COMPACT U(1) LATTICE GAUGE-THEORY WITH MONOPOLE SUPPRESSION

We study properties of the compact 4D U(1) lattice gauge theory with monopoles removed. Employing Monte Carlo simulations we calculate correlators of scalar, vector and tensor operators at zero and nonzero momenta p over arrow pointing right. We confirm that the theory without monopoles has no phase transition, at least, in the interval 0 < beta less-than-or-equal-to 2. There the photon becomes massless, and fits the lattice free field theory dispersion relation very well. The energies of the 0++ , 1+- and 2++ states show a rather weak dependence on the coupling in the interval of beta investigated, and their ratios are practically constant. We show also a further modification of the theory suppressing the negative plaquettes to improve drastically the overlap with the lowest states (at least, for the case of photon).