Gauge dependence of the effective potential for bilocal composite fields in Abelian gauge theories

Journal Article · Thu Feb 15 04:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.1296· OSTI ID:6964970

Mitani, N; Muta, T ^[1]; Yu, H ^[2]

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1. Department of Physics, Hiroshima University, Hiroshima 730, (Japan)
2. Institute of Physics, Academia Sinica, Nankang, Taipei, (Taiwan)

The Nielsen-Fukuda-Kugo identity expressing the gauge dependence of effective potentials is generalized to the case of the effective potential for bilocal composite fields in quantum electrodynamics. The resulting identity serves to show the gauge independence of the ground-state energy in the presence of dynamical chiral-symmetry breaking. As a by-product we derive a formula giving the gauge dependence of fermion propagators. It is shown explicitly that the effective potential in the quenched planar approximation does not respect the identity. The Nielsen-Fukuda-Kugo identity is also derived for the effective potential in the auxiliary-field approach.

• OSTI ID: 6964970
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
ELECTRODYNAMICS
FERMIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
POTENTIALS
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SCALAR FIELDS
SYMMETRY
SYMMETRY BREAKING
WARD IDENTITY