Impact of Vector-Current Interactions on the QCD Phase Diagram
Affiliation(s)
Physik Department, Technische Universit?t München, Garching, Germany; ECT*, Strada delle Tabarelle 286, Villazzano, Trento, Italy . RIKEN/BNL Research Center, Brookhaven National Laboratory, Upton, USA.
Physik Department, Technische Universit?t München, Garching, Germany; ECT*, Strada delle Tabarelle 286, Villazzano, Trento, Italy . RIKEN/BNL Research Center, Brookhaven National Laboratory, Upton, USA.
ABSTRACT
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.
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
[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