Renormalized strong-coupling quenched QED in four dimensions

Journal Article · Sat Mar 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.3866· OSTI ID:524915

Hawes, F T ^[1]; Sizer, T ^[2]; Williams, A G ^[3]

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1. Department of Physics and SCRI, Florida State University, Tallahassee, Florida 32306-3016 (United States)
2. Department of Physics and Mathematical Physics, University of Adelaide, 5005 (Australia)
3. Department of Physics and Mathematical Physics

We study renormalized quenched strong-coupling QED in four dimensions in an arbitrary covariant gauge. Above the critical coupling leading to dynamical chiral symmetry breaking, we show that there is no finite chiral limit. This behavior is found to be independent of the detailed choice of photon-fermion proper vertex in the Dyson-Schwinger equation formalism, provided that the vertex is consistent with the Ward-Takahashi identity and multiplicative renormalizability. We show that the finite solutions previously reported lie in an unphysical regime of the theory with multiple solutions and ultraviolet oscillations in the mass functions. This study is consistent with the assertion that in four dimensions strong coupling QED does not have a continuum limit in the conventional sense. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: Florida State University
• DOE Contract Number: FG02-85ER25000; FG02-86ER40273
• OSTI ID: 524915
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 6 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
FERMIONS
FOUR-DIMENSIONAL CALCULATIONS
MASS
OSCILLATIONS
PHOTONS
QUANTUM ELECTRODYNAMICS
RENORMALIZATION
SCHWINGER FUNCTIONAL EQUATIONS
STRONG-COUPLING MODEL
SYMMETRY BREAKING
VERTEX FUNCTIONS
WARD IDENTITY