Chiral asymmetry and axial anomaly in magnetized relativistic matter

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 695, Issue 1-4, 2011, Pages 354-358

  Gorbar, E V ^a   Miransky, V A ^b   Shovkovy, I A ^c  

^a BOGOLYUBOV INSTITUTE FOR THEORETICAL PHYSICS   (Ukraine)

^b UNIVERSITY OF WESTERN ONTARIO   (Canada)

^c ARIZONA STATE UNIVERSITY   (United States)

Author keywords

Axial anomaly; Axial current; Chiral asymmetry; Dense relativistic matter; Magnetic field

Indexed keywords

EID: 78650310198     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physletb.2010.11.022     Document Type: Article

References (43)

1. Woods P.M., Thompson C. Soft gamma repeaters and anomalous X-ray pulsars: Magnetar candidates. Compact Stellar X-ray Sources 2006, 547-586. Cambridge University Press, Cambridge. arxiv:astro-ph/0406133, W.H.G. Lewin, M. van der Klis (Eds.).
2. Mereghetti S. Astron. Astrophys. Rev. 2008, 15:225.
3. Skokov V.V., Illarionov A.Yu., Toneev V.D. Int. J. Mod. Phys. A 2009, 24:5925.
4. Kharzeev D., Zhitnitsky A. Nucl. Phys. A 2007, 797:67.
5. Kharzeev D.E., McLerran L.D., Warringa H.J. Nucl. Phys. A 2008, 803:227.
6. Fukushima K., Kharzeev D.E., Warringa H.J. Phys. Rev. D 2008, 78:074033.
7. Nam Seung-il Phys. Rev. D 2010, 82:045017.
8. Ebert D., Klimenko K.G., Vdovichenko M.A., Vshivtsev A.S. Phys. Rev. D 1999, 61:025005.
9. Ferrer E.J., de la Incera V., Manuel C. Phys. Rev. Lett. 2005, 95:152002.
10. Ferrer E.J., de la Incera V. Phys. Rev. D 2007, 76:045011.
11. Ferrer E.J., de la Incera V. Phys. Rev. Lett. 2008, 100:032007.
12. Noronha J.L., Shovkovy I.A. Phys. Rev. D 2007, 76:105030.
13. Son D.T., Stephanov M.A. Phys. Rev. D 2008, 77:014021.
14. Metlitski M.A., Zhitnitsky A.R. Phys. Rev. D 2005, 72:045011.
15. Gorbar E.V., Miransky V.A., Shovkovy I.A. Phys. Rev. C 2009, 80:032801(R).
16. Rebhan A., Schmitt A., Stricker S.A. JHEP 2010, 1001:026.
17. Fukushima K., Ruggieri M. Phys. Rev. D 2010, 82:054001.
18. Basar G., Dunne G.V., Kharzeev D.E. Phys. Rev. Lett. 2010, 104:232301.
19. Kim K.Y., Sahoo B., Yee H.U. JHEP 2010, 1010:005.
20. Frolov I.E., Klimenko K.G., Zhukovsky V.C. Phys. Rev. D 2010, 82:076002.
21. Rubakov V.A. arxiv:1005.1888.
22. Adler S.L. Phys. Rev. 1969, 177:2426.
23. Bell J.S., Jackiw R. Nuovo Cimento A 1969, 60:47.
24. Ambjorn J., Greensite J., Peterson C. Nucl. Phys. B 1983, 221:381. The fact that in a magnetic field the axial anomaly is generated only in the LLL was shown in:.
25. Sadooghi N., Salim A. Jafari Phys. Rev. D 2006, 74:085032.
26. Gusynin V.P., Miransky V.A., Shovkovy I.A. Phys. Rev. Lett. 1994, 73:3499.
27. Gusynin V.P., Miransky V.A., Shovkovy I.A. Phys. Lett. B 1995, 349:477.
28. Gusynin V.P., Miransky V.A., Shovkovy I.A. Nucl. Phys. B 1996, 462:249.
29. Cornwall J.M., Jackiw R., Tomboulis E. Phys. Rev. D 1974, 10:2428.
30. Kapusta J.I. Phys. Rev. D 1981, 24:426.
31. Gusynin V.P., Miransky V.A., Shovkovy I.A. Phys. Lett. B 2004, 581:82.
32. Peskin M.E., Schroeder D.V. An Introduction to Quantum Field Theory 1995, Westview Press, p. 659.
33. Ioffe B.L. Int. J. Mod. Phys. A 2006, 21:6249. Recall that unlike the ordinary point-splitting regularization, a Wilson line is inserted between the splitting points in the gauge invariant one.
34. Son D.T., Zhitnitsky A.R. Phys. Rev. D 2004, 70:074018.
35. Gavai R.V., Sharma S. Phys. Rev. D 2010, 81:034501.
36. Schwinger J.S. Phys. Rev. 1951, 82:664.
37. E.V. Gorbar, V.A. Miransky, I.A. Shovkovy, in preparation.
38. Gusynin V.P., Miransky V.A., Shovkovy I.A. Phys. Rev. D 1995, 52:4747.
39. Gusynin V.P., Miransky V.A., Shovkovy I.A. Nucl. Phys. B 1999, 563:361.
40. Miransky V.A., Shovkovy I.A. Phys. Rev. D 2002, 66:045006.
41. Gorbar E.V., Gusynin V.P., Miransky V.A. Low Temp. Phys. 2008, 34:790.
42. Gorbar E.V., Gusynin V.P., Miransky V.A., Shovkovy I.A. Phys. Rev. B 2008, 78:085437.
43. Ferrer E.J., de la Incera V. Phys. Rev. Lett. 2009, 102:050402.