Gauge-independent bifurcation to the chiral-symmetry-breaking solution of the Dyson-Schwinger equation in continuum QED

Journal Article · Thu Mar 15 00:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.2009· OSTI ID:7001996

Rembiesa, P ^[1]

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1. The Citadel, Military College of South Carolina, Charleston, South Carolina 29409 (USA)

The Dyson-Schwinger equation for the fermion propagator can be effectively solved in the approximation of the small-momentum-transfer vertex function. There exists a critical value of the coupling constant above which the ordinary infrared-divergent solution for massless quantum electrodynamics bifurcates to another, massive solution. With a proper transverse part included in the vertex function, the bifurcation point is gauge independent, the new solution is finite in all gauges, and does not require momentum cutoffs of any kind.

• OSTI ID: 7001996
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 41:6; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMIONS
PROPAGATOR
QUANTUM ELECTRODYNAMICS
INFRARED DIVERGENCES
CHIRAL SYMMETRY
COUPLING CONSTANTS
DYSON REPRESENTATION
GAUGE INVARIANCE
MASSLESS PARTICLES
MOMENTUM TRANSFER
PHOTONS
RENORMALIZATION
SYMMETRY BREAKING
ULTRAVIOLET DIVERGENCES
VERTEX FUNCTIONS
WARD IDENTITY
BOSON EXPANSION
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
QUANTUM FIELD THEORY
SYMMETRY
645400* - High Energy Physics- Field Theory