Strongly coupled compact lattice QED with staggered fermions

Details Strongly coupled compact lattice QED with staggered fermions Strongly coupled compact lattice QED with staggered fermions

1997-05-30

arxiv.org/abs/hep-lat/9705043v1

Nucl.Phys. B532 (1998) 315-336

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages

Scientific paper

10.1016/S0550-3213(98)00451-9

We explore the compact U(1) lattice gauge theory with staggered fermions and gauge field action -\sum_P [\beta \cos(\Theta_P) + \gamma \cos(2\Theta_P)], both for dynamical fermions and in the quenched approximation. (\Theta_P denotes the plaquette angle.) In simulations with dynamical fermions at various \gamma \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 \gamma \le 0 on the same lattice, diminishing with decreasing \gamma. This suggests a second order transition in the thermodynamic limit of the theory with fermions for \gamma below some finite negative value. Studying the theory on large lattices at \gamma = -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, \beta \simeq 0.32 and \delta \simeq 1.8, and determine the scaling function. Furthermore, we evaluate the meson spectrum and study the PCAC relation.

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