Study of the Coulomb-Higgs transition in the abelian Higgs model



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Cruz, A. and Íñiguez, D. and Fernández Pérez, Luis Antonio and Muñoz Sudupe, Antonio and Tarancón, A. (1998) Study of the Coulomb-Higgs transition in the abelian Higgs model. Physics letters B, 416 (1-2). pp. 163-168. ISSN 0370-2693

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The order of the Coulomb-Higgs transition in the U (1) -Higgs model with unfrozen modulus of the scalar field is studied. Large lattices (up to 24^4 in one case) and high statistics are used. We fix β = 1.15 and explore specially a region of λ-values where metastability is observed. We study the thermodynamical limit of several observables, in particular, the latent heat, the specific heat, the decrement of the free energy between the maxima and the central minimum of the two-peaked histogram, the Binder cumulant and the displacement of the critical coupling with the lattice size. The results point towards a second order transition for λ ≥ 0.005, while for smaller values of λ the strong metastability growing with the lattice size seems to derive from a first order character.

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© 1998 Elsevier Science B.V. We are very grateful to the RTN collaboration for the use of their transputer machine where we have run most of our simulations. D.I. acknowledges the EPCC and the Deparment of Physics of Edinburgh, as well as the Ministerio de Educación y Cultura (Spain) for a fellowship. This work has been partially supported by CICYT under contract numbers AEN96-1634 and AEN96-1670 and by the EU under contract number ERB-CHRX CT 92-0051.

Uncontrolled Keywords:Lattice-Gauge-theories; Phase-transitions; Monte-Carlo; U(1)-Higgs model.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:40989
Deposited On:30 Jan 2017 08:16
Last Modified:30 Jan 2017 08:16

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