Staggered fermions and chiralsymmetry 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 lightcone 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 chiralsymmetrybreaking phase transition in QED. Nonperturbative chiralsymmetry breaking is then studied in the strongcoupling limit. The discrete remnant of chiral symmetry that remains on the lattice is spontaneously broken, and the ground state to lowest order in the strongcoupling expansion corresponds to the classical ground state of the twodimensional spin1/2 Heisenberg antiferromagnet.
 Authors:

 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 05562821
 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 chiralsymmetry breaking in transverse lattice regulated QED. United States: N. p., 1993.
Web. doi:10.1103/PhysRevD.47.3530.
Griffin, P A. Staggered fermions and chiralsymmetry breaking in transverse lattice regulated QED. United States. https://doi.org/10.1103/PhysRevD.47.3530
Griffin, P A. Thu .
"Staggered fermions and chiralsymmetry breaking in transverse lattice regulated QED". United States. https://doi.org/10.1103/PhysRevD.47.3530.
@article{osti_6704570,
title = {Staggered fermions and chiralsymmetry 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 lightcone 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 chiralsymmetrybreaking phase transition in QED. Nonperturbative chiralsymmetry breaking is then studied in the strongcoupling limit. The discrete remnant of chiral symmetry that remains on the lattice is spontaneously broken, and the ground state to lowest order in the strongcoupling expansion corresponds to the classical ground state of the twodimensional spin1/2 Heisenberg antiferromagnet.},
doi = {10.1103/PhysRevD.47.3530},
url = {https://www.osti.gov/biblio/6704570},
journal = {Physical Review, D (Particles Fields); (United States)},
issn = {05562821},
number = ,
volume = 47:8,
place = {United States},
year = {1993},
month = {4}
}