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@ARTICLE{Bali:20515,
      author       = {Bali, G.S. and Bruckmann, F. and Endrödi, G. and Fodor, Z.
                      and Katz, S.D. and Krieg, S. and Schäfer, A. and Szabó,
                      K.K.},
      title        = {{T}he {QCD} phase diagram for external magnetic fields},
      journal      = {Journal of high energy physics},
      issn         = {1126-6708},
      address      = {Berlin},
      publisher    = {Springer},
      reportid     = {PreJuSER-20515},
      pages        = {44},
      year         = {2012},
      note         = {This work has been supported by DFG grants SFB-TR 55, FO
                      502/1-2 and BR 2872/4-2, the EU grants (FP7/2007-2013)/ERC
                      no 208740 and PITN-GA-2009-238353 (ITN STRONGnet).
                      Computations were carried out on the GPU cluster at the
                      Eotvos University in Budapest and on the Bluegene/P at FZ
                      Julich. We thank Ferenc Niedermayer for useful discussions,
                      interesting ideas and for careful reading of the manuscript.
                      G. E. would like to thank Massimo D'Elia, Swagato Mukherjee,
                      Daniel Nogradi, Tamas Kovacs and Igor Shovkovy for useful
                      discussions.},
      abstract     = {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 N-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 N-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 T c significantly decreases
                      with increasing magnetic field. This is in conflict with
                      various model calculations that predict an increasing
                      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 e B approximate to 1 GeV2,
                      and that the transition strength increases mildly up to this
                      e B approximate to 1 GeV2.},
      keywords     = {J (WoSType)},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {Scientific Computing (FUEK411) / 411 - Computational
                      Science and Mathematical Methods (POF2-411) / QCDTHERMO -
                      QCD thermodynamics on the lattice (208740) / STRONGNET -
                      Strong Interaction Supercomputing Training Network (238353)},
      pid          = {G:(DE-Juel1)FUEK411 / G:(DE-HGF)POF2-411 /
                      G:(EU-Grant)208740 / G:(EU-Grant)238353},
      shelfmark    = {Physics, Particles $\&$ Fields},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000301451200044},
      doi          = {10.1007/JHEP02(2012)044},
      url          = {https://juser.fz-juelich.de/record/20515},
}