Effective potential at finite temperature in a constant magnetic field I: Ring diagrams in a scalar theory

Abstract

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.

Expanded comments, 4 figures added. Conclusions unchanged. Version to match published paper

References in corpus (16)

• Magnetic Fields in the Early Universe
• The Magnetized Universe
• Primordial Hypermagnetic Fields and Triangle Anomaly
• Primordial Magnetic Fields
• The weak-field expansion for processes in a homogeneous background magnetic field
• The Electroweak Phase Transition in a Magnetic Field
• Primordial Hypermagnetic Knots
• Strongly first order electroweak phase transition induced by primordial hypermagnetic fields
• Field theory of the photon self-energy in a medium with a magnetic field and the Faraday effect
• Cosmological magnetic fields
• Fermion scattering off electroweak phase transition kink walls with hypermagnetic fields
• Development of the electroweak phase transition and baryogenesis
• Axially asymmetric fermion scattering off electroweak phase transition bubble walls with hypermagnetic fields
• Ring diagrams and electroweak phase transition in a magnetic field
• Axial charge segregation and CP violation during the electroweak phase transition with hypermagnetic fields
• Fermion Scattering off a CP-violating Bubble Wall in the Background of a Uniform Magnetic Field

Cited by in corpus (55)

• Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• Inverse magnetic catalysis in the linear sigma model with quarks
• D mesons in a magnetic field
• Chiral transition in a magnetic field and at finite baryon density
• Faraday rotation, stochastic magnetic fields and CMB maps
• Magnetic field-dependence of the neutral pion mass in the linear sigma model coupled to quarks: The weak field case
• Electromagnetic spectral function and dilepton rate in a hot magnetized QCD medium
• Pressure of a weakly magnetized hot and dense deconfined QCD matter in one-loop hard-thermal-loop perturbation theory
• Chiral transition with magnetic fields
• Optimized perturbation theory for charged scalar fields at finite temperature and in an external magnetic field
• Spectral properties of $\rho$ meson in a magnetic field
• Superstatistics and the effective QCD phase diagram
• Thermal chiral and deconfining transitions in the presence of a magnetic background
• Chiral phase transition in relativistic heavy-ion collisions with weak magnetic fields: ring diagrams in the linear sigma model
• Effect of external magnetic field on nucleon mass in hot and dense medium : Inverse Magnetic Catalysis in Walecka Model
• Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
• Thermal effects on $\rho$ meson properties in an external magnetic field
• Effective potential at finite temperature in a constant hypermagnetic field: Ring diagrams in the Standard Model
• Quark deconfinement and gluon condensate in a weak magnetic field
• Kubo estimation of the electrical conductivity for a hot relativistic fluid in the presence of a magnetic field
• Symmetry restoration at finite temperature with weak magnetic fields
• Magnetic catalysis of a charged Bose-Einstein condensate
• One-loop Kubo estimations of the shear and bulk viscous coefficients for hot and magnetized Bosonic and Fermionic systems
• Gluon polarization tensor and dispersion relation in a weakly magnetized medium
• General structure of the neutral $\rho$ meson self-energy and its spectral properties in a hot and dense magnetized medium
• Magnetic Field Effect on Charged Scalar Pair Creation at Finite Temperature
• Warm inflation in the presence of magnetic fields
• Lifetime and mass of rho meson in correlation with magnetic-dimensional reduction
• Magnetic Corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model
• A new perspective for the magnetic corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• Topological Defects from First Order Gauge Theory Phase Transitions
• Catalysis and inverse electric catalysis in a scalar theory
• Thermomagnetic renormalons in a scalar self-interacting $\lambda {\varphi }^4$ theory
• Magnetic renormalons in a scalar self interacting $\lambda {\varphi }^4$ theory
• Phase diagram for charged scalars in a magnetic field at finite temperature
• Effect of the magnetized medium on the decay of neutral scalar bosons
• Thermo-magnetic corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• Charged massive vector boson propagator in a constant magnetic field in arbitrary $\xi$-gauge obtained using the modified Fock-Schwinger method
• Critical end point in a thermo-magnetic nonlocal NJL model
• Feynman parametrization and Mellin summation at finite temperature
• Propagators of charged particles in an external magnetic field, expanded over Landau levels
• Gravitational collapse of a magnetized fermion gas with finite temperature
• Toward a magnetic warm inflation scenario
• Anisotropic gravitational waves induced by hypermagnetic fields during the electroweak phase transition epoch
• Strongly interacting matter in extreme magnetic fields
• Scattering cross-section under external magnetic field using the optical theorem
• The Yukawa potential under weak magnetic field
• Charged scalars at finite electric field and temperature in the optimized perturbation theory
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• Finite size effects in the phase transition patterns of coupled scalar field systems
• Quantum field theoretical structure of electrical conductivity of cold and dense fermionic matter in the presence of a magnetic field
• Symmetry breaking patterns for two coupled complex scalar fields at finite temperature and in an external magnetic field
• Exact solution for charged-particle propagation during a first-order electroweak phase transition with hypermagnetic fields