Strongly coupled compact lattice QED with staggered fermions
arXiv:hep-lat/9705043 · doi:10.1016/S0550-3213(98)00451-9
Abstract
We explore the compact U(1) lattice gauge theory with staggered fermions and gauge field action -\sum_P [β\cos(Θ_P) + γ\cos(2Θ_P)], both for dynamical fermions and in the quenched approximation. (Θ_P denotes the plaquette angle.) In simulations with dynamical fermions at various γ\le -0.2 on 6^4 lattices we find the energy gap at the phase transition of a size comparable to the pure gauge theory for γ\le 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\simeq 0.32 and δ\simeq 1.8, and determine the scaling function. Furthermore, we evaluate the meson spectrum and study the PCAC relation.
21 pages
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- Spectrum of the U(1) staggered Dirac operator in four dimensions
- Exact Zero-Modes of the Compact QED Dirac Operator
- Dynamical fermion mass generation at a tricritical point in strongly coupled U(1) lattice gauge theory
- Chiral transition and monopole percolation in lattice scalar QED with quenched fermions
- On the continuum limit of gauge-fixed compact U(1) lattice gauge theory
- Low-lying Dirac eigenmodes and monopoles in 4D compact QED
- Study of compact abelian lattice gauge theories