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- Title
Phase Transition in the Higgs Model of Scalar Fields with Electric and Magnetic Charges.
- Authors
Laperashvili, L. V.; Nielsen, H. B.
- Abstract
Using a one-loop renormalization group improvement for the effective potential in the Higgs model of electrodynamics with electrically and magnetically charged scalar fields, we argue for the existence of a triple (critical) point in the phase diagram (λ[sub run], g[sup 4, sub run]), where λ[sub run] is the renormalized running self-interaction constant of the Higgs scalar monopoles and g[sub run] is their running magnetic charge. This triple point is a boundary point of three first-order phase transitions in the dual sector of the Higgs scalar electrodynamics: The "Coulomb" and two confinement phases meet together at this critical point. Considering the arguments for the one-loop approximation validity in the region of parameters around the triple point A we have obtained the following triple point values of the running couplings: (λ[sub (A)], g²[sub (A)]) ≈ (-13.4; 18.6), which are independent of the electric charge influence and two-loop corrections to g²[sub run] with high accuracy of deviations. At the triple point the mass of monopoles is equal to zero. The corresponding critical value of the electric fine structure constant turns out to be α[sub crit] = π/g²[sub (A)] ≈ 0.17 by the Dirac relation. This value is close to the α[sup lat, sub crit] ≈ 0.20 ± 0.015, which in a U(1) lattice gauge theory corresponds to the phase transition between the "Coulomb" and confinement phases. In our theory for α ≥ α[sub crit] there are two phases for the confinement of the electrically charged particles. The results of the present paper are very encouraging for the antigrand unification theory which was developed previously as a realistic alternative to SUSY GUT's. The paper is also devoted to the discussion of this problem.
- Subjects
INNER product spaces; RENORMALIZATION (Physics); PHASE transitions
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2001, Vol 16, Issue 13, p2365
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X01004104