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Quantization of the Restricted Gauge Theory of QCD 2

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Abstract

In this talk, we consider the restricted gauge theory of QCD 2 à la Cho et al. and study its quantization using Hamiltonian, path integral and BRST quantization procedures.

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References

  1. ’t Hooft G.: Topology of the gauge condition and new confinement phases in non-abelian gauge theories. Nucl. Phys. B 190, 455 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  2. Cho Y.M., Hong S.-T., Kim J.H., Park Y.-J.: Dirac quantization of restricted QCD. Mod. Phys. Lett. A 22(37), 2799–2813 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. Cho Y.M.: Resttrictef guage theory. Phys. Rev. D 21, 1080 (1980)

    Article  MathSciNet  ADS  Google Scholar 

  4. Cho Y.M.: A theory of monopoles. J. Korean Phys. Soc. 17, 266 (1984)

    Google Scholar 

  5. Cho Y.M.: Glueball spectrum in extended QCD. Phys. Rev. Lett. 46, 302 (1981)

    Article  ADS  Google Scholar 

  6. Cho Y.M.: Extended gauge theory and its mass spectrum. Phys. Rev. D 23, 2415 (1981)

    Article  ADS  Google Scholar 

  7. Cho Y.M.: Abelian dominance in Wilson loops. Phys. Rev. D 62, 074009 (2000)

    Article  ADS  Google Scholar 

  8. Cho Y.M.: Monopoles and knots in skyrme theory. Phys. Rev. Lett. 87, 252001 (2001)

    Article  ADS  Google Scholar 

  9. Cho Y.M.: Reinterpretation of Faddeev–Niemi knot in skyrme theory. Phys. Lett. B 603, 88 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Cho Y.M.: Chromoelectric knot in QCD. Phys. Lett. B 616, 101 (2005)

    Article  ADS  Google Scholar 

  11. Cho Y.M.: Colored monopoles. Phys. Rev. Lett. 44, 1115 (1980)

    Article  ADS  Google Scholar 

  12. Cho Y.M.: Internal structure of the monopoles. Phys. Lett. B 115, 125 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  13. Cho Y.M.: Vacuum tunneling in spontaneously broken gauge theory. Phys. Lett. B 81, 25 (1979)

    Article  ADS  Google Scholar 

  14. Cho Y.M., Lee H.W., Pak D.G.: Faddeev–Niemi conjecture and effective action of QCD. Phys. Lett. B 525, 347 (2002)

    Article  ADS  MATH  Google Scholar 

  15. Cho Y.M., Pak D.G.: Monopole condensation in SU(2) QCD. Phys. Rev. D 65, 074027 (2002)

    Article  ADS  Google Scholar 

  16. Cho Y.M., Walker M., Pak D.G.: Monopole condensation and dimensional transmutation in SU(2) QCD. JHEP 05, 073 (2004)

    Article  ADS  Google Scholar 

  17. Cho Y.M., Walker M.L.: Stability of monopole condensation in SU(2) QCD. Mod. Phys. Lett. A 19, 2707 (2004)

    Article  MATH  Google Scholar 

  18. Cho Y.M., Kim J.H., Pak D.G.: QCD effective action with a most general homogeneous background. Mod. Phys. Lett. A 21, 2789–2797 (2006)

    Article  ADS  MATH  Google Scholar 

  19. Faddeev L., Niemi A.: Stable knot-like structures in classical field theory. Nature 387, 58 (1997)

    Article  ADS  Google Scholar 

  20. Faddeev L., Niemi A.: Partially Dual Variables in SU(2) Yang-Mills Theory. Phys. Rev. Lett. 82, 1624 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. Faddeev L., Niemi A.(1999) Partial duality in SU(N) Yang-Mills theory. Phys. Lett. B 449: 214

  22. Langman E., Niemi A.: Towards a string representation of infrared SU(2) Yang-Mills theory. Phys. Lett. B 463, 252 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  23. Battye R., Sutcliffe P.: Knots as stable soliton solutions in a three-dimensional classical field theory. Phys. Rev. Lett. 81, 4798 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  24. Shabanov S.: An effective action for monopoles and knot solitons in Yang–Mills theory. Phys. Lett. B 458, 322 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. Shabanov S.: Yang-Mills theory as an Abelian theory without gauge fixing. Phys. Lett. B 463, 263 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  26. Gies H.: Wilsonian effective action for SU(2) Yang-Mills theory with the Cho-Faddeev-Niemi-Shabanov decomposition. Phys. Rev. D 63, 125023 (2001)

    Article  ADS  Google Scholar 

  27. Bae W.S., Cho Y.M., Kimm S.W.: Extended QCD versus Skyrme-Faddeev theory. Phys. Rev. D 65, 025005 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  28. Dirac P.A.M.: Generalized hamiltonian dynamics. Can. J. Math. 2, 129 (1950)

    Article  MathSciNet  MATH  Google Scholar 

  29. Henneaux M., Teitelboim C.: Quantization of Gauge Systems. Princeton University Press, Princeton (1992)

    MATH  Google Scholar 

  30. Becchi C., Rouet A., Stora A.: The abelian Higgs Kibble model, unitarity of the S-operator. Phys. Lett. B 52, 344 (1974)

    Article  ADS  Google Scholar 

  31. Tyutin, V.: Lebedev Report No. FIAN-39 (unpublished)

  32. Nemeschansky D., Preitschopf C., Weinstein M.: A BRST primer. Ann. Phys. (N.Y.) 183, 226 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  33. Dirac P.A.M.: Forms of Relativistic Dynamics. Rev. Mod. Phys. 21, 392 (1949)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  34. Brodsky S.J., Pauli H.C., Pinsky S.S.: Quantum chromodynamics and other field theories on the light cone. Phys. Rep. 301, 299 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  35. Kulshreshtha U., Kulshreshtha D.S.: Conformally gauge-fixed Polyakov D1 brane action in the presence of a 2-form gauge field: the instant-form and front-form Hamiltonian and path integral formulations. Phys. Lett. B 555(3–4), 255–263 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  36. Kulshreshtha U., Kulshreshtha D.S., Vary J.P.: Light-front Hamiltonian and path integral formulations of large N scalar QCD(2). Phys. Lett. B 708, 195–198 (2012)

    Article  MathSciNet  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics and Astrophysics, University of Delhi, Delhi, 110007, India

    D. S. Kulshreshtha

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  1. D. S. Kulshreshtha
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Correspondence to D. S. Kulshreshtha.

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Kulshreshtha, D.S. Quantization of the Restricted Gauge Theory of QCD 2 . Few-Body Syst 56, 565–569 (2015). https://doi.org/10.1007/s00601-015-1018-4

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