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