1997/05/30 by J. Cox, W. Franzki, J. Jersák +2 · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.1016/s0550-3213(98)00451-9
published as Nucl.Phys. B532 (1998) 315-336 · 21 pages
arxiv created 1997/05/30 · openalex publication_date 1998/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We explore the compact U(1) lattice gauge theory with staggered fermions and gauge field action -∑P [βcos(ΘP) + γcos(2ΘP)], both for dynamical fermions and in the quenched approximation. (ΘP denotes the plaquette angle.) In simulations with dynamical fermions at various γ≤ -0.2 on 64 lattices we find the energy gap at the phase transition of a size comparable to the pure gauge theory for γ≤ 0 on the same lattice, diminishing with decreasing γ. This suggests a second order transition in the thermodynamic limit of the theory with fermions for γbelow some finite negative value. Studying the theory on large lattices at γ= -0.2 in the quenched approximation by means of the equation of state we find non-Gaussian values of the critical exponents associated with the chiral condensate, β≃ 0.32 and δ≃ 1.8, and determine the scaling function. Furthermore, we evaluate the meson spectrum and study the PCAC relation.