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Title: Staggered fermions and chiral-symmetry breaking in transverse lattice regulated QED

Abstract

Staggered fermions are constructed for the transverse lattice regularization scheme. The weak perturbation theory of transverse lattice noncompact QED is developed in the light-cone gauge, and we argue that for fixed lattice spacing this theory is ultraviolet finite, order by order in perturbation theory. However, by calculating the anomalous scaling dimension of the link fields, we find that the interaction Hamiltonian becomes nonrenormalizable for [ital g][sup 2]([ital a])[gt]4[pi], where [ital g]([ital a]) is the bare (lattice) QED coupling constant. We conjecture that this is the critical point of the chiral-symmetry-breaking phase transition in QED. Nonperturbative chiral-symmetry breaking is then studied in the strong-coupling limit. The discrete remnant of chiral symmetry that remains on the lattice is spontaneously broken, and the ground state to lowest order in the strong-coupling expansion corresponds to the classical ground state of the two-dimensional spin-1/2 Heisenberg antiferromagnet.

Authors:
 [1]
  1. Department of Physics, University of Florida, Gainesville, Florida 32611 (United States)
Publication Date:
OSTI Identifier:
6704570
Resource Type:
Journal Article
Journal Name:
Physical Review, D (Particles Fields); (United States)
Additional Journal Information:
Journal Volume: 47:8; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FERMIONS; CHIRAL SYMMETRY; QUANTUM ELECTRODYNAMICS; COUPLING CONSTANTS; LATTICE FIELD THEORY; RENORMALIZATION; ELECTRODYNAMICS; FIELD THEORIES; QUANTUM FIELD THEORY; SYMMETRY; 662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-); 662220 - Quantum Electrodynamics- (1992-)

Citation Formats

Griffin, P A. Staggered fermions and chiral-symmetry breaking in transverse lattice regulated QED. United States: N. p., 1993. Web. doi:10.1103/PhysRevD.47.3530.
Griffin, P A. Staggered fermions and chiral-symmetry breaking in transverse lattice regulated QED. United States. https://doi.org/10.1103/PhysRevD.47.3530
Griffin, P A. Thu . "Staggered fermions and chiral-symmetry breaking in transverse lattice regulated QED". United States. https://doi.org/10.1103/PhysRevD.47.3530.
@article{osti_6704570,
title = {Staggered fermions and chiral-symmetry breaking in transverse lattice regulated QED},
author = {Griffin, P A},
abstractNote = {Staggered fermions are constructed for the transverse lattice regularization scheme. The weak perturbation theory of transverse lattice noncompact QED is developed in the light-cone gauge, and we argue that for fixed lattice spacing this theory is ultraviolet finite, order by order in perturbation theory. However, by calculating the anomalous scaling dimension of the link fields, we find that the interaction Hamiltonian becomes nonrenormalizable for [ital g][sup 2]([ital a])[gt]4[pi], where [ital g]([ital a]) is the bare (lattice) QED coupling constant. We conjecture that this is the critical point of the chiral-symmetry-breaking phase transition in QED. Nonperturbative chiral-symmetry breaking is then studied in the strong-coupling limit. The discrete remnant of chiral symmetry that remains on the lattice is spontaneously broken, and the ground state to lowest order in the strong-coupling expansion corresponds to the classical ground state of the two-dimensional spin-1/2 Heisenberg antiferromagnet.},
doi = {10.1103/PhysRevD.47.3530},
url = {https://www.osti.gov/biblio/6704570}, journal = {Physical Review, D (Particles Fields); (United States)},
issn = {0556-2821},
number = ,
volume = 47:8,
place = {United States},
year = {1993},
month = {4}
}