integral quantization of tensor fields
12.5References
13BRST invariance and its consequences
13.2Covariant quantization of Yang-Mills theory
13.3Unitarity
13.4Slavnov-Taylor identity
13.5Feynman rules
13.6Ghost free gauges
13.7References
14Higgs phenomenon and the standard model
14.1Stückelberg formalism
14.2Higgs phenomenon
14.3The standard model
14.3.1Field content
14.3.2Lagrangian density
14.3.3Spontaneous symmetry breaking
14.4References
15Regularization of Feynman diagrams
15.2Loop expansion
15.3Cut-off regularization
15.3.1Calculation in the Yukawa theory
15.4Pauli-Villars regularization
15.5Dimensional regularization
15.5.1Calculations in QED
15.6References
16.1Superficial degree of divergence
16.2A brief history of renormalization
16.3Schwinger-Dyson equation
16.4BPHZ renormalization
16.5Renormalization of gauge theories
16.6Anomalous Ward identity
16.7References
17Renormalization group and equation
17.2Renormalization group
17.3Renormalization group equation
17.4Solving the renormalization group equation
17.5Callan-Symanzik equation
17.6References
18Nielsen identities and gauge independence of physical parameters
18.2Questions associated with the effective potential
18.3Gauge independence of the fermion mass
18.3.1Fermion mass
18.3.2Pole of the fermion Green’s function
18.3.3Interpolating gauge
18.3.4Nielsen identity for QED
18.3.5Gauge dependence of the pole of the propagator
18.3.6Infrared divergence and gauge dependence of fermion mass
18.4References
19Basics of global supersymmetry
19.1Graded Lie algebras
19.1.1Representations
19.2Supersymmetric quantum mechanics
19.3Supersymmetric field theories
19.3.1Wess-Zumino theory
19.3.2Vector multiplet
19.3.3Supersymmetric Higgs model
19.4Superspace
19.5References
A1Fermions in 4 dimensions
A2Spinors in D space-time dimensions
A3References
Appendix: Gauge invariant potential and the Fock-Schwinger gauge
B1Gauge invariant potential
B2Fock-Schwinger gauge
B3References
CHAPTER 1
Relativistic equations
1.1Introduction
As we know, in single particle, non-relativistic quantum mechanics, we start with the Hamiltonian description of
