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Vector Particles in Quasilocal Quark Models

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Abstract

We consider a Quasilocal Quark Model of the NJL type including vector and axial-vector four-fermion interaction with derivatives. The mass spectrum for the ground and first excited states is obtained. Chiral symmetry restoration sum rules in these channels are applied as matching rules to the QCD at intermediate energies and a set of constraints on parameters of the QQM is obtained. Bibliography: 31 titles.

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REFERENCES

  1. A. A. Andrianov and V. A. Andrianov, Int. J. Mod. Phys., A8, 1981 (1993); Theor. Math. Phys., 94, 3 (1993); in: Proc.School-Sem. “Hadrons and Nuclei from QCD,” Tsuruga–Vladivostok–Sapporo (1993), K. Fujii et al. (eds.), World Scientific, Singapore (1994), p. 341; hep-ph/9309297.

    Google Scholar 

  2. Y. Nambu and G. Jona-Lasinio, Phys. Rev., 122, 345 (1961); 124, 246 (1961); V. G. Vaks and A. I. Larkin, Zh. Eksp. Teor. Fiz., 40, 289 (1961); B. A. Arbuzov, A. N. Tavchelidze, and R. N. Faustov, Dokl. Akad. Nauk SSSR,139, 345 (1961).

    Google Scholar 

  3. M. K. Volkov, Ann. Phys., 157, 282 (1984).

    Google Scholar 

  4. U.-G. Meissner, Phys. Rept., 161, 213 (1988).

    Google Scholar 

  5. H. Vogl and W. Weise, Progr. Part. Nucl. Phys., 27, 195 (1991).

    Google Scholar 

  6. S. Klevansky, Rev. Mod. Phys.,64, 649 (1992).

    Google Scholar 

  7. A. A. Andrianov and V. A. Andrianov, Z. Phys., C55, 435 (1992); Theor. Math. Phys., 93, 1126 (1992); Zap. Nauch. Semin. POMI, 199, 3 (1992).

    Google Scholar 

  8. J. Bijnens, C. Bruno, and E. de Rafael, Nucl. Phys., B390, 501 (1993).

    Google Scholar 

  9. T. Hatsuda and T. Kunihiro, Phys. Rept., 247, 221 (1994).

    Google Scholar 

  10. D. Ebert, H. Reinhardt, and M.K. Volkov, Progr. Part. Nucl. Phys., 33, 1 (1994).

    Google Scholar 

  11. J. Bijnens, Phys. Rept., 265, 369 (1996).

    Google Scholar 

  12. K. Hagiwara et al., Phys. Rev., D66 (2002), 010001.

    Google Scholar 

  13. A. A. Andrianov and V. A. Andrianov, Nucl. Phys. Proc. Suppl., 39BC, 257 (1995).

    Google Scholar 

  14. E. Pallante and R. Petronzio, Z. Phys.,C65, 487 (1995).

    Google Scholar 

  15. A. A. Andrianov, V. A. Andrianov, and V. L. Yudichev, Theor. Math. Phys., 108, 1069 (1996).

    Google Scholar 

  16. M. K. Volkov and C. Weiss, Phys. Rev., D56, 221 (1997).

    Google Scholar 

  17. M. K. Volkov, D. Ebert, and M. Nagy, Int. J. Mod. Phys., A13, 5443 (1998).

    Google Scholar 

  18. D. Espriu, E. de Rafael, and J. Taron, Nucl. Phys., B345, 22 (1990); erratum ibid. B355, 278 (1991).

    Google Scholar 

  19. G. t'Hooft, Nucl. Phys., B72, 461 (1974); E. Witten, Nucl. Phys., B160, 57 (1979).

  20. M. A. Shifman, A. I. Vainstein, and V. I. Zakharov, Nucl. Phys., B147, 385, 448 (1979).

    Google Scholar 

  21. A. A. Andrianov and V. A. Andrianov, Zap. Nauch. Semin. POMI, 245, 5 (1996);hep-ph/9705364.

    Google Scholar 

  22. M. Knecht and E. de Rafael, Phys. Lett., B424, 335 (1998).

    Google Scholar 

  23. S. Peris, M. Perrottet, and E. de Rafael, JHEP, 05, 011 (1998).

    Google Scholar 

  24. B. L. Ioffe and K. N. Zyablyuk, hep-ph/0010089.

  25. A. A. Andrianov, V. A. Andrianov, and S. S. Afonin, in: Proc.15th Int.Workshop on High Energy Physics and Quantum Field Theory (Tver,2000), M. N. Dubinin and V. I. Savrin (eds.), Moscow (2001),p.233; hep-ph/0101245.

  26. A. A. Andrianov and V. A. Andrianov, in: Proc. Int.Workshop on Hadron Physics (Coimbra, 1999), A. H. Blin et al.(eds.) (2000), p.328; hep-ph/9911383.

  27. A. A. Andrianov, V. A. Andrianov, and S. S. Afonin, in: Proc.16th Int.Workshop on High Energy Physics and Quantum Field Theory (Moscow, 2001), M. N. Dubinin and V. I. Savrin (eds.) (2002), p.254.

  28. A. A. Andrianov, V. A. Andrianov, and S. S. Afonin, in: Proc.12th Int. Sem. on High Energy Physics QUARKS' 2002 (Novgorod, 2002), to be published; hep-ph/0209260.

  29. V. A. Andrianov and S. S. Afonin, Yad. Fiz., 65, 1 (2002); hep-ph/0109026.

    Google Scholar 

  30. V. V. Anisovich, hep-ph/0110326.

  31. V. V. Anisovich, Phys. Rev., D62 (2000), 051502.

    Google Scholar 

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Andrianov, V.A., Afonin, S.S. Vector Particles in Quasilocal Quark Models. Journal of Mathematical Sciences 125, 99–110 (2005). https://doi.org/10.1023/B:JOTH.0000049562.54905.ff

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