Catalysis and inverse electric catalysis in a scalar theory

Abstract

In this article we explore the phase diagram associated to the symmetry breaking of a scalar self interacting theory, induced by temperature and the presence of an external electric field. For such purpose, first we obtain the boson propagator, in the presence of a constant external electric field, both in the weak and strong field strength limits. Novel expansions are derived for the effective potential, valid for the whole range of temperature. We found inverse electric catalysis for the weak field region, i.e. a situation where the critical temperature diminishes as function of the strength of the electric field whereas for a strong field electric catalysis emerges. These behaviors, in the weak and strong intensity sectors, are valid for all possible values of temperature.

arXiv commentTypos has been corrected and new references added. A new appendix has been introduced. Accepted for publication in Phys. Rev. D

References in corpus (42)

• From hadrons to quarks in neutron stars: a review
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• The chiral condensate in a constant electromagnetic field
• Inverse magnetic catalysis in the linear sigma model with quarks
• ${\pi }_0$ pole mass calculation in a strong magnetic field and lattice constraints
• The weak-field expansion for processes in a homogeneous background magnetic field
• The melting of charmonium in a magnetic field from an effective AdS/QCD model
• Weak decay constant of neutral pions in a hot and magnetized quark matter
• Quarkonium dissociation in quark-gluon plasma via ionization in magnetic field
• Estimation of electric conductivity of the quark gluon plasma via asymmetric heavy-ion collisions
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• Electric Fields and Chiral Magnetic Effect in Cu + Au Collisions
• D mesons in a magnetic field
• The magnetized effective QCD phase diagram
• Effective potential at finite temperature in a constant magnetic field I: Ring diagrams in a scalar theory
• QCD sum rules for magnetically induced mixing between ${\eta }_c$ and $J/\psi$
• Properties of magnetized neutral mesons within a full RPA evaluation
• Modification of the B Meson Mass in a Magnetic Field from QCD Sum Rules
• Charge-dependent directed flow in asymmetric nuclear collisions
• Magnetic field-dependence of the neutral pion mass in the linear sigma model coupled to quarks: The weak field case
• Heavy meson spectroscopy under strong magnetic field
• Quark Matter in a Parallel Electric and Magnetic Field Background: Chiral Phase Transition and Equilibration of Chiral Density
• Influence of the inverse magnetic catalysis and the vector interaction in the location of the critical end point
• Pion decay constants in a strong magnetic field
• Weak decay of magnetized pions
• 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
• Spectral properties of $\rho$ meson in a magnetic field
• Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
• Master formulas for the dressed scalar propagator in a constant field
• Inverse magnetic catalysis and confinement within a contact interaction model for quarks
• Deconfinement and chiral phase transitions in quark matter with a strong electric field
• Magnetic corrections to the boson self-coupling and boson-fermion coupling in the linear sigma model with quarks
• Rho meson decay in presence of magnetic field
• Gluon polarization tensor and dispersion relation in a weakly magnetized medium
• Fluctuating temperature and baryon chemical potential in heavy-ion collisions and the position of the critical end point in the effective QCD phase diagram
• In medium properties of $K^0$ and $\varphi$ mesons under an external magnetic field
• On the critical end point in a two-flavor linear sigma model coupled to quarks
• Magnetic field dependence of nucleon parameters from QCD sum rules
• Schwinger mechanism in the SU(3) Nambu--Jona-Lasinio model with an electric field
• Thermomagnetic renormalons in a scalar self-interacting $\lambda {\varphi }^4$ theory

Cited by in corpus (5)

• Renormalons in a scalar self interacting theory: thermal, thermomagnetic and thermoelectric corrections for all values of temperature
• Quark matter under strong electric fields in the Linear Sigma Model coupled with quarks
• Charged scalars at finite electric field and temperature in the optimized perturbation theory
• Boundary conditions and electromagnetic effects on the phase transition of a zero spin bosonic system
• On electric fields in hot QCD: infrared regularization dependence