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Renormalization group equation and QCD coupling constant in the presence of SU(3) chromo-electric field

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Abstract

We solve the renormalization group equation in QCD in the presence of a SU(3) constant chromo-electric field E a with arbitrary color index a=1,2,…,8 and find that the QCD coupling constant α s depends on two independent Casimir/gauge invariants C 1=[E a E a] and C 2=[d abc E a E b E c]2 instead of one gauge invariant C 1=[E a E a]. The β function is derived from the one-loop effective action. This coupling constant may be useful to study hadron formation from color flux tubes/strings at high energy colliders and to study quark–gluon plasma formation at RHIC and LHC.

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References

  1. G.C. Nayak, P. van Nieuwenhuizen, Phys. Rev. D 71, 125001 (2005)

    Article  ADS  Google Scholar 

  2. F. Cooper, G.C. Nayak, Phys. Rev. D 73, 065005 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  3. G.C. Nayak, Phys. Rev. D 72, 125010 (2005)

    Article  ADS  Google Scholar 

  4. J. Schwinger, Phys. Rev. 82, 664 (1951)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  5. W. Heisenberg, H. Euler, Z. Phys. 98, 714 (1936)

    Article  ADS  Google Scholar 

  6. A. Casher, H. Neuberger, S. Nussinov, Phys. Rev. D 20, 179 (1979)

    Article  ADS  Google Scholar 

  7. B. Andersson, The Lund Model (Cambridge University Press, Cambridge, 1998)

    MATH  Google Scholar 

  8. PYTHIA, http://www.thep.lu.se/~torbjorn/pythia.html

  9. F. Cooper, E. Mottola, G.C. Nayak, Phys. Lett. B 555, 181 (2003)

    Article  MATH  ADS  Google Scholar 

  10. G.C. Nayak et al., Nucl. Phys. A 687, 457 (2001)

    Article  ADS  Google Scholar 

  11. L. McLerran, R. Venugopalan, Phys. Rev. D 49, 2233 (1994)

    Article  ADS  Google Scholar 

  12. L. McLerran, R. Venugopalan, Phys. Rev. D 49, 3352 (1994)

    Article  ADS  Google Scholar 

  13. E. Iancuu, A. Leonidov, L. McLerran, Phys. Lett. B 510, 133 (2001)

    Article  ADS  Google Scholar 

  14. E. Iancuu, A. Leonidov, L. McLerran, Nucl. Phys. A 692, 583 (2001)

    Article  ADS  Google Scholar 

  15. J. Jalilian-Marian, A. Kovner, L. Mcerran, H. Weigert, Phys. Rev. D 55, 5414 (1997)

    Article  ADS  Google Scholar 

  16. G. ’t Hooft, Nucl. Phys. B 62, 444 (1973)

    Article  ADS  Google Scholar 

  17. L.F. Abbott, Nucl. Phys. B 185, 189 (1981)

    Article  ADS  Google Scholar 

  18. S. Coleman, E. Weinberg, Phys. Rev. D 7, 1888 (1973)

    Article  ADS  Google Scholar 

  19. T. Muta, Foundations of Quantum Chromodynamics, World Scientific Lecture Notes in Physics, vol. 5

Download references

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Authors and Affiliations

  1. Department of Physics, University of Arizona, Tucson, AZ, 85721, USA

    Gouranga C. Nayak

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  1. Gouranga C. Nayak
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Correspondence to Gouranga C. Nayak.

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Nayak, G.C. Renormalization group equation and QCD coupling constant in the presence of SU(3) chromo-electric field. Eur. Phys. J. C 64, 73–79 (2009). https://doi.org/10.1140/epjc/s10052-009-1119-7

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  • DOI: https://doi.org/10.1140/epjc/s10052-009-1119-7

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