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Preface for students | |
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Preface for instructors | |
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Acknowledgements | |
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Spin Zero | |
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Attempts at relativistic quantum mechanics | |
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Lorentz invariance | |
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Canonical quantization of scalar fields | |
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The spin-statistics theorem | |
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The LSZ reduction formula | |
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Path integrals in quantum mechanics | |
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The path integral for the harmonic oscillator | |
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The path integral for free field theory | |
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The path integral for interacting field theory | |
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Scattering amplitudes and the Feynman rules | |
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Cross sections and decay rates | |
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Dimensional analysis with ?=c=1 | |
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The Lehmann-K��ll�(c)n form | |
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Loop corrections to the propagator | |
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The one-loop correction in Lehmann-K��ll�(c)n form | |
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Loop corrections to the vertex | |
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Other 1PI vertices | |
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Higher-order corrections and renormalizability | |
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Perturbation theory to all orders | |
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Two-particle elastic scattering at one loop | |
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The quantum action | |
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Continuous symmetries and conserved currents | |
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Discrete symmetries: P, T, C, and Z | |
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Nonabelian symmetries | |
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Unstable particles and resonances | |
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Infrared divergences | |
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Other renormalization schemes | |
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The renormalization group | |
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Effective field theory | |
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Spontaneous symmetry breaking | |
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Broken symmetry and loop corrections | |
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Spontaneous breaking of continuous symmetries | |
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Spin One Half | |
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Representations of the Lorentz Group | |
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Left- and right-handed spinor fields | |
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Manipulating spinor indices | |
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Lagrangians for spinor fields | |
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Canonical quantization of spinor fields I | |
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Spinor technology | |
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Canonical quantization of spinor fields II | |
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Parity, time reversal, and charge conjugation | |
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LSZ reduction for spin-one-half particles | |
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The free fermion propagator | |
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The path integral for fermion fields | |
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Formal development of fermionic path integrals | |
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The Feynman rules for Dirac fields | |
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Spin sums | |
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Gamma matrix technology | |
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Spin-averaged cross sections | |
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The Feynman rules for majorana fields | |
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Massless particles and spinor helicity | |
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Loop corrections in Yukawa theory | |
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Beta functions in Yukawa theory | |
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Functional determinants | |
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Spin One | |
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Maxwell's equations | |
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Electrodynamics in coulomb gauge | |
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LSZ reduction for photons | |
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The path integral for photons | |
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Spinor electrodynamics | |
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Scattering in spinor electrodynamics | |
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Spinor helicity for spinor electrodynamics | |
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Scalar electrodynamics | |
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Loop corrections in spinor electrodynamics | |
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The vertex function in spinor electrodynamics | |
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The magnetic moment of the electron | |
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Loop corrections in scalar electrodynamics | |
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Beta functions in quantum electrodynamics | |
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Ward identities in quantum electrodynamics I | |
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Ward identities in quantum electrodynamics II | |
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Nonabelian gauge theory | |
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Group representations | |
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The path integral for nonabelian gauge theory | |
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The Feynman rules for nonabelian gauge theory | |
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The beta function for nonabelian gauge theory | |
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BRST symmetry | |
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Chiral gauge theories and anomalies | |
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Anomalies in global symmetries | |
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Anomalies and the path integral for fermions | |
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Background field gauge | |
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Gervais-Neveu gauge | |
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The Feynman rules for N x N matrix fields | |
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Scattering in quantum chromodynamics | |
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Wilson loops, lattice theory, and confinement | |
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Chiral symmetry breaking | |
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Spontaneous breaking of gauge symmetries | |
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Spontaneously broken abelian gauge theory | |
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Spontaneously broken nonabelian gauge theory | |
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The standard model: Gauge and Higgs sector | |
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The standard model: Lepton sector | |
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The standard model: Quark sector | |
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Electroweak interactions of hadrons | |
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Neutrino masses | |
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Solitons and monopoles | |
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Instantons and theta vacua | |
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Quarks and theta vacua | |
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Supersymmetry | |
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The minimal supersymmetric standard model | |
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Grand unification | |
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Bibliography | |