Abstract
It is analyzed the effects of a hot and magnetized medium on the axion mass, self-coupling and topological susceptibility when in presence of an anisotropic external magnetic field along the $z$-direction, within the Nambu--Jona-Lasinio effective model for quantum chromodynamics. The effects of both Magnetic Catalysis and Inverse Magnetic Catalysis are explicitly taken into account through appropriate matching of parameters with those from lattice Monte-Carlo numerical simulations. It is also analyzed the dependence of the results with respect to different model parametrizations in the context of the Nambu--Jona-Lasinio model.
Highlights
The axion is a pseudo Nambu-Goldstone boson of a spontaneously broken global Abelian symmetry [1]
We would like to convey that in the present work we have studied, for the first time as far as it is to our knowledge, the thermodynamics of quantum chromodynamics (QCD) axions within the NJL model in a hot and magnetized medium by explicitly emphasizing the effects of two of the most appealing phenomena in this context, i.e., the magnetic catalysis and the inverse magnetic catalysis effects
We have investigated the effect of the temperature and the external magnetic field explicitly on the measure of the spontaneous charge and parity (CP) violation, thereby showing the magnetic field dependence of the critical temperature for the spontaneous CP symmetry restoration
Summary
The axion is a pseudo Nambu-Goldstone boson of a spontaneously broken global Abelian symmetry [1]. Since the energy scales we are working with are much smaller than the axion symmetry breaking scale fa, we can consider the axion field to be in its (constant) vacuum expectation value, so it behaves like a CP violating term added to the QCD action In this sense, our derivations can be performed in a way similar to previous studies [24,25,26,27,28].
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