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- W1611148273 abstract "Using a one-loop approximation for the effective potential in the Higgs model of electrodynamics for a charged scalar field, we argue for the existence of a triple point for the renormalized (running) values of the selfinteraction $lambda$ and the g given by $(lambda_{run}, g^2) = (-{10/9} pi^2,{4/3}sqrt{{5/3}}{pi^2}) approx(-11, 17)$. Considering the beta-function as a typical quantity we estimate that the one-loop approximation is valid with accuracy of deviations not more than 30% in the region of the parameters: $0.2 stackrel{<}{sim}{large alpha, tilde{alpha}} stackrel{<}{sim}1.35.$ The phase diagram given in the present paper corresponds to the above-mentioned region of $alpha, tilde alpha$. Under the point of view that the Higgs particle is a monopole with a magnetic charge g, the obtained electric fine structure constant turns out to be $alpha_{crit}approx{0.18_5}$ by the Dirac relation. This value is very close to the $alpha_{crit}^{lat}approx{0.20}$ which in a U(1) lattice gauge theory corresponds to the phase transition between the Coulomb and confinement phases. Such a result is very encouraging for the idea of an approximate universality (regularization independence) of gauge couplings at the phase transition point. This idea was suggested by the authors in their earlier papers." @default.
- W1611148273 created "2016-06-24" @default.
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- W1611148273 date "1999-09-24" @default.
- W1611148273 modified "2023-09-25" @default.
- W1611148273 title "Phase transition couplings in the Higgsed monopole model" @default.
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