Chiral transition with magnetic fields

Abstract

We study the nature of the chiral transition for an effective theory with spontaneous breaking of symmetry, where charged bosons and fermions are subject to the effects of a constant external magnetic field. The problem is studied in terms of the relative intensity of the magnetic field with respect to the mass and the temperature. When the former is the smallest of the scales, we present a suitable method to obtain magnetic and thermal corrections up to ring order at high temperature. By these means, we solve the problem of the instability in the boson sector for these theories, where the squared masses, taken as functions of the order parameter, can vanish and even become negative. The solution is found by considering the screening properties of the plasma, encoded in the resummation of the ring diagrams at high temperature. We also study the case where the magnetic field is the intermediate of the three scales and explore the nature of the chiral transition as we vary the field strength, the coupling constants and the number of fermions. We show that the critical temperature for the restoration of chiral symmetry monotonically increases from small to intermediate values of the magnetic fields and that this temperature is always above the critical temperature for the case when the magnetic field is absent.

13 pages, 6 figures, added comments. Version to appear in Phys. Rev D

References in corpus (14)

• Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
• Inverse magnetic catalysis in dense holographic matter
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Chiral transition in a strong magnetic background
• Chiral Properties of Strong Interactions in a Magnetic Background
• Quark-hadron phase transition in a magnetic field
• External Fields and Chiral Symmetry Breaking in the Sakai-Sugimoto Model
• The chiral transition in a magnetic background: Finite density effects and the functional renormalization group
• Can a strong magnetic background modify the nature of the chiral transition in QCD?
• Effective potential at finite temperature in a constant hypermagnetic field: Ring diagrams in the Standard Model
• Dynamical mass generation in strongly coupled Quantum Electrodynamics with weak magnetic fields
• Symmetry restoration at finite temperature with weak magnetic fields
• Magnetic catalysis of a charged Bose-Einstein condensate

Cited by in corpus (3)

• 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
• Finite temperature quark-gluon vertex with a magnetic field in the Hard Thermal Loop approximation