Electromagnetic fluxes, monopoles, and the order of the 4d compact U(1) phase transition

Details Electromagnetic fluxes, monopoles, and the order of the 4d compact U(1) phase transition Electromagnetic fluxes, monopoles, and the order of the 4d compact U(1) phase transition

2003-11-04

arxiv.org/abs/hep-lat/0311006v2

Nucl.Phys. B686 (2004) 85-118

Physics

High Energy Physics

High Energy Physics - Lattice

39 pages and 25 figures. The determination of the renormalized coupling has been improved. To appear in Nuclear Physics B

Scientific paper

10.1016/j.nuclphysb.2004.02.038

We consider the 4d compact U(1) gauge theory with extended action S=-beta sum_P cos theta_P -gamma sum_P cos 2 theta_P We give a full characterization of the phase diagram of this model using the notion of flux. The relation with the usual monopole picture is discussed. In analogy with the XY model we consider the helicity modulus \cite{Jose:1977gm} for this theory, and show that it is an order parameter. Analyzing the finite-size effects of the helicity modulus we conclude that the transition is first-order. The value of this order parameter is related to the renormalized coupling beta_R. We measure beta^c_R at the transition point and give a counterexample to its conjectured universal value \cite{Cardy:jg}.

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