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Non-Abelian duality and confinement: From to supersymmetric QCD
Phys. Rev. D 83, 105021 – Published 24 May, 2011
DOI: https://doi.org/10.1103/PhysRevD.83.105021
Abstract
Recently, we discovered and discussed non-Abelian duality in the quark vacua of super-Yang-Mills theory with the gauge group and flavors (). Both theories from the dual pair support non-Abelian strings, which confine monopoles. Now we introduce an -breaking deformation, a mass term for the adjoint fields. Starting from a small deformation, we eventually make it large, which enforces complete decoupling of the adjoint fields. We show that the above non-Abelian duality fully survives in the limit of supersymmetric QCD (SQCD), albeit some technicalities change. For instance, non-Abelian strings which used to be Bogomol’nyi-Prasad-Sommerfield saturated in the limit, cease to be saturated in SQCD. Our duality is a distant relative of Seiberg’s duality in SQCD. Both share some common features, but have many drastic distinctions. This is due to the fact that Seiberg’s duality apply to the monopole rather than quark vacua. More specifically, in our theory we deal with massive quark flavors. We consider the vacuum in which squarks condense. Then we identify a crossover transition from weak to strong coupling. At strong coupling, we find a dual theory, SQCD, with light dyon flavors. Dyons condense triggering the formation of non-Abelian strings, which confine monopoles. Screened quarks and gauge bosons of the original theory decay into confined monopole-antimonopole pairs and form stringy mesons.
Article Text
References (56)
- Y. Nambu, Phys. Rev. D 10, 4262 (1974); G. ’t Hooft, in Proc. of the E.P.S. Int. Conf. on High Energy Physics, Palermo, 1975, edited by A. Zichichi (Editrice Compositori, Bologna, 1976); Nucl. Phys. B190, 455 (1981); S. Mandelstam, Phys. Rep. 23, 245 (1976).
- N. Seiberg and E. Witten, Nucl. Phys. B426, 19 (1994); B430(E), 485 (1994).
- N. Seiberg and E. Witten, Nucl. Phys. B431, 484 (1994).
- A. Abrikosov, Sov. Phys. JETP 32, 1442 (1957); Reprinted in Solitons and Particles, edited by C. Rebbi and G. Soliani (World Scientific, Singapore, 1984), p. 356; H. Nielsen and P. Olesen, Nucl. Phys. B61, 45 (1973); Reprinted in Solitons and Particles, edited by C. Rebbi and G. Soliani (World Scientific, Singapore, 1984), p. 365.
- M. R. Douglas and S. H. Shenker, Nucl. Phys. B447, 271 (1995).
- A. Hanany, M. J. Strassler, and A. Zaffaroni, Nucl. Phys. B513, 87 (1998).
- M. Strassler, Prog. Theor. Phys. Suppl. 131, 439 (1998).
- A. I. Vainshtein and A. Yung, Nucl. Phys. B614, 3 (2001).
- A. Yung, Proc. of 28th PNPI Winter School of Physics, St. Petersburg, Russia, 2000; published in At The Frontier of Particle Physics, edited by M. Shifman (World Scientific, Singapore, 2001), Vol. 3, p. 1827.
- M. Shifman and A. Yung, Phys. Rev. D 79, 125012 (2009).
- M. Shifman and A. Yung, Phys. Rev. D 81, 085009 (2010).
- P. Fayet and J. Iliopoulos, Phys. Lett. B 51, 461 (1974).
- A. Hanany and D. Tong, J. High Energy Phys. 07 (2003) 037.
- R. Auzzi, S. Bolognesi, J. Evslin, K. Konishi, and A. Yung, Nucl. Phys. B673, 187 (2003).
- M. Shifman and A. Yung, Phys. Rev. D 70, 045004 (2004).
- A. Hanany and D. Tong, J. High Energy Phys. 04 (2004) 066.
- D. Tong, arXiv:hep-th/0509216.
- M. Eto, Y. Isozumi, M. Nitta, K. Ohashi, and N. Sakai, J. Phys. A 39, R315 (2006).
- M. Shifman and A. Yung, Rev. Mod. Phys. 79, 1139 (2007); an expanded version in (Cambridge University Press, Cambridge, England, 2009).
- D. Tong, Ann. Phys. (N.Y.) 324, 30 (2009).
- M. Shifman and A. Yung, Phys. Rev. D 79, 105006 (2009).
- M. Shifman and A. Yung, AIP Conf. Proc. 1200, 194 (2010).
- P. Argyres, M. Plesser, and N. Seiberg, Nucl. Phys. B471, 159 (1996).
- N. Seiberg, Nucl. Phys. B435, 129 (1995).
- K. A. Intriligator and N. Seiberg, Nucl. Phys. B, Proc. Suppl. 45BC, 1 (1996).
- E. J. Weinberg, Nucl. Phys. B167, 500 (1980); B203, 445 (1982).
- K. Intriligator, N. Seiberg, and D. Shih, J. High Energy Phys. 04 (2006) 021.
- K. A. Intriligator and N. Seiberg, Classical Quantum Gravity 24, S741 (2007).
- M. Shifman and A. Yung, Phys. Rev. D 76, 045005 (2007).
- Z. Komargodski, J. High Energy Phys. 02 (2011) 019.
- M. Shifman and A. Yung, Phys. Rev. D 82, 066006 (2010).
- G. Carlino, K. Konishi, and H. Murayama, Nucl. Phys. B590, 37 (2000).
- A. Bilal and F. Ferrari, Nucl. Phys. B516, 175 (1998).
- A. Achucarro and T. Vachaspati, Phys. Rep. 327, 347 (2000).
- M. Shifman and A. Yung, Phys. Rev. D 73, 125012 (2006).
- M. Eto, J. Evslin, K. Konishi, G. Marmorini, M. Nitta, K. Ohashi, W. Vinci, and N. Yokoi, Phys. Rev. D 76, 105002 (2007).
- M. Shifman, W. Vinci, and A. Yung (unpublished).
- D. Tong, Phys. Rev. D 69, 065003 (2004).
- E. Witten, Nucl. Phys. B149, 285 (1979).
- K. Hori and C. Vafa, arXiv:hep-th/0002222.
- M. Edalati and D. Tong, J. High Energy Phys. 05 (2007) 005.
- M. Shifman and A. Yung, Phys. Rev. D 77, 125016 (2008).
- P. A. Bolokhov, M. Shifman, and A. Yung, Phys. Rev. D 79, 085015 (2009); 80, 049902(E) (2009).
- M. Shifman and A. Yung, Phys. Rev. D 72, 085017 (2005).
- A. Yung, Nucl. Phys. B562, 191 (1999).
- M. Hindmarsh, Nucl. Phys. B392, 461 (1993).
- E. Witten, Phys. Rev. Lett. 81, 2862 (1998).
- A. Gorsky, M. Shifman, and A. Yung, Phys. Rev. D 71, 045010 (2005).
- D. Kutasov, A. Schwimmer, and N. Seiberg, Nucl. Phys. B459, 455 (1996).
- S. Elitzur, A. Forge, A. Giveon, and E. Rabinovici, Phys. Lett. B 353, 79 (1995).
- A. Gorsky, A. Vainshtein, and A. Yung, Nucl. Phys. B584, 197 (2000).
- F. Cachazo, N. Seiberg, and E. Witten, J. High Energy Phys. 04 (2003) 018.
- P. C. Argyres and A. E. Faraggi, Phys. Rev. Lett. 74, 3931 (1995).
- A. Klemm, W. Lerche, S. Yankielowicz, and S. Theisen, Phys. Lett. B 344, 169 (1995).
- P. C. Argyres, M. R. Plesser, and A. Shapere, Phys. Rev. Lett. 75, 1699 (1995).
- A. Hanany and Y. Oz, Nucl. Phys. B452, 283 (1995).