Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-09-04
Phys.Atom.Nucl.65:353-364,2002; Yad.Fiz.65:377-389,2002
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, 6 figures
Scientific paper
10.1134/1.1451954
In the present paper the phase transition in the regularized U(1) gauge theory is investigated using the dual Abelian Higgs model of scalar monopoles. The corresponding renormalization group improved effective potential, analogous to the Coleman-Weinberg's one, was considered in the two-loop approximation for $\beta$ functions, and the phase transition (critical) dual and non-dual couplings were calculated in the U(1) gauge theory. It was shown that the critical value of the renormalized electric fine structure constant $\alpha_{\text{crit}}\approx 0.208$ obtained in this paper coincides with the lattice result for compact QED: $\alpha_{\text{crit}}^{\text{lat}}\approx 0.20\pm 0.015$. This result and the behavior of $\alpha$ in the vicinity of the phase transition point were compared with the Multiple Point Model prediction for the values of $\alpha$ near the Planck scale. Such a comparison is very encouraging for the Multiple Point Model assuming the existence of the multiple critical point at the Planck scale.
Laperashvili Larisa V.
Nielsen Holger Bech
Ryzhikh D. A.
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