weak - Contents 1 — Classical Symmetries 2 1.1...

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Unformatted text preview: Contents 1 — Classical Symmetries 2 1.1 Noether’s Theorem – Classical . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1a — Quantum Field Theory 11 1a.1 Local Quantum Field Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1a.2 Composite Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 1b — Gauge Symmetries 21 1b.1 Noether’s Theorem – Field Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 1b.2 Gauge Theories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 1b.3 Global Symmetries of Gauge Theories . . . . . . . . . . . . . . . . . . . . . . . . . . 26 2 — Weinberg’s Model of Leptons 29 2.1 The electron . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 2.2 SU (2) × U (1) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 2.3 Renormalizability? An Interlude . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 2.4 Spontaneous Symmetry Breakdown . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 2.5 The Goldstone Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 2.6 The σ-Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 2.7 The Higgs Mechanism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 2.8 Neutral Currents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 2.9 e + e-→ μ + μ-. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 3 — Quarks and QCD 49 3.1 Color SU (3) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 3.2 A Toy Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 3.3 Quark Doublets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 3.4 GIM and Charm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 3.5 The Standard Six–Quark Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 3.6 CP Violation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 4 — SU (3) and Light Hadron Semileptonic Decays 63 4.1 Weak Decays of Light Hadrons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 4.2 Isospin and the Determination of V ud . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 4.3 f π . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 4.4 Strangeness Changing Currents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 4.5 PT Invariance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 i Weak Interactions — Howard Georgi — draft - March 25, 2010 — ii 4.6 Second Class Currents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
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This note was uploaded on 02/04/2012 for the course PHY 253B taught by Professor Georgi during the Spring '10 term at Princeton.

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weak - Contents 1 — Classical Symmetries 2 1.1...

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