CP violation and chiral symmetry restoration in the hot linear sigma model in a strong magnetic background

Abstract

We study the effects of CP violation on the nature of the chiral transition within the linear sigma model with two flavors of quarks. The finite-temperature effective potential containing contributions from nontrivial values for the parameter $\theta$ is computed to one loop order and their minima structure is analyzed. Motivated by the possibility of observing the formation of CP-odd domains in high-energy heavy ion collisions, we also investigate the behavior of the effective potential in the presence of a strong magnetic background. We find that the nature of the chiral transition is influenced by both $\theta$ and the magnetic field.

8 pages, 9 figures

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Cited by in corpus (28)

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• Inverse magnetic catalysis induced by sphalerons
• Chiral density waves in quark matter within the Nambu--Jona-Lasinio model in an external magnetic field
• Magnetic Catalysis: A Review
• Electric-current Susceptibility and the Chiral Magnetic Effect
• Spontaneous generation of local CP violation and inverse magnetic catalysis
• QCD matter in extreme environments
• QCD-Collapsed Domain Walls: QCD Phase Transition and Gravitational Wave Spectroscopy
• Wess-Zumino-Witten action and photons from the Chiral Magnetic Effect
• Phase diagram of Yang-Mills theories in the presence of a theta term
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Chiral transition with magnetic fields
• The Linear Sigma Model and the formation of a charged pion condensate in the presence of an external magnetic field
• Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu--Jona-Lasino model
• Thermal chiral and deconfining transitions in the presence of a magnetic background
• Cooper pairing and finite-size effects in a NJL-type four-fermion model
• Theta vacuum effects on QCD phase diagram
• Quantum chromodynamics axion in a hot and magnetized medium
• Magnetic catalysis of a charged Bose-Einstein condensate
• CP violation and chiral symmetry breaking in hot and dense quark matter in presence of magnetic field
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• Magnetized strangelets at finite temperature
• Strong CP violation and chiral symmetry breaking in hot and dense quark matter
• Phase diagram for charged scalars in a magnetic field at finite temperature
• An Effective Field Theory Model for One-Dimensional $\mathrm{CH}$ Chains: Effects at Finite Chemical Potential, Temperature and External Zeeman Magnetic Field
• First-order CP phase transition in two-flavor QCD at $\theta =\pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description
• Spontaneous CP violation in the NJL model at theta = pi