Skip to main content
SpringerLink
Log in

Light-like Wilson line in QCD without path ordering

  • Physics of Elementary Particles and Atomic Nuclei. Theory
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

Unlike the Wilson line in QED the Wilson line in QCD contains path ordering. In this paper we get rid of the path ordering in the light-like Wilson line in QCD by simplifying all the infinite number of noncommuting terms in the SU(3) pure gauge. We prove that the light-like Wilson line in QCD naturally emerges when path integral formulation of QCD is used to prove factorization of soft and collinear divergences at all order in coupling constant in QCD processes at high energy colliders.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. C. Collins and D. E. Soper, Nucl. Phys. B 193, 381 (1981), Nucl. Phys. B 213, 545(E) (1983), Nucl. Phys. B 194, 445 (1982).

    Article  ADS  Google Scholar 

  2. J. C. Collins, D. E. Soper, and G. Sterman, Nucl. Phys. B 261, 104 (1985).

    Article  ADS  Google Scholar 

  3. G. C. Nayak, J. Qiu, and G. Sterman, Phys. Lett. B 613, 45–51 (2005), Phys. Rev. D 72, 114012 (2005), Phys. Rev. D 74, 074007 (2006).

    Article  ADS  Google Scholar 

  4. G. C. Nayak, arXiv:1506.02593[hep-ph].

  5. G. C. Nayak, arXiv:1506.02651[hep-ph].

  6. G. C. Nayak, J. High Energy Phys. 1303, 001 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  7. G. C. Nayak, Eur. Phys. J. C 73, 2442 (2013).

    Article  ADS  Google Scholar 

  8. R. Tucci, Phys. Rev. D: Part. Fields 32, 945 (1985).

    Article  ADS  Google Scholar 

  9. C. W. Bauer, D. Pirjol, and I. W. Stewart, Phys. Rev. D: Part. Fields 65, 054022 (2002), arXiv:hep-ph/0109045.

    Article  ADS  Google Scholar 

  10. J. Chay, C. Kim, Y. G. Kim, and J.-P. Lee, Phys. Rev. D: Part. Fields 71, 056001 arXiv:hep-ph/0412110. (2005).

    Article  ADS  Google Scholar 

  11. C. F. Berger, arXiv:hep-ph/0305076.

  12. R. Frederix, “Wilson lines in QCD,” Masters Thesis (Natl. Inst. Nucl. Phys. High Energy Phys., Amsterdam, 2005).

    Google Scholar 

  13. G. C. Nayak, Ann. Phys. 324, 2579 (2009).

    Article  ADS  Google Scholar 

  14. G. C. Nayak, Ann. Phys. 325, 514 (2010).

    Article  ADS  Google Scholar 

  15. G. C. Nayak, Ann. Phys. 325, 682 (2010).

    Article  ADS  Google Scholar 

  16. T. Muta, Foundations of Quantum Chromodynamics, Lecture Notes in Physics, Vol. 5 (World Scientific, Singapore, 1987).

    Book  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  18. G.'t Hooft, Nucl. Phys. A 62, 444 (1973).

    Article  Google Scholar 

  19. H. Klueberg-Stern and J. B. Zuber, Phys. Rev. D: Part. Fields 12, 482 (1975).

    Article  ADS  Google Scholar 

  20. H. Klueberg-Stern and J. B. Zuber, Phys. Rev. D: Part. Fields 12, 3159 (1975).

    Article  ADS  Google Scholar 

  21. G. C. Nayak and P. van Nieuwenhuizen, Phys. Rev. D: Part. Fields 71, 125001 (2005), G. C. Nayak, Phys. Rev. D: Part. Fields 72, 125010 (2005).

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

    Article  ADS  MathSciNet  Google Scholar 

  23. M. E. Peskin and D. V. Schroeder, Introduction to Quantum Field Theory (Westview, Boulder, Colorado, 1995).

    Google Scholar 

  24. R. F. Dashen and D. J. Gross, Phys. Rev. D: Part. Fields 23, 2340 (1981).

    Article  ADS  Google Scholar 

  25. G. C. Nayak, Eur. Phys. J. C 64, 73 (2009), arXiv:0812.5054 [hep-ph].

    Article  ADS  Google Scholar 

  26. C. W. Bauer, S. Fleming, and M. Luke, Phys. Rev. D: Part. Fields 63, 014006 (2001), C. W. Bauer, S. Fleming, D. Pirjol, and I. W. Stewart, Phys. Rev. D: Part. Fields 63, 114020 (2001), C. W. Bauer and I. W. Stewart, Phys. Lett. B 516, 134 (2001).

    Article  ADS  Google Scholar 

  27. G. C. Nayak, J. Qiu, and G. Sterman, Phys. Rev. Lett. 99, 212001 (2007), Phys. Rev. D 77, 034022 2008).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. 665 East Pine Street, Long Beach, New York, 11561, USA

    Gouranga C. Nayak

Authors
  1. Gouranga C. Nayak
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Gouranga C. Nayak.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nayak, G.C. Light-like Wilson line in QCD without path ordering. Phys. Part. Nuclei Lett. 13, 417–426 (2016). https://doi.org/10.1134/S1547477116040105

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477116040105

Search

Navigation