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Low-energy theorems of QCD and bulk viscosity at finite temperature and baryon density in a magnetic field

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Abstract

The nonperturbative QCD vacuum at finite temperature and baryon density in an external magnetic field has been studied. Relations between the nonperturbative condensates and the thermodynamic pressure at T ≠ 0, μ q ≠ 0, and H ≠ 0 have been obtained and the low-energy theorems have been derived. Bulk viscosity ζ(T, μ, H) has been described in terms of the main thermodynamic quantities characterizing the quark-gluon matter at T ≠ 0, μq ≠ 0, and H ≠ 0. Various limiting cases have been discussed.

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References

  1. D. E. Kharzeev, L. D. McLerran, and H. J. Warringa, Nucl. Phys. A 803, 227 (2008).

    Article  ADS  Google Scholar 

  2. V. Skokov, A. Y. Illarionov, and V. Toneev, Int. J. Mod. Phys. A 24, 5925 (2009).

    Article  ADS  Google Scholar 

  3. D. Kharzeev, Phys. Lett. B 633, 260 (2006).

    Article  ADS  Google Scholar 

  4. K. Fukushima, D. E. Kharzeev, and H. J. Warringa, Phys. Rev. D 78, 074033 (2008).

    Article  ADS  Google Scholar 

  5. K. Fukushima, M. Ruggieri, and R. Gatto, Phys. Rev. D 81, 114031 (2010).

    Article  ADS  Google Scholar 

  6. N. O. Agasian, Phys. Lett. B 488, 39 (2000).

    Article  ADS  Google Scholar 

  7. N. O. Agasian and S. M. Fedorov, Phys. Lett. B 663, 445 (2008).

    Article  ADS  Google Scholar 

  8. E. S. Fraga and A. J. Mizher, Phys. Rev. D 78, 025016 (2008).

    Article  ADS  Google Scholar 

  9. P. V. Buividovich, M. N. Chernodub, E. V. Luschevskaya, and M. I. Polikarpov, Phys. Lett. B 682, 484 (2010).

    Article  ADS  Google Scholar 

  10. A. Ayala, A. Bashir, A. Raya, and A. Sanchez, Phys. Rev. D 80, 036005 (2009).

    Article  ADS  Google Scholar 

  11. P. V. Buividovich, M. N. Chernodub, E. V. Luschevskaya, and M. I. Polikarpov, Phys. Rev. D 80, 054503 (2009).

    Article  ADS  Google Scholar 

  12. A. J. Mizher, M. N. Chernodub, and E. S. Fraga, Phys. Rev. D 82, 105016 (2010).

    Article  ADS  Google Scholar 

  13. M. D’Elia, S. Mukherjee, and F. Sanfilippo, Phys. Rev. D 82, 051501 (2010).

    Article  ADS  Google Scholar 

  14. R. Gatto and M. Ruggieri, Phys. Rev. D 82, 054027 (2010).

    Article  ADS  Google Scholar 

  15. R. Gatto and M. Ruggieri, Phys. Rev. D 83, 034016 (2011).

    Article  ADS  Google Scholar 

  16. M. Frasca and M. Ruggieri, Phys. Rev. D 83, 094024 (2011).

    Article  ADS  Google Scholar 

  17. M. D’Elia and F. Negro, Phys. Rev. D 83, 114028 (2011).

    Article  ADS  Google Scholar 

  18. N. O. Agasian and I. A. Shushpanov, JETP Lett. 70, 717 (1999); N. O. Agasian and I. A. Shushpanov, Phys. Lett. B 472, 143 (2000); N. O. Agasian and I. A. Shushpanov, J. High Energy Phys. 0110, 006 (2001).

    Article  ADS  Google Scholar 

  19. N. O. Agasian, Phys. At. Nucl. 64, 554 (2001); N. O. Agasian, Phys. At. Nucl. 71, 1967 (2008).

    Article  Google Scholar 

  20. V. A. Novikov, M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B 191, 301 (1981).

    Article  ADS  Google Scholar 

  21. P. J. Ellis, J. I. Kapusta, and H. B. Tang, Phys. Lett. B 443, 63 (1998).

    Article  ADS  Google Scholar 

  22. I. A. Shushpanov, J. I. Kapusta, and P. J. Ellis, Phys. Rev. C 59, 2931 (1999).

    Article  ADS  Google Scholar 

  23. D. Kharzeev and K. Tuchin, J. High Energy Phys. 0809, 093 (2008).

    Article  ADS  Google Scholar 

  24. F. Karsch, D. Kharzeev, and K. Tuchin, Phys. Lett. B 663, 217 (2008).

    Article  ADS  Google Scholar 

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Correspondence to N. O. Agasian.

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Original Russian Text © N.O. Agasian, 2012, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2012, Vol. 95, No. 4, pp. 187–191.

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Agasian, N.O. Low-energy theorems of QCD and bulk viscosity at finite temperature and baryon density in a magnetic field. Jetp Lett. 95, 171–175 (2012). https://doi.org/10.1134/S0021364012040029

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  • DOI: https://doi.org/10.1134/S0021364012040029

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