Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1996-06-21
Phys.Rev.Lett. 77 (1996) 1933-1936
Physics
High Energy Physics
High Energy Physics - Lattice
11 pages, LaTeX, 2 figures
Scientific paper
10.1103/PhysRevLett.77.1933
The line of phase transitions, separating the confinement and the Coulomb phases in the four-dimensional pure compact U(1) gauge theory with extended Wilson action, is reconsidered. We present new numerical evidence that a part of this line, including the original Wilson action, is of second order. By means of a high precision simulation on homogeneous lattices on a sphere we find that along this line the scaling behavior is determined by one fixed point with distinctly non-Gaussian critical exponent nu = 0.365(8). This makes the existence of a nontrivial and nonasymptotically free four-dimensional pure U(1) gauge theory in the continuum very probable. The universality and duality arguments suggest that this conclusion holds also for the monopole loop gas, for the noncompact abelian Higgs model at large negative squared bare mass, and for the corresponding effective string theory.
Jersak Jiri
Lang Christian B.
Neuhaus Thomas
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