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Spectrum and thermodynamic properties of two-dimensional N=(1,1) super Yang-Mills theory with fundamental matter and a Chern-Simons term

John R. Hiller1, Stephen Pinsky2, Yiannis Proestos2, Nathan Salwen2, and Uwe Trittmann3

  • 1Department of Physics, University of Minnesota Duluth, Duluth, Minnesota 55812, USA
  • 2Department of Physics, Ohio State University, Columbus, Ohio 43210, USA
  • 3Department of Physics & Astronomy, Otterbein College, Westerville, Ohio 43081, USA

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Phys. Rev. D 76, 045008 – Published 16 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.045008

Abstract

We consider  N=(1,1) super Yang-Mills theory in 1+1 dimensions with fundamentals at large Nc. A Chern-Simons term is included to give mass to the adjoint partons. Using the spectrum of the theory, we calculate thermodynamic properties of the system as a function of the temperature and the Yang-Mills coupling. In the large-Nc limit there are two noncommunicating sectors, the glueball sector, which we presented previously, and the mesonlike sector that we present here.  We find that the mesonlike sector dominates the thermodynamics. Like the glueball sector, the meson sector has a Hagedorn temperature TH, and we show that the Hagedorn temperature grows with the coupling. We calculate the temperature and coupling dependence of the free energy for temperatures below TH. As expected, the free energy for weak coupling and low temperature grows quadratically with the temperature. Also the ratio of the free energies at strong coupling compared to weak coupling, rs−w, for low temperatures grows quadratically with T. In addition, our data suggest that rs−w tends to zero in the continuum limit at low temperatures.

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References (33)

  1. S. S. Gubser, I. R. Klebanov, and A. W. Peet, Phys. Rev. D 54, 3915 (1996).
  2. M. Li, J. High Energy Phys. 03 (1999) 004; A. A. Tseytlin and S. Yankielowicz, Nucl. Phys. B541, 145 (1999); A. Fotopoulos and T. R. Taylor, Phys. Rev. D 59, 061701 (1999).
  3. A. Das and M. Kaku, Phys. Rev. D 18, 4540 (1978).
  4. Y. Matsumura, N. Sakai, and T. Sakai, Phys. Rev. D 52, 2446 (1995).
  5. O. Lunin and S. Pinsky, AIP Conf. Proc. 494, 140 (1999).
  6. A. G. Cohen, D. B. Kaplan, E. Katz, and M. Unsal, J. High Energy Phys. 08 (2003) 024.
  7. J. R. Hiller, S. S. Pinsky, Y. Proestos, and N. Salwen, Phys. Rev. D 70, 065012 (2004).
  8. S. J. Brodsky, Nucl. Phys. B, Proc. Suppl. 108, 327 (2002).
  9. V. S. Alves, A. Das, and S. Perez, Phys. Rev. D 66, 125008 (2002); A. Das and X. X. Zhou, 68, 065017 (2003); A. Das, arXiv:hep-th/0310247.
  10. A. N. Kvinikhidze and B. Blankleider, Phys. Rev. D 69, 125005 (2004).
  11. H. A. Weldon, Phys. Rev. D 26, 1394 (1982).
  12. M. Beyer, S. Mattiello, T. Frederico, and H. J. Weber, arXiv:hep-ph/0310222.
  13. S. Elser and A. C. Kalloniatis, Phys. Lett. B 375, 285 (1996).
  14. H.-C. Pauli and S. J. Brodsky, Phys. Rev. D 32, 1993 (1985); 32, 2001 (1985).
  15. S. J. Brodsky, H.-C. Pauli, and S. S. Pinsky, Phys. Rep. 301, 299 (1998).
  16. F. Antonuccio, O. Lunin, and S. S. Pinsky, Phys. Lett. B 429, 327 (1998).
  17. F. Antonuccio, O. Lunin, and S. Pinsky, Phys. Rev. D 59, 085001 (1999).
  18. P. Haney, J. R. Hiller, O. Lunin, S. Pinsky, and U. Trittmann, Phys. Rev. D 62, 075002 (2000).
  19. J. R. Hiller, S. Pinsky, and U. Trittmann, Phys. Rev. D 64, 105027 (2001).
  20. R. Hagedorn, Nuovo Cimento Suppl. 3, 147 (1965); Nuovo Cimento A 56, 1027 (1968).
  21. D. Kutasov, Nucl. Phys. B414, 33 (1994).
  22. D. J. Gross, A. Hashimoto, and I. R. Klebanov, Phys. Rev. D 57, 6420 (1998).
  23. F. Antonuccio and S. Pinsky, Phys. Lett. B 439, 142 (1998).
  24. J. R. Hiller, S. S. Pinsky, and U. Trittmann, Phys. Rev. Lett. 89, 181602 (2002).
  25. J. R. Hiller, M. Harada, S. S. Pinsky, N. Salwen, and U. Trittmann, Phys. Rev. D 71, 085008 (2005).
  26. J. R. Hiller, S. S. Pinsky, and U. Trittmann, Phys. Rev. D 67, 115005 (2003).
  27. J. R. Hiller, S. S. Pinsky, and U. Trittmann, Nucl. Phys. B661, 99 (2003).
  28. R. Alben, M. Blume, H. Krakauer, and L. Schwartz, Phys. Rev. B 12, 4090 (1975); A. Hams and H. De Raedt, Phys. Rev. E 62, 4365 (2000).
  29. T. Iitaka and T. Ebisuzaki, Phys. Rev. E 69, 057701 (2004).
  30. J. Jaklič and P. Prelovšek, Phys. Rev. B 49, 5065(R) (1994); M. Aichhorn, M. Daghofer, H. G. Evertz, and W. von der Linden, 67, 161103(R) (2003).
  31. J. R. Hiller, S. S. Pinsky, and U. Trittmann, Phys. Rev. D 66, 125015 (2002).
  32. J. Hiller, Y. Proestos, and U. Trittmann, “Thermodynamics of Three-Dimensional Super Yang-Mills Theory with a Chern-Simons Term” (unpublished).
  33. R. C. Myers and R. M. Thomson, J. High Energy Phys. 09 (2006) 066.

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Phys. Rev. D 76, 045008– Published 16 August, 2007
  • Received 16 February 2007

© 2007 American Physical Society

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