The QCD phase diagram for external magnetic fields

Nov, 2011
22 pages
Published in:
  • JHEP 02 (2012) 044
e-Print:

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Abstract: (arXiv)
The effect of an external (electro)magnetic field on the finite temperature transition of QCD is studied. We generate configurations at various values of the quantized magnetic flux with Nf=2+1N_f=2+1 flavors of stout smeared staggered quarks, with physical masses. Thermodynamic observables including the chiral condensate and susceptibility, and the strange quark number susceptibility are measured as functions of the field strength. We perform the renormalization of the studied observables and extrapolate the results to the continuum limit using Nt=6,8N_t=6,8 and 10 lattices. We also check for finite volume effects using various lattice volumes. We find from all of our observables that the transition temperature TcT_c significantly decreases with increasing magnetic field. This is in conflict with various model calculations that predict an increasing Tc(B)T_c(B). From a finite volume scaling analysis we find that the analytic crossover that is present at B=0 persists up to our largest magnetic fields eB1GeV2eB \approx 1 \textmd{GeV}^2, and that the transition strength increases mildly up to this eB1GeV2eB\approx1 \textmd{GeV}^2.
Note:
  • 22 pages, 13 figures
  • condensation: chiral
  • susceptibility: chiral
  • quark: mass
  • magnetic field: external field
  • fermion number: susceptibility
  • pi: mass
  • flux: magnetic
  • renormalization
  • symmetry: U(1)
  • continuum limit