Thermo-magnetic evolution of the QCD strong coupling

Abstract

We study the one-loop gluon polarization tensor at zero and finite temperature in the presence of a magnetic field, to extract the thermo-magnetic evolution of the strong coupling ${\alpha }_s$. We analyze four distinct regimes, to wit, the small and large field cases, both at zero and at high temperature. From a renormalization group analysis we show that at zero temperature, either for small or large magnetic fields, and for a fixed transferred momentum $Q^2$, ${\alpha }_s$ grows with the field strength with respect to its vacuum value. However, at high temperature and also for a fixed value of $Q^2$ we find two different cases: When the magnetic field is even larger than the squared temperature, ${\alpha }_s$ also grows with the field strength. On the contrary, when the squared temperature is larger than the magnetic field, a turnover behavior occurs and ${\alpha }_s$ decreases with the field strength. This thermo-magnetic behavior of ${\alpha }_s$ can help explain the inverse magnetic catalysis phenomenon found by lattice QCD calculations.

5 pages, 1 figure, typo in eq.(13) fixed, conclusions unchanged

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• Regularizing thermo and magnetic contributions within nonrenormalizable theories
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• Thermomagnetic properties and Bjorken expansion of hot QCD matter in a strong magnetic field
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• Heavy quark dynamics in a strongly magnetized quark-gluon plasma
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• Chaotic dynamics of a suspended string in a gravitational background with magnetic field
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• Heavy quarkonia in QGP medium in an arbitrary magnetic field
• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
• Critical behaviour of an effective relativistic mean field model in the presence of magnetic background and boundaries
• Inverse magnetic catalysis and size-dependent effects on the chiral symmetry restoration
• Thermoelectric Thomson coefficient of quark-gluon plasma in the presence of a time-varying magnetic field
• Strongly interacting matter in extreme magnetic fields
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• Nonperturbative heavy quark diffusion coefficients in a weakly magnetized thermal QCD medium
• Thermoelectric response of a hot and weakly magnetized anisotropic QCD medium
• Momentum transport of chiral modes in a thermal QCD medium
• Thermodynamics of strongly magnetized dense quark matter from hard dense loop perturbation theory
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• Viscous effects of a hot QGP medium in time dependent magnetic field and their phenomenological significance
• Fundamental Landau Levels in a Strongly Coupled Plasma