Using a nonlocal version of the Polyakov-loop-extended Nambu-Jona-Lasinio model, we investigate effects of a nonderivative vector-current interaction (relating to the quark-number density) at both real and imaginary chemical potentials. This repulsive vector interaction between quarks has the following impact on the chiral first-order phase transition: at imaginary chemical potential it sharpens the transition at the Roberge-Weiss (RW) end point and moves this critical point toward lower temperatures; at real chemical potential, the critical end point moves on a trajectory towards larger chemical potentials and lower temperatures with increasing vector coupling strength. The conditions are discussed at which the first-order phase transition disappears and turns into a smooth crossover.
Cite this paper
T. Hell, K. Kashiwa and W. Weise, "Impact of Vector-Current Interactions on the QCD Phase Diagram," Journal of Modern Physics, Vol. 4 No. 5, 2013, pp. 644-650. doi: 10.4236/jmp.2013.45093.
References
[1] P. de Forcrand, PoS (LAT2009), Vol. 010, 2009.
[2] K. Kashiwa, H. Kouno, T. Sakaguchi, M. Matsuzaki and M. Yahiro, Physics Letters B, Vol. 647, 2007, p. 446
[3] K. Kashiwa, M. Matsuzaki, H. Kouno, Y. Sakai and M. Yahiro, Physical Review D, Vol. 79, 2009, Article ID: 076008. doi:10.1103/PhysRevD.79.076008
[4] P. de Forcrand and O. Philipsen, Nuclear Physics B, Vol. 642, 2002, p. 290.
[5] M. D’Elia and M.-P. Lombardo, Physical Review D, Vol. 67, 2003, Article ID: 014505.
[6] H. S. Chen and X. Q. Luo, Physical Review D, Vol. 72, 2005, Article ID: 034504.
doi:10.1103/PhysRevD.72.034504
[7] K. L. Wu, X. Q. Luo and H. S. Chen, Physical Review D, Vol. 76, 2005, Article ID: 034505.
doi:10.1103/PhysRevD.76.034505
[8] K. Kashiwa, T. Hell and W. Weise, Physical Review D, Vol. 84, 2011, Article ID: 056010.
doi:10.1103/PhysRevD.84.056010
[9] A. Roberge and N. Weiss, Nuclear Physics B, Vol. 275, 1986, p. 734. doi:10.1016/0550-3213(86)90582-1
[10] Y. Sakai, K. Kashiwa, H. Kouno and M. Yahiro, Physical Review D, Vol. 77, 2008, Article ID: 051901.
doi:10.1103/PhysRevD.77.051901
[11] E. Bilgici, F. Bruckmann, C. Gattringer and C. Hagen, Physical Review D, Vol. 77, 2005, Article ID: 094007.
doi:10.1103/PhysRevD.77.094007
[12] K. Kashiwa, T. Sasaki, H. Kouno and M. Yahiro, 2012.
arXiv:1208.2283
[13] H. Kouno, Y. Sakai, K. Kashiwa and M. Yahiro, Journal of Physics G, Vol. 36, 2009, p. 1150.
doi:10.1088/0954-3899/36/11/115010
[14] T. Hell, S. Roessner and W. Weise, Physical Review D, Vol. 79, 2009, Article ID: 014022.
doi:10.1103/PhysRevD.79.014022
[15] T. Hell, K. Kashiwa and W. Weise, Physical Review D, Vol. 83, 2011, Article ID: 114008.
doi:10.1103/PhysRevD.83.114008
[16] T. Hell, S. Roessner, M. Cristoforetti and W. Weise, Physical Review D, Vol. 81, 2010, Article ID: 074034.
doi:10.1103/PhysRevD.81.074034
[17] G. A. Contrera, M. Orsaria and N. N. Scoccola, Physical Review D, Vol. 82, 2010, Article ID: 054026.
doi:10.1103/PhysRevD.82.054026
[18] V. Pagura, D. Gomez Dumm and N. N. Scoccola, 2011.
arXiv:1105.1739
[19] S. Noguera and N. N. Scoccola, Physical Review D, Vol. 78, 2008, Article ID: 114002.
doi:10.1103/PhysRevD.78.114002
[20] C. Ratti, S. Roessner, M. Thaler and W. Weise, European Physical Journal, Vol. C49, 2007, p. 213.
doi:10.1140/epjc/s10052-006-0065-x
[21] K. Fukushima, Physics Letters B, Vol. 591, 2004, p. 277.
[22] C. Sasaki and K. Redlich, 2012. arXiv:1204.4330
[23] M. Ruggieri, P. Alba, P. Castorina, S. Plumari, C. Ratti and V. Greco, 2012. arXiv:1204.5995
[24] B.-J. Schaefer, J. M. Pawlowski and J. Wambach, Physical Review D, Vol. 76, 2007, Article ID: 074023.
doi:10.1103/PhysRevD.76.074023
[25] C. Bonati, G. Cossu, M. D’Elia and F. San_lippo, Physical Review D, Vol. 83, 2011, Article ID: 054505.
doi:10.1103/PhysRevD.83.054505
[26] C. Bonati, P. de Forcrand, G. Cossu, M. D’Elia, O. Philipsen and F. San_lippo, 2012. arXiv:1201.2769
[27] G. Contrera, A. Grunfeld and D. Blaschke, 2012.
arXiv:1207.4890
[28] N. M. Bratovic, T. Hatsuda and W. Weise, 2012.
arXiv:1204.3788