skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Effective potential at finite temperature in a constant hypermagnetic field: Ring diagrams in the standard model

Abstract

We study the symmetry breaking phenomenon in the standard model during the electroweak phase transition in the presence of a constant hypermagnetic field. We compute the finite temperature effective potential up to the contribution of ring diagrams in the weak field, high temperature limit and show that under these conditions, the phase transition becomes stronger first order.

Authors:
;  [1];  [2]
  1. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Apartado Postal 70-543, Mexico Distrito Federal 04510 (Mexico)
  2. Centro Tecnologico, FES Aragon, Universidad Nacional Autonoma de Mexico, Avenida Rancho Seco S/N, Bosques de Aragon, Nezahualcoyotl, Estado de Mexico 57130 (Mexico)
Publication Date:
OSTI Identifier:
21011036
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.75.043004; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMIC RADIATION; COSMOLOGY; ELECTROMAGNETIC INTERACTIONS; MAGNETIC FIELDS; PHASE TRANSFORMATIONS; POTENTIALS; RADIOWAVE RADIATION; STANDARD MODEL; SYMMETRY BREAKING; WEAK INTERACTIONS

Citation Formats

Sanchez, Angel, Ayala, Alejandro, and Piccinelli, Gabriella. Effective potential at finite temperature in a constant hypermagnetic field: Ring diagrams in the standard model. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.043004.
Sanchez, Angel, Ayala, Alejandro, & Piccinelli, Gabriella. Effective potential at finite temperature in a constant hypermagnetic field: Ring diagrams in the standard model. United States. doi:10.1103/PHYSREVD.75.043004.
Sanchez, Angel, Ayala, Alejandro, and Piccinelli, Gabriella. Thu . "Effective potential at finite temperature in a constant hypermagnetic field: Ring diagrams in the standard model". United States. doi:10.1103/PHYSREVD.75.043004.
@article{osti_21011036,
title = {Effective potential at finite temperature in a constant hypermagnetic field: Ring diagrams in the standard model},
author = {Sanchez, Angel and Ayala, Alejandro and Piccinelli, Gabriella},
abstractNote = {We study the symmetry breaking phenomenon in the standard model during the electroweak phase transition in the presence of a constant hypermagnetic field. We compute the finite temperature effective potential up to the contribution of ring diagrams in the weak field, high temperature limit and show that under these conditions, the phase transition becomes stronger first order.},
doi = {10.1103/PHYSREVD.75.043004},
journal = {Physical Review. D, Particles Fields},
number = 4,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}
  • We study symmetry restoration at finite temperature in the theory of a charged scalar field interacting with a constant, external magnetic field. We compute the finite-temperature effective potential including the contribution from ring diagrams. We show that in the weak field case, the presence of the field produces a stronger first order phase transition and that the temperature for the onset of the transition is lower, as compared to the case without magnetic field.
  • There has been much recent interest in the nature of the electroweak phase transition. This information is of importance in the context of the sphaleron models that have recently been proposed to explain the observed net baryon number in the Universe. The presence of a term that is cubic in the Higgs condensate in the one-loop effective potential appears to indicate a first-order phase transition. However, the infrared singularities inherent in massless models produce cubic terms that are of the same order in the coupling. In this paper, we include these terms and show that the standard model has amore » first-order phase transition.« less
  • Within the minimal supersymmwtric standard model (MSSM) featuring an explicit CP violation, one-loop corrections to the parameters of the effective two-doublet potential are calculated at finite temperature for various scales of the mass parameters in the sector of soft supersymmetry breaking. It is shown that the splitting of scalar-quark masses has a strong effect on the effective parameters of the potential and that, in the limiting case where all mass parameters of the squark sector are degenerate and where the temperature is zero, the potential parameters reduce to the results obtained previously.
  • The finite-temperature effective potential in scalar quantum field theory in n-dimensional space-time is calculated using different expansions of a path-integral representation for the partition function. First-order results in an optimized and mean-field expansion are compared with a conventional one-loop result. In one dimension the comparison with the finite-temperature effective potential calculated numerically shows that only the mean-field method gives qualitative agreement in the entire range of Lagrangian parameters. In four dimensions the mean-field method seems also to be most reliable. The thermal properties of the renormalized theory indicate that a scalar theory is noninteracting.