equation 100.5 eq:qed-free-dirac
open in the book ·
parts/11-qft-standard-model/02-qed-renormalization.tex:150
- connected by a declared semantic edge
Rests on
No declared or derived dependency edges point away from this node yet.
Supports
-
depends_on
lemma 100.40
Gordon identity
¶
-
depends_on
theorem 100.41
Schwinger
¶
- depends_on phenomenon 112.2 The electron magnetic moment is not the Dirac value ¶
-
depends_on
phenomenon 100.67
The electron is not a pure Dirac particle
¶
- depends_on proposition 100.71 Several roads to $\alpha$, and why that matters ¶
-
depends_on
theorem 100.41
Schwinger
¶
-
depends_on
lemma 100.23
Trace theorems
¶
- depends_on lemma 101.46 The spin-summed square ¶
-
depends_on
proposition 101.14
There are exactly five bilinear covariants
¶
-
depends_on
proposition 101.23
Behaviour of the bilinears under parity
¶
-
depends_on
phenomenon 101.26
Parity is violated in weak decays
¶
- tests experiment Parity Violation ¶
- depends_on proposition 101.36 Maximal parity violation is exactly $V-A$ ¶
-
depends_on
phenomenon 101.26
Parity is violated in weak decays
¶
-
depends_on
proposition 101.15
Allowed selection rules
¶
- assumes experiment Parity Violation ¶ ↺
-
depends_on
phenomenon 101.18
Superallowed decays measure one number
¶
- depends_on phenomenon 101.40 The vector coupling is not renormalized ¶
-
depends_on
proposition 101.23
Behaviour of the bilinears under parity
¶
-
depends_on
theorem 100.31
One-loop vacuum polarization
¶
- depends_on phenomenon 100.69 Light scatters off light ¶
- depends_on proposition 105.2 Parity on a Dirac field ¶
-
depends_on
proposition 105.20
Chirality and helicity
¶
- assumes experiment Parity Violation ¶ ↺
-
depends_on
proposition 106.85
Classical conservation of the axial current
¶
-
depends_on
theorem 106.87
The axial anomaly
¶
-
depends_on
proposition 102.67
The chiral symmetry of massless quarks
¶
-
depends_on
phenomenon 102.68
The spectrum has no parity doublets
¶
- depends_on phenomenon 102.72 The pion is anomalously light ¶
- depends_on theorem 102.70 Goldstone ¶
- depends_on theorem 107.29 Chiral power counting for the nuclear force ¶
-
depends_on
phenomenon 102.68
The spectrum has no parity doublets
¶
- depends_on proposition 102.16 The neutral pion width counts colours squared ¶
-
depends_on
proposition 102.67
The chiral symmetry of massless quarks
¶
-
depends_on
theorem 106.87
The axial anomaly
¶
-
depends_on
proposition 106.74
Naive discretization doubles the species sixteen
times
¶
- depends_on theorem 106.75 Nielsen–Ninomiya ¶
-
depends_on
proposition 106.38
Integrating out the fermions
¶
-
depends_on
corollary 106.39
The minus sign of a closed fermion loop
¶
- depends_on proposition 104.66 The quartic coupling runs down ¶
- depends_on proposition 106.55 Ghosts are required by unitarity ¶
-
depends_on
corollary 106.39
The minus sign of a closed fermion loop
¶
-
depends_on
theorem 100.5
The gauge principle
¶
-
depends_on
proposition 100.14
The Feynman rules of QED in SI form
¶
-
depends_on
lemma 100.22
Spin sums
¶
-
depends_on
proposition 100.24
Cross-section master formula
¶
- depends_on lemma 101.47 The two-neutrino phase space ¶
-
depends_on
proposition 100.24
Cross-section master formula
¶
- depends_on proposition 102.29 Feynman rules for QCD in SI form ¶
- depends_on proposition 100.24 Cross-section master formula ¶ ↺
- depends_on proposition 101.45 Decay-rate master formula ¶
-
depends_on
proposition 101.68
The low-energy limit reproduces Fermi
¶
-
depends_on
proposition 101.70
The effective neutral-current interaction
¶
- depends_on phenomenon 101.72 Neutrinos scatter without becoming charged leptons ¶
-
depends_on
proposition 101.70
The effective neutral-current interaction
¶
-
depends_on
theorem 100.25
One-photon exchange is the Coulomb potential
¶
-
depends_on
proposition 100.33
Uehling's modification of the Coulomb potential
¶
- depends_on phenomenon 100.62 The fine-structure constant runs ¶
- depends_on theorem 108.64 Appelquist–Carazzone ¶
- depends_on theorem 102.60 Confinement at strong coupling, and what it proves ¶
-
depends_on
proposition 100.33
Uehling's modification of the Coulomb potential
¶
- depends_on theorem 100.41 Schwinger ¶ ↺
-
depends_on
theorem 100.35
One-loop electron self-energy
¶
- depends_on phenomenon 100.66 The Lamb shift ¶
- depends_on theorem 100.31 One-loop vacuum polarization ¶ ↺
-
depends_on
lemma 100.22
Spin sums
¶
-
depends_on
proposition 100.6
The coupling is universal
¶
- depends_on phenomenon 101.40 The vector coupling is not renormalized ¶ ↺
- depends_on theorem 100.48 Ward–Takahashi ¶
-
depends_on
proposition 100.14
The Feynman rules of QED in SI form
¶
Neighborhood
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | Gordon identity | declared | parts/11-qft-standard-model/02-qed-renormalization.tex:2000 |
depends_on |
← | Trace theorems | declared | parts/11-qft-standard-model/02-qed-renormalization.tex:1145 |
depends_on |
← | Parity on a Dirac field | declared | parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:227 |
depends_on |
← | Chirality and helicity | declared | parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:1320 |
depends_on |
← | Classical conservation of the axial current | declared | parts/11-qft-standard-model/08-path-integral-quantization.tex:4054 |
depends_on |
← | Naive discretization doubles the species sixteen times | declared | parts/11-qft-standard-model/08-path-integral-quantization.tex:3492 |
depends_on |
← | Integrating out the fermions | declared | parts/11-qft-standard-model/08-path-integral-quantization.tex:1946 |
depends_on |
← | The gauge principle | declared | parts/11-qft-standard-model/02-qed-renormalization.tex:204 |