The Gauge invariance of the phase diagram in quenched QED

Haeri, Bijan, Jr.

doi:10.1103/PhysRevD.43.2701

The Gauge invariance of the phase diagram in quenched QED

Bijan Haeri, Jr.
(
- Michigan U.
)

Oct, 1990

24 pages

Published in:

Phys.Rev.D 43 (1991) 2701-2708

DOI:

10.1103/PhysRevD.43.2701

Report number:

UM-TH-90-17

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Abstract: (APS)

We incorporate an approximation to the full QED vertex containing both longitudinal and transverse pieces into the Schwinger-Dyson equation for the electron propagator in quenched QED, from which we find solutions to the dynamical electron mass M(p). Throughout we use a general covariant gauge, and find that the resulting four-Fermi coupling versus gauge-coupling diagram separating the chiral-symmetric and dynamically broken phases of quenched massless QED is gauge invariant.

quantum electrodynamics
critical phenomena
approximation: quenching
invariance: gauge
Dyson-Schwinger equation
electron: mass
mass: electron
Ward identity
fermion: propagator
vertex function

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