Electromagnetic fluxes, monopoles, and the order of 4d compact U(1) phase transition
Abstract
We consider 4d compact U(1) gauge theory with extended action S=β limit_{∑}Pcosθ _{P}γ limit_{∑}Pcos2θ _{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 [Phys. Rev. B 16 (1977) 1217] for this theory, and show that it is an order parameter. Analyzing the finitesize effects of the helicity modulus we conclude that the transition is firstorder. The value of this order parameter is related to the renormalized coupling β_{R}. We measure β^{c}_{R} at the transition point and give a counterexample to its conjectured universal value [Nucl. Phys. B 170 (1980) 369].
 Publication:

Nuclear Physics B
 Pub Date:
 May 2004
 DOI:
 10.1016/j.nuclphysb.2004.02.038
 arXiv:
 arXiv:heplat/0311006
 Bibcode:
 2004NuPhB.686...85V
 Keywords:

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