1992/07/24 by Paul A. Griffin
Physics and Astronomy · #Chiral anomaly #Chiral symmetry breaking #Cold Atom Physics and Bose-Einstein Condensates #Coupling constant #Explicit symmetry breaking #Fermion #Gauge theory #Ground state #Hamiltonian (control theory) #Lattice field theory #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Spontaneous symmetry breaking #Symmetry breaking #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevd.47.3530
published as Phys.Rev. D47 (1993) 3530-3542 · 30 pages, UFIFT-HEP-92-19
arxiv created 1992/07/24 · openalex publication_date 1993/04/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 g2(a)>4\ensuremathπ,where g(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-\textonehalf Heisenberg antiferromagnet.