Renormalization counterterms in linearized lattice QED

Journal Article · Sun Dec 15 04:00:00 EST 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.3924· OSTI ID:5926574

Bodwin, G T ^[1]; Kovacs, E V ^[2]; Sloan, J ^[3]

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1. High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
2. Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)
3. Department of Physics, The Ohio State University, Columbus, Ohio 43210 (United States)

We analyze in weak-coupling perturbation theory the renormalization-counterterm structure of linearized lattice quantum electrodynamics (QED). We find that, although the linearized theory is gauge invariant, counterterms appear that would be forbidden by the Ward identities in the compact formulation of lattice QED. For example, the photon develops a mass, the light-by-light scattering amplitude becomes noncovariant, and the coupling constant is renormalized even in the quenched version of the theory. Gauge invariance does not preclude the appearance of such counterterms in the linearized theory because the formulation is nonlocal.

• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 5926574
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:12; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662220* -- Quantum Electrodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CORRECTIONS
COUPLING CONSTANTS
DIAGRAMS
DIRAC OPERATORS
ELECTRODYNAMICS
ENERGY
FEYNMAN DIAGRAM
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NONLOCAL POTENTIAL
NUCLEAR MODELS
PERTURBATION THEORY
POTENTIALS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RADIATIVE CORRECTIONS
RENORMALIZATION
SCATTERING AMPLITUDES
SELF-ENERGY
ULTRAVIOLET DIVERGENCES
WARD IDENTITY
WEAK-COUPLING MODEL