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.

15 pages, 8 Postscript figures

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• Magnetic field-dependence of the neutral pion mass in the linear sigma model coupled to quarks: The weak field case
• Dynamical mass generation in QED with magnetic fields: arbitrary field strength and coupling constant
• Chiral transition with magnetic fields
• QCD phase diagram in a magnetized medium from the chiral symmetry perspective: The linear sigma model with quarks and the Nambu--Jona-Lasinio model effective descriptions
• Chiral phase transition in relativistic heavy-ion collisions with weak magnetic fields: ring diagrams in the linear sigma model
• Symmetry restoration at finite temperature with weak magnetic fields
• Improved ring potential of QED at finite temperature and in the presence of weak and strong magnetic field
• On the Contributions to the ${\mathbf{U}}_{\mathbf{Y}}(1)$ Chern-Simons Term and the Evolution of Fermionic Asymmetries and Hypermagnetic Fields
• Impact of a uniform magnetic field and nonzero temperature on explicit chiral symmetry breaking in QED: Arbitrary hierarchy of energy scales
• $\bar{\psi }\psi$-condensate in constant magnetic fields
• Warm inflation in the presence of magnetic fields
• Electroweak Baryogenesis in a Scalar-Assisted Vector-Like Fermion Model
• Phase diagram for charged scalars in a magnetic field at finite temperature
• Magnetic fields, strings and cosmology
• Response to an External Magnetic Field of the Decay Rate of a Neutral Scalar Field into a Charged Fermion Pair
• Feynman parametrization and Mellin summation at finite temperature
• Charge asymmetry from CP-violating fermion scattering off bubble walls during the electroweak phase transition
• Chiral MHD description of a perfect magnetized QGP using the effective NJL model in a strong magnetic field
• Toward a magnetic warm inflation scenario
• A non-perturbative study of the evolution of cosmic magnetised sources
• Anisotropic gravitational waves induced by hypermagnetic fields during the electroweak phase transition epoch
• Effective Electromagnetic Lagrangian at Finite Temperature and Density in the Electroweak Model