Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                

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

Angel Sanchez, Alejandro Ayala, and Gabriella Piccinelli
Phys. Rev. D 75, 043004 – Published 8 February 2007
PDFHTMLExport Citation
Abstract
Authors
Article Text
  • INTRODUCTION
  • CHARGED PARTICLE PROPAGATORS IN THE…
  • Standard model
  • SELF-ENERGIES
  • EFFECTIVE POTENTIAL
  • SYMMETRY BREAKING
  • DISCUSSION AND CONCLUSIONS
  • ACKNOWLEDGEMENTS
  • APPENDICES
    • References

    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.

    • Figure
    • Figure
    • Figure
    • Figure
    • Figure
    • Figure
    • Figure
    1 More
    • Received 29 November 2006

    DOI:https://doi.org/10.1103/PhysRevD.75.043004

    ©2007 American Physical Society

    Authors & Affiliations

    Angel Sanchez1, Alejandro Ayala1, and Gabriella Piccinelli2

    • 1Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, México Distrito Federal 04510, México.
    • 2Centro Tecnológico, FES Aragón, Universidad Nacional Autónoma de México, Avenida Rancho Seco S/N, Bosques de Aragón, Nezahualcóyotl, Estado de México 57130, México.

    Article Text (Subscription Required)

    Click to Expand

    References (Subscription Required)

    Click to Expand
    Issue

    Vol. 75, Iss. 4 — 15 February 2007

    Reuse & Permissions
    Access Options
    Author publication services for translation and copyediting assistance advertisement

    Authorization Required

    Log In
    Other Options
    ×

    Images

    • Figure 1
      Figure 1
      Self-energy Feynman diagrams for the Higgs bosons that contain loop particles affected by the hypermagnetic field. These particles are represented by thick lines. Φ and Ψ represent Higgs and Fermion fields whereas Aμa and Bμ represent the U(1)Y and SU(2)L gauge fields, respectively.Reuse & Permissions
    • Figure 2
      Figure 2
      Self-energy Feynman diagrams for the Higgs bosons that contain loop particles not affected by the hypermagnetic field. These particles are represented by thin lines. c represents the ghost fields. Working in the Landau gauge ξ=0, the second diagram vanishes.Reuse & Permissions
    • Figure 3
      Figure 3
      Self-energy Feynman diagrams for the gauge bosons that contain loop particles affected by the hypermagnetic field. These particles are represented by thick lines. Φ and Ψ represent Higgs and Fermion fields whereas Aμa and Bμ represent the U(1)Y and SU(2)L gauge fields, respectively.Reuse & Permissions
    • Figure 4
      Figure 4
      Self-energy Feynman diagrams for the gauge bosons that contain loop particles not affected by the hypermagnetic field. These particles are represented by thin lines. c represents the ghost fields.Reuse & Permissions
    • Figure 5
      Figure 5
      Schematic representation of ring diagrams, that consist in the resummation of successive insertions of self-energies in vacuum bubbles.Reuse & Permissions
    • Figure 6
      Figure 6
      Veff as a function of v for different temperatures and H=0. At high temperature (T1) the symmetry is restored. Decreasing the temperature (T2) causes Veff to develop a secondary minimum that becomes degenerate with the original one for a critical temperature Tc0<T1<T2, where v=v0. Lowering further the temperature below Tc0 produces the system to spinodaly decompose. For the analysis we use g′=0.344 and g=0.637, mZ=91  GeV, mW=80  GeV, f=1, λ=0.11.Reuse & Permissions
    • Figure 7
      Figure 7
      Veff as a function of v for constant T and different values H=h(100  GeV)2 where h1=0, h2=0.03 and h3=0.06. The choosen temperature T is the critical temperature for h1=0. For higher field strengths, the phase transition is delayed, favoring higher values of ⟨v⟩/Tc. For the analysis we use g′=0.344 and g=0.637, mZ=91  GeV, mW=80  GeV, f=1, λ=0.11.Reuse & Permissions
    • Figure 8
      Figure 8
      Veff as a function of v for different hypermagnetic field strengths h3>h2>h1 at their corresponding critical temperatures Tc(h3)<Tc(h2)<Tc(h1), where H=h(100  GeV)2. We note that increasing the intensity of the field, the barrier between minima becomes higher and that the ratio ⟨v⟩/T becomes larger. For the analysis we use g′=0.344 and g=0.637, mZ=91  GeV, mW=80  GeV, f=1, λ=0.11.Reuse & Permissions
    ×

    Sign up to receive regular email alerts from Physical Review D

    Log In

    Cancel
    ×

    Search

    Article Lookup

    Paste a citation or DOI
    Enter a citation
    ×