of octet enhancement; Bibliography; 2 Soft pions; 1 The reduction formula; 2 The weak interactions: first principles; 3 The Goldberger-Treiman relation and a first glance at PCAC; 4 A hard look at PCAC; 5 The gradient-coupling model; 6 Adler's rule for the emission of one soft pion. - 2.3 More about the scale current and a quick look at the conformal group2.4 Hidden scale invariance; 3 The death of scale invariance; 3.1 Some definitions and technical details; 3.2 A disaster in the deep Euclidean region; 3.3 Anomalous dimensions and other anomalies; 3.4 The last anomalies: the Callan-Symanzik equations; 4 The resurrection of scale invariance; 4.1 The renormalization group equations and their solution; 4.2 The return of scaling in the deep Euclidean region; 4.3 Scaling and the operator product expansion; 5 Conclusions and questions; Notes and references. - 2.4 The Higgs phenomenon in the Abelian model. - 4 Renormalization and symmetry: a review for non-specialists1 Introduction; 2 Bogoliubov's method and Hepp's theorem; 3 Renormalizable and non-renormalizable interactions; 4 Symmetry and symmetry-breaking: Symanzik's rule; 5 Symmetry and symmetry-breaking: currents; Notes and references; 5 Secret symmetry: an introduction to spontaneous symmetry breakdown and gauge fields; 1 Introduction; 2 Secret symmetries in classical field theory; 2.1 The idea of spontaneous symmetry breakdown; 2.2 Goldstone bosons in an Abelian model; 2.3 Goldstone bosons in the general case. - 7 Current commutators7.1 Vector-vector commutators; 7.2 Vector-axial commutators; 7.3 Axial-axial commutators; 8 The Weinberg-Tomozawa formula and the Adler-Weisberger relation; 9 Pion-pion scattering a la Weinberg; 10 Kaon decays; Appendix 1: Notational conventions; Appendix 2: No-renormalization theorem; Appendix 3: Threshold 5-matrix and threshold scattering lengths; Bibliography; 3 Dilatations; 1 Introduction; 2 The formal theory of broken scale invariance; 2.1 Symmetries, currents, and Ward identities; 2.2 Scale transformations and scale dimensions. - For almost two decades, Sidney Coleman has been giving review lectures on frontier topics in theoretical high-energy physics at the International School of Subnuclear Physics held each year at Erice, Sicily. This volume is a collection of some of the best of these lectures. To this day they have few rivals for clarity of exposition and depth of insight. Although very popular when first published, many of the lectures have been difficult to obtain recently. Graduate students and professionals in high-energy physics will welcome this collection by a master of the field.
Emner
Sjanger
Dewey
ISBN
0521267064. - 0521318270

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