Recovery of gauge invariance in strong-coupling QED
- Chiba Univ. (Japan). Dept. of Physics
In this paper, under a novel ansatz for the vertex function, the Schwinger-Dyson equation for the fermion propagator in the cutoff QED is solved in the arbitrary gauge, taking account of the vacuum polarization in the photon propagator. For any ultraviolet cutoff [Lambda] there exists a bifurcation point e[sub c]([Lambda]) of the bare coupling constant above which the trivial fermion-mass function for massless QED bifurcates to another, nontrivial massive solution. With a proper choice of the transverse vertex function and the longitudinal vertex that respects the Ward-Takahashi identity, the critical point e[sub c]([infinity]) and the critical scaling behavior in the vicinity of the critical point are shown to be gauge-independent. In the arbitrary gauge, it is shown that the quenched, planar QED obeys Miransky's scaling of the essential-singularity type and the unquenched QED exhibits the mean-field critical behavior with classical critical exponents.
- OSTI ID:
- 6965986
- Journal Information:
- International Journal of Modern Physics A; (United States), Vol. 7:29; ISSN 0217-751X
- Country of Publication:
- United States
- Language:
- English
Similar Records
Nonperturbative study of the fermion propagator in quenched QED in covariant gauges using a renormalizable truncation of the Schwinger-Dyson equation
Renormalized strong-coupling quenched QED in four dimensions
Related Subjects
FERMIONS
DYSON REPRESENTATION
PROPAGATOR
QUANTUM ELECTRODYNAMICS
GAUGE INVARIANCE
COUPLING CONSTANTS
MASSLESS PARTICLES
MEAN-FIELD THEORY
PHASE TRANSFORMATIONS
SCALING LAWS
SINGULARITY
VERTEX FUNCTIONS
WARD IDENTITY
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
QUANTUM FIELD THEORY
662220* - Quantum Electrodynamics- (1992-)
662120 - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)