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Part XI ›
Path-Integral Quantization
Path-Integral Quantization
foundations results +56 more equations +32 more phenomena owed depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) definition 106.12: Euclidean time 106.12 Euclidean time definition 106.19: Schwinger functions 106.19 Schwinger functi… notation 106.23: The scalar field and its source 106.23 The scalar field… definition 106.24: The generating functional 106.24 The generating f… definition 106.34: Grassmann algebra 106.34 Grassmann algebra definition 106.41: Effective action 106.41 Effective action notation 106.50: Absorbing the coupling into the potential 106.50 Absorbing the co… definition 106.56: The BRST operator 106.56 The BRST operator definition 106.59: BRST charge and physical states 106.59 BRST charge and… definition 106.66: Link variables and the plaquette 106.66 Link variables a… definition 106.70: Wilson loop 106.70 Wilson loop definition 106.79: Topological charge 106.79 Topological char… lemma 106.1: The short-time kernel 106.1 The short-time k… lemma 106.2: Gaussian integrals 106.2 Gaussian integra… theorem 106.3: Feynman's sum over histories 106.3 Feynman's sum ov… proposition 106.4: From the kernel to the Schrödinger equation 106.4 From the kernel… theorem 106.7: Trotter product formula 106.7 Trotter product… proposition 106.9: The midpoint rule is forced by gauge invariance 106.9 The midpoint rul… theorem 106.10: Stationary phase 106.10 Stationary phase proposition 106.11: The semiclassical propagator is the WKB
wavefunction 106.11 The semiclassica… proposition 106.13: The Euclidean weight 106.13 The Euclidean we… proposition 106.14: The Feynman contour permits the rotation 106.14 The Feynman cont… theorem 106.16: Feynman–Kac 106.16 Feynman–Kac proposition 106.17: Euclidean time projects onto the ground state 106.17 Euclidean time p… theorem 106.18: The partition function is a periodic path integral 106.18 The partition fu… equation 106.1: eq:pathint-propagator-def eq. (106.1) equation 106.3: eq:pathint-hj eq. (106.3) equation 106.5: eq:pathint-short-time eq. (106.5) equation 106.6: eq:pathint-short-time-momentum eq. (106.6) equation 106.7: eq:pathint-gaussian-n eq. (106.7) equation 106.8: eq:pathint-fresnel eq. (106.8) equation 106.9: eq:pathint-sliced eq. (106.9) equation 106.17: eq:pathint-van-vleck eq. (106.17) equation 106.22: eq:pathint-feynman-kac eq. (106.22) equation 106.24: eq:pathint-spectral eq. (106.24) equation 106.30: eq:pathint-reflection-positivity eq. (106.30) equation 106.32: eq:pathint-scalar-lagrangian eq. (106.32) equation 106.35: eq:pathint-Z eq. (106.35) phenomenon 106.5: The Aharonov–Bohm effect 106.5 The Aharonov–Boh… phenomenon 106.77: The light hadron spectrum is a prediction of QCD 106.77 The light hadron… phenomenon 106.91: The neutral pion decays to two photons at the
anomaly rate 106.91 The neutral pion… pending : ch:08-path-integral-quantization@pending-1 pending pending : ch:08-path-integral-quantization@pending-2 pending pending : ch:08-path-integral-quantization@pending-3 pending pending : ch:08-path-integral-quantization@pending-4 pending pending : ch:08-path-integral-quantization@pending-5 pending The chain of Path-Integral Quantization: 46 of 134 objects, read left to right from what the chapter assumes to what tests it. Solid lines are declared logical edges, dashed ones were inferred from the structure of the source. Click any node to open its own chain.