Continuum strong-coupling expansion for quantum electrodynamics

Journal Article · Sun Nov 15 04:00:00 EST 1981 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.24.2706· OSTI ID:6107161

Cooper, F; Kenway, R

We derive from the path integral a continuum strong-coupling expansion for QED in d-dimensional Euclidean space-time. It s a double expansion in the fermion and boson kinetic energy (inverse free propagators), which leads to a double power series for the Green's functions of the cutoff theory in terms of 1/e/sup 2/ and ..lambda../sup 2//M/sup 2/. ..lambda.. is a smooth cutoff in Euclidean momentum space, and M is an infrared regulator mass for the photons needed to define the local part of the path integral. We demonstrate how dimensional continuation is necessary to control the broken gauge invariance of the cutoff theory. Restricting to d = 2 (the Schwinger model) we show how to remove the cutoff using Pade approximants. We find some evidence that as ..lambda../sup 2//M/sup 2/..-->..infinity gauge invariance is restored and we calculate the vector-mean mass, keeping the first three terms in the expansion in powers of the bare photon inverse propagator.

• Research Organization: Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 6107161
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 24:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
EUCLIDEAN SPACE
FERMIONS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
HADRONS
INTEGRALS
INVARIANCE PRINCIPLES
MASS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MESON RESONANCES
MESONS
PADE APPROXIMATION
PARTICLE MODELS
PROPAGATOR
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RESONANCE PARTICLES
RIEMANN SPACE
SPACE
SPACE-TIME
STRONG-COUPLING MODEL
SYMMETRY BREAKING
VECTOR MESONS