Skip to main content
SpringerLink
Log in

Period integrals, quantum numbers, and confinement in Susy QCD

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

We compute the period integrals on degenerate Seiberg—Witten curves for supersymmetric QCD explicitly and also show how these periods determine the changes in the quantum numbers of the states when passing from the weak- to strong-coupling domains in the mass moduli space of the theory. We discuss the confinement of monopoles at a strong coupling and demonstrate that the ambiguities in choosing the path in the moduli space do not affect the physical conclusions on confinement of monopoles in the phase with condensed light dyons.

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. A. Marshakov and A. Yung, Nucl. Phys. B, 647, 3–48 (2002); arXiv:hep-th/0202172v3 (2002).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  2. A. Marshakov and A. Yung, Nucl. Phys. B, 831, 72–104 (2010); arXiv:0912.1366v2 [hep-th] (2009).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. A. Bilal and F. Ferrari, Nucl. Phys. B, 516, 175–228 (1998); arXiv:hep-th/9706145v4 (1997).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  4. A. Ritz and A. Vainshtein, Nucl. Phys. B, 617, 43–70 (2001); arXiv:hep-th/0102121v2 (2001).

    Article  MATH  ADS  Google Scholar 

  5. N. Seiberg and E. Witten, Nucl. Phys. B, 426, 19–52 (1994); Erratum, 430, 485–486 (1994); arXiv:hep-th/9407087v1 (1994).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. N. Seiberg and E. Witten, Nucl. Phys. B, 431, 484–550 (1994); arXiv:hep-th/9408099v1 (1994).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. A. Hanany and Y. Oz, Nucl. Phys. B, 452, 283–312 (1995); arXiv:hep-th/9505075v1 (1995).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. P. C. Argyres, M. R. Plesser, and N. Seiberg, Nucl. Phys. B, 471, 159–194 (1996); arXiv:hep-th/9603042v1 (1996).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  9. A. Gorsky, A. Marshakov, A. Mironov, and A. Morozov, Phys. Lett. B, 380, 75–80 (1996); arXiv:hep-th/9603140v1 (1996).

    Article  MathSciNet  ADS  Google Scholar 

  10. D. Gaiotto, “N=2 dualities,” arXiv:0904.2715v1 [hep-th] (2009).

  11. T. Eguchi and K. Maruyoshi, JHEP, 1002, 022 (2010); arXiv:0911.4797v3 [hep-th] (2009).

    Article  MathSciNet  ADS  Google Scholar 

  12. A. Losev, A. Marshakov, and N. Nekrasov, “Small instantons, little strings, and free fermions,” in: From Fields to Strings: Circumnavigating Theoretical Physics (M. Shifman, A. Vainshtein, and J. Wheater, eds.), Vol. 1, World Scientific, Singapore (2005), pp. 581–621; arXiv:hep-th/0302191v3 (2003).

    Google Scholar 

  13. A. Marshakov and N. A. Nekrasov, JHEP, 0701, 104 (2007); arXiv:hep-th/0612019v2 (2006); A. V. Marshakov, Theor. Math. Phys., 154, 362–384 (2008); arXiv:0706.2857v2 [hep-th] (2007).

    Article  MathSciNet  ADS  Google Scholar 

  14. P. C. Argyres and M. R. Douglas, Nucl. Phys. B, 448, 93–126 (1995); arXiv:hep-th/9505062v1 (1995); P. C. Argyres, M. R. Plesser, N. Seiberg, and E. Witten, Nucl. Phys. B, 461, 71–84 (1996); arXiv:hep-th/9511154v1 (1995); T. Eguchi, K. Hori, K. Ito, and S.-K. Yang, Nucl. Phys. B, 471, 430–442 (1996); arXiv:hep-th/9603002v1 (1996).

    Article  ADS  Google Scholar 

  15. A. Erdélyi, W. Magnus, F. Oberhettinger, and F. Tricomi, Higher Transcendental Functions, Vol. 3, McGraw-Hill, New York (1955).

    MATH  Google Scholar 

  16. I. M. Krichever, Comm. Pure. Appl. Math., 47, 437–475 (1992); arXiv:hep-th/9205110v1 (1992).

    Article  MathSciNet  Google Scholar 

  17. N. Dorey, JHEP, 9811, 005 (1998); arXiv:hep-th/9806056v2 (1998); N. Dorey, T. Hollowood, and D. Tong, JHEP, 9905, 006 (1999); arXiv:hep-th/9902134v1 (1999).

    ADS  Google Scholar 

  18. M. Shifman and A. Yung, Phys. Rev. D, 79, 125012 (2009); arXiv:0904.1035v1 [hep-th] (2009).

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lebedev Physical Institute, RAS, Moscow, Russia

    A. V. Marshakov

  2. Institute for Theoretical and Experimental Physics, Moscow, Russia

    A. V. Marshakov

Authors
  1. A. V. Marshakov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 165, No. 3, pp. 488–502, December, 2010.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Marshakov, A.V. Period integrals, quantum numbers, and confinement in Susy QCD. Theor Math Phys 165, 1650–1661 (2010). https://doi.org/10.1007/s11232-010-0135-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11232-010-0135-y

Keywords

Search

Navigation