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Three-dimensional\((\psi \overline \psi )^2 \) model with an external non-abelian field, temperature and a chemical potentialmodel with an external non-abelian field, temperature and a chemical potential

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Il Nuovo Cimento A (1971-1996)

Summary

The phase structure of the four-fermion model (1) under the action of an external chromomagnetic fieldH, temperatureT and a chemical potential Μ has been studied in three dimensions. It has been shown that: 1) the conditionsH ⊋ 0,T, Μ = 0 lead unavoidably to a spontaneous breakdown of the chiral invariance; 2) the chiral symmetry can be restored at sufficiently largeT or Μ values. The expressions for the critical temperature and quark mass in the range of large and small external field values have been derived.

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References

  1. G. Semenoff andL. Wijewaedhana:Phys. Rev. Lett.,63, 2633 (1989); N. Dorey and N. Mavromatos:Phys. Lett. B,250, 107 (1990); M. Carena, T. E. Clark and C. E. M. Wagner:Nucl. Phys. B,356, 117 (1991).

    Article  ADS  Google Scholar 

  2. K. G. Klimenko:Z. Phys. C,37, 457 (1988); B. Rosenstein, B. J. Warr and S. H. Park:Phys. Rev. D,39, 3088 (1989).

    Article  ADS  Google Scholar 

  3. K. G. Klimenko:Z. Phys. C,54, 323 (1992).

    Article  ADS  MathSciNet  Google Scholar 

  4. I. V. Krive andS. A. Naftulin:Yad. Fiz. (Sov. J. Nucl. Phys.),54, 1471 (1991) (in Russian).

    Google Scholar 

  5. B. Rosenstein, B. J. Warr andS. H. Park:Phys. Rep.,205, 59 (1991).

    Article  ADS  Google Scholar 

  6. G. Baskaran andP. W. Anderson:Phys. Rev. B,37, 580 (1988); P. B. Wiegmann:Phys. Rev. Lett.,60, 821 (1988); E. Fradkin:Field Theories of Condensed Matter Systems (Addison-Wesley, New York, N.Y., 1991); G. Ferretti, S. G. Rajeevand and Z. Yang:Int. J. Mod. Phys. A,7, 7989 (1992).

    Article  ADS  Google Scholar 

  7. R. P. Feynman:Nucl. Phys. B,188, 479 (1981).

    Article  ADS  Google Scholar 

  8. H. D. Trottier:Phys. Rev. D,44, 464 (1991).

    Article  ADS  Google Scholar 

  9. G. Matinyan andG. K. Sawidy:Nucl. Phys. B,134, 539 (1978); N. K. Nielsen and P. Olesen:Nucl. Phys. B,144, 376 (1978).

    Article  ADS  Google Scholar 

  10. M. K. Volkov:Sov. J. Part. Nucl,17, 186 (1986).

    Google Scholar 

  11. A. Cabo andA. E. Shabad:Tr. Fiz. Inst, Akad Nauk SSSR (Proceedings P. N. Lebedev Physics Institute),192, 153 (1988) (in Russian).

    Google Scholar 

  12. L. S. Brown andW. I. Weisberger:Nucl. Phys. B,157, 285 (1979); T. Saito and K. Shigemoto:Progr. Theor. Phys.,63, 256 (1980); A. S. Vshivtsev, V. Ch. Zhukovskii and A. O. Starinetes:Izv. Vyssh. Uchebn. Zaved., Fiz.,35, No. 11, 65 (1992) (in Russian).

    Article  ADS  Google Scholar 

  13. V. G. Bagrov, A. S. Vshivtsev andS. V. Ketov:Supplementary Topics to Mathematical Physics (Gauge Fields) (Tomsk University Press, Tomsk, 1990) (in Russian).

    Google Scholar 

  14. L. Dolan andR. Jackiw:Phys. Rev. D,9, 3320 (1974).

    Article  ADS  Google Scholar 

  15. D. Ebert andM. K. Volkov:Phys. Lett. B,272, 86 (1991).

    Article  ADS  Google Scholar 

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Klimenko, K.G., Magnitsky, B.V. & Vshivtsev, A.S. Three-dimensional\((\psi \overline \psi )^2 \) model with an external non-abelian field, temperature and a chemical potentialmodel with an external non-abelian field, temperature and a chemical potential. Nuov Cim A 107, 439–451 (1994). https://doi.org/10.1007/BF02831447

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  • DOI: https://doi.org/10.1007/BF02831447

PACS 11.10

PACS 11.90

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