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Adjoint QCD2 in Large N

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High-Energy Physics and Cosmology
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Abstract

We consider a dimensional reduction of 3+ 1 dimensional SU(N) Yang-Mills theory coupled to adjoint fermions to obtain a class of 1 + 1 dimensional gauge theories. We derive the quantized light-cone Hamiltonian in the light-cone gauge A_ = 0 and large-N limit, then solve for the masses, wavefunctions and of the color singlet boson and fermion bound8tates. We find that the theory has many exact massless state that are similar to the t’Hooft pion.

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References

  1. F. Antonuccio and S. Pinsky ”Matrix Theory for Reduced SU(N) Yang Mills with Adjoint Fermions” hep-th/9612021 to appear phys. Lett. B

    Google Scholar 

  2. F. Antonuccio and S. Dalley, Phys. Lett. B376 (1996) 154–162.

    ADS  Google Scholar 

  3. F. Antonuccio and S. Dalley, Nucl. Phys. B461 (1996) 275–301.

    Article  ADS  Google Scholar 

  4. M. Burkardt and B. van de Sande, hep-th/9510104

    Google Scholar 

  5. P. A. M. Dirac, Rev. Mod. Phys. 21, 392 (1949).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. S.S. Pinsky and D. G. Robertson ”Light-Front QCD 1+1 Coupled to Chiral Adjoint Fermions Phys. Lett. B379 (1996) 169; S. Pinsky, and R. Mohr ” The Condensate for SU(2) Yang-Maills Theory in 1 + 1 Dimensions Coupled to Massless Ajdoint Fermions” to appear in Int. J. Mod. Phys.; S.S. Pinsky “(l+l)-Dimensional Yang-Maills Theory Coupled to Adjoint Fermions on the Light Front” hep-th/9612073

    ADS  Google Scholar 

  7. S. Dalley and L.R. Klebanov, Phys. Rev. D47 (1993) 2517; K. Demeterfi, I. R. Klebanov, and G. Bhanot, Nucl. Phys. B418, 15 (1994); G. Bhanot, K. Demeterfi, and I. R. Klebanov, Phys. Rev. D48, 4980 (1993)

    MathSciNet  ADS  Google Scholar 

  8. F. Antonuccio, S.J. Brodsky and S. Dalley, in preparation.

    Google Scholar 

  9. C.M. Bender, S. Pinsky, B. Van de Sande, Phys. Rev. D48 (1993) 816; S. S. Pinsky, and B. van de Sande, Phys. Rev. D 49, 2001 (1994) and J. Hiller, S.S. Pinsky and B. van de Sande, Phys.Rev. D51 726 (1995).

    ADS  Google Scholar 

  10. G. ’t Hooft, Nucl. Phys. B75, 461 (1974).

    Article  ADS  Google Scholar 

  11. H.-C. Pauli and S.J. Brodsky, Phys. Rev. D32 (1985) 1993 and 2001.

    Google Scholar 

  12. K. Demeterfi and I.R. Klebanov, Phys. Rev. D48 (1993) 4980; S. Dalley and LR. Klebanov, Phys. Lett. B298 (1993) 79; S. Dalley, Phys. Lett. B334 (1994) 61. F. Antonuccio and S. Dalley, Phys. Lett. B348 (1995) 55–62.

    ADS  Google Scholar 

  13. Y. Matsumura and N. Sakai, “Mass Spectra of Supersymmetric Yang-Mills Theories in 1 + 1 dimensions”, TIT/HEP-290, hep-th/9504150.

    Google Scholar 

  14. A. Hashimoto and I.R. Klebanov, “Matrix Model Approach to d > 2 Non-critical Superstrings”, PUPT-1551, hep-th/9507062.

    Google Scholar 

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© 1997 Springer Science+Business Media New York

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Pinsky, S. (1997). Adjoint QCD2 in Large N. In: Kursunoglu, B.N., Mintz, S.L., Perlmutter, A. (eds) High-Energy Physics and Cosmology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5397-7_17

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  • DOI: https://doi.org/10.1007/978-1-4615-5397-7_17

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7464-0

  • Online ISBN: 978-1-4615-5397-7

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