Inverse magnetic catalysis in the soft-wall model of AdS/QCD. (English) Zbl 1377.81235
Summary: Magnetic effects on chiral phase transition have been investigated in a modified soft-wall AdS/QCD model, in which the dilaton field is taken to be negative at the ultraviolet region and positive at the infrared region as in [K. Chelabi et al., “Realization of chiral symmetry breaking and restoration in holographic QCD,”, Phys. Rev. D 93, 101901 (2016; doi:10.1103/PhysRevD.93.101901) and K. Chelabi et al., “Chiral phase transition in the soft-wall model of AdS/QCD”, J. High Energy Phys. 2016, 04, Paper No. 036, 30 p., (2016; doi:10.1007/JHEP04(2016)036). The magnetic field is introduced into the background geometry by solving the Einstein-Maxwell system. After embedding the magnetized background geometry into the modified soft-wall model, the magnetic field dependent behavior of chiral condensate is worked out numerically. It is found that, in the chiral limit, the chiral phase transition remains as a second order at finite magnetic field \(B\), while the symmetry restoration temperature and chiral condensate decrease with the increasing of magnetic field in small \(B\) region. When including finite quark mass effect, the phase transition turns to be a crossover one, and the transition temperature still decreases with increasing magnetic field \(B\) when \(B\) is not very large. In this sense, inverse magnetic catalysis effect is observed in this modified soft-wall AdS/QCD model.
MSC:
| 81V05 | Strong interaction, including quantum chromodynamics |
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
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