Aspects of Symmetry : Selected Erice Lectures / Sidney Coleman.
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.
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Full Text (via Cambridge) |
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| Format: | Electronic eBook |
| Language: | English |
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Cambridge :
Cambridge University Press,
1985.
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MARC
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| 100 | 1 | |a Coleman, Sidney. | |
| 245 | 1 | 0 | |a Aspects of Symmetry : |b Selected Erice Lectures / |c Sidney Coleman. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 1985. | ||
| 300 | |a 1 online resource (420 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 500 | |a Title from publishers bibliographic system (viewed 22 Dec 2011). | ||
| 520 | |a 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. | ||
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 2.10 The problem of Cartesian components -- 2.11 SU(2) again -- 2.12 SU(3) octets: trilinear couplings -- 2.13 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. | |
| 505 | 8 | |a 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 -- 7 Current commutators -- 7.1 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. | |
| 505 | 8 | |a 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 -- 2.3 More about the scale current and a quick look at the conformal group -- 2.4 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. | |
| 505 | 8 | |a 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 -- 4 Renormalization and symmetry: a review for non-specialists -- 1 Introduction -- 2 Bogoliubov's method and Hepp's theorem -- 3 Renormalizable and non-renormalizable interactions. | |
| 650 | 0 | |a Symmetry (Physics) | |
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