The QCD phase diagram for external magnetic fields

Journal of High Energy Physics

Volumn 2012, Issue 2, 2012, Pages

  Bali, G S ^a   Bruckmann, F ^a   Endrodi G ^a   Fodor, Z ^b,c,d   Katz, S D ^c   Krieg, S ^b,d   Schafer A ^a   Szabo K K ^b  

^a UNIVERSITY OF REGENSBURG   (Germany)

^b UNIVERSITY OF WUPPERTAL   (Germany)

^c EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^d FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

Lattice QCD; Lattice quantum field theory

Indexed keywords

EID: 84857869679     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2012)044     Document Type: Article

References (60)

1. T. Vachaspati, Magnetic fields from cosmological phase transitions, Phys. Lett. B 265 (1991) 258
2. R.C. Duncan and C. Thompson, Formation of very strongly magnetized neutron stars - Implications for gamma-ray bursts, Astrophys. J. 392 (1992) L9
3. V. Skokov, A. Illarionov and V. Toneev, Estimate of the magnetic field strength in heavy-ion collisions, Int. J. Mod. Phys. A 24 (2009) 5925 [arXiv:0907.1396]
4. D.E. Kharzeev, L.D. McLerran and H.J. Warringa, The effects of topological charge change in heavy ion collisions: 'Event by event P and CP-violation', Nucl. Phys. A 803 (2008) 227 [arXiv:0711.0950]
5. K. Fukushima, D.E. Kharzeev and H.J. Warringa, The chiral magnetic effect, Phys. Rev. D 78 (2008) 074033 [arXiv:0808.3382]
6. D. Kharzeev, Parity violation in hot QCD: Why it can happen and how to look for it, Phys. Lett. B 633 (2006) 260 [hep-ph/0406125]
7. STAR collaboration, S.A. Voloshin, Probe for the strong parity violation effects at RHIC with three particle correlations, Indian J. Phys. 85 (2011) 1103 [arXiv:0806.0029]
8. STAR collaboration, B. Abelev et al., Azimuthal charged-particle correlations and possible local strong parity violation, Phys. Rev. Lett. 103 (2009) 251601 [arXiv:0909.1739]
9. ALICE collaboration, I. Selyuzhenkov, Anisotropic flow and other collective phenomena measured in Pb-Pb collisions with ALICE at the LHC, arXiv:1111.1875
10. F. Wang, Effects of cluster particle correlations on local parity violation observables, Phys. Rev. C 81 (2010) 064902 [arXiv:0911.1482]
11. B. Müller and A. Schäfer, Charge fluctuations from the chiral magnetic effect in nuclear collisions, Phys. Rev. C 82 (2010) 057902 [arXiv:1009.1053]
12. V. Voronyuk et al., (Electro-)Magnetic field evolution in relativistic heavy-ion collisions, Phys. Rev. C 83 (2011) 054911 [arXiv:1103.4239]
13. A.J. Mizher, M. Chernodub and E.S. Fraga, Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions, Phys. Rev. D 82 (2010) 105016 [arXiv:1004.2712]
14. E.S. Fraga and A.J. Mizher, Can a strong magnetic background modify the nature of the chiral transition in QCD?, Nucl. Phys. A 820 (2009) 103C-106C [arXiv:0810.3693]
15. R. Gatto and M. Ruggieri, Deconfinement and chiral symmetry restoration in a strong magnetic background, Phys. Rev. D 83 (2011) 034016 [arXiv:1012.1291]
16. R. Gatto and M. Ruggieri, Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field, Phys. Rev. D 82 (2010) 054027 [arXiv:1007.0790]
17. A. Osipov, B. Hiller, A. Blin and J. da Providencia, Dynamical chiral symmetry breaking by a magnetic field and multi-quark interactions, Phys. Lett. B 650 (2007) 262 [hep-ph/0701090]
18. K. Kashiwa, Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field, Phys. Rev. D 83 (2011) 117901 [arXiv:1104.5167]
19. C.V. Johnson and A. Kundu, External fields and chiral symmetry breaking in the Sakai-Sugimoto model, JHEP 12 (2008) 053 [arXiv:0803.0038]
20. S. Kanemura, H.-T. Sato and H. Tochimura, Thermodynamic Gross-Neveu model under constant electromagnetic field, Nucl. Phys. B 517 (1998) 567 [hep-ph/9707285]
21. K. Klimenko, Three-dimensional Gross-Neveu model at nonzero temperature and in an external magnetic field, Theor. Math. Phys. 90 (1992) 1
22. J. Alexandre, K. Farakos and G. Koutsoumbas, Magnetic catalysis in QED(3) at finite temperature: beyond the constant mass approximation, Phys. Rev. D 63 (2001) 065015 [hep-th/0010211]
23. N. Evans, T. Kalaydzhyan, K.-y. Kim and I. Kirsch, Non-equilibrium physics at a holographic chiral phase transition, JHEP 01 (2011) 050 [arXiv:1011.2519]
24. N. Agasian and S. Fedorov, Quark-hadron phase transition in a magnetic field, Phys. Lett. B 663 (2008) 445 [arXiv:0803.3156]
25. F. Preis, A. Rebhan and A. Schmitt, Inverse magnetic catalysis in dense holographic matter, JHEP 03 (2011) 033 [arXiv:1012.4785]
26. P. Cea and L. Cosmai, Color dynamics in external fields, JHEP 08 (2005) 079 [hep-lat/0505007]
27. P. Cea and L. Cosmai, Abelian chromomagnetic fields and confinement, JHEP 02 (2003) 031 [hep-lat/0204023]
28. P. Cea, L. Cosmai and M. D'Elia, QCD dynamics in a constant chromomagnetic field, JHEP 12 (2007) 097 [arXiv:0707.1149]
29. V. Gusynin, V. Miransky and I. Shovkovy, Dimensional reduction and catalysis of dynamical symmetry breaking by a magnetic field, Nucl. Phys. B 462 (1996) 249 [hep-ph/9509320]
30. S.-i. Nam and C.-W. Kao, Chiral restoration at finite T under the magnetic field with the meson-loop corrections, Phys. Rev. D 83 (2011) 096009 [arXiv:1103.6057]
31. J.K. Boomsma and D. Boer, The influence of strong magnetic fields and instantons on the phase structure of the two-flavor NJLS model, Phys. Rev. D 81 (2010) 074005 [arXiv:0911.2164]
32. I. Shushpanov and A.V. Smilga, Quark condensate in a magnetic field, Phys. Lett. B 402 (1997) 351 [hep-ph/9703201]
33. T.D. Cohen, D.A. McGady and E.S. Werbos, The chiral condensate in a constant electromagnetic field, Phys. Rev. C 76 (2007) 055201 [arXiv:0706.3208]
34. N.O. Agasian, Chiral thermodynamics in a magnetic field, Phys. Atom. Nucl. 64 (2001) 554 [hep-ph/0112341]
35. A. Zayakin, QCD vacuum properties in a magnetic field from AdS/CFT: chiral condensate and Goldstone mass, JHEP 07 (2008) 116 [arXiv:0807.2917]
36. V. Miransky and I. Shovkovy, Magnetic catalysis and anisotropic confinement in QCD, Phys. Rev. D 66 (2002) 045006 [hep-ph/0205348]
37. M. D'Elia, S. Mukherjee and F. Sanfilippo, QCD phase transition in a strong magnetic background, Phys. Rev. D 82 (2010) 051501 [arXiv:1005.5365]
38. G. 't Hooft, A property of electric and magnetic flux in nonabelian gauge theories, Nucl. Phys. B 153 (1979) 141
39. M. Al-Hashimi and U.-J. Wiese, Discrete accidental symmetry for a particle in a constant magnetic field on a torus, Annals Phys. 324 (2009) 343 [arXiv:0807.0630]
40. G. Martinelli, G. Parisi, R. Petronzio and F. Rapuano, The proton and neutron magnetic moments in lattice QCD, Phys. Lett. B 116 (1982) 434
41. C.W. Bernard, T. Draper, K. Olynyk and M. Rushton, Lattice QCD calculation of some baryon magnetic moments, Phys. Rev. Lett. 49 (1982) 1076
42. L. Zhou, F. Lee, W. Wilcox and J.C. Christensen, Magnetic polarizability of hadrons from lattice QCD, Nucl. Phys. Proc. Suppl. 119 (2003) 272 [hep-lat/0209128]
43. D.S. Roberts, P.O. Bowman, W. Kamleh and D.B. Leinweber, Wave functions of the proton ground state in the presence of a uniform background magnetic field in lattice QCD, Phys. Rev. D 83 (2011) 094504 [arXiv:1011.1975]
44. M. D'Elia and F. Negro, Chiral properties of strong interactions in a magnetic background, Phys. Rev. D 83 (2011) 114028 [arXiv:1103.2080]
45. F. Bruckmann and G. Endrödi, Dressed Wilson loops as dual condensates in response to magnetic and electric fields, Phys. Rev. D 84 (2011) 074506 [arXiv:1104.5664]
46. S. Dürr, Theoretical issues with staggered fermion simulations, PoS(LAT2005)021 [hep-lat/0509026]
47. H. Leutwyler and A.V. Smilga, Spectrum of Dirac operator and role of winding number in QCD, Phys. Rev. D 46 (1992) 5607
48. G. Endrödi, Z. Fodor, S. Katz and K. Szabó, The QCD phase diagram at nonzero quark density, JHEP 04 (2011) 001 [arXiv:1102.1356]
49. A. Salam and J. Strathdee, Transition electromagnetic fields in particle physics, Nucl. Phys. B 90 (1975) 203.
50. M.E. Peskin and D.V. Schroeder, An introduction to quantum field theory, Addison Wesley, Reading U.S.A. (1995).
51. Y. Aoki et al., The QCD transition temperature: results with physical masses in the continuum limit II, JHEP 06 (2009) 088 [arXiv:0903.4155]
52. M. Chernodub, Superconductivity of QCD vacuum in strong magnetic field, Phys. Rev. D 82 (2010) 085011 [arXiv:1008.1055]
53. Y. Aoki, Z. Fodor, S. Katz and K. Szabó, The equation of state in lattice QCD: with physical quark masses towards the continuum limit, JHEP 01 (2006) 089 [hep-lat/0510084]
54. S. Borsányi et al., The QCD equation of state with dynamical quarks, JHEP 11 (2010) 077 [arXiv:1007.2580]
55. N. Ishizuka, M. Fukugita, H. Mino, M. Okawa and A. Ukawa, Operator dependence of hadron masses for Kogut-Susskind quarks on the lattice, Nucl. Phys. B 411 (1994) 875
56. G. Endrödi, Multidimensional spline integration of scattered data, Comput. Phys. Commun. 182 (2011) 1307 [arXiv:1010.2952]
57. F. Karsch, E. Laermann and A. Peikert, Quark mass and flavor dependence of the QCD phase transition, Nucl. Phys. B 605 (2001) 579 [hep-lat/0012023]
58. Y. Aoki, G. Endrödi, Z. Fodor, S. Katz and K. Szabó, The order of the quantum chromodynamics transition predicted by the standard model of particle physics, Nature 443 (2006) 675 [hep-lat/0611014]
59. Y. Aoki, Z. Fodor, S. Katz and K. Szabó, The QCD transition temperature: results with physical masses in the continuum limit, Phys. Lett. B 643 (2006) 46 [hep-lat/0609068]
60. c mystery in lattice QCD? Results with physical masses in the continuum limit III, JHEP 09 (2010) 073 [arXiv:1005.3508]