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The chiral symmetric transition phase in quantum chromodynamics

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Il Nuovo Cimento A (1965-1970)

Summary

We develop the gauge technique to investigate the Dyson-Schwinger equation for the quark propagator in quantum chromodynamics. We retain the transverse vertex function and extend the theory to finite temperatures. We demonstrate thatT cT F: Chiral-symmetry restoration cannot take place before quark liberation. We conclude that chiral-symmetry restoration occurs at some critical temperatureT c as a result of the infrared properties of the transverse vertex function whose presence is responsible for the broken symmetric solution at zero temperature.

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References

  1. For a review, seeW. Marciano andH. Pagels:Phys. Rep. C,36, 137 (1978).

    Article  ADS  Google Scholar 

  2. D. Gross, R. Pisarski andL. Yaffe:Rev. Mod. Phys.,53, 43 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  3. A. Polyakov:Phys. Lett. B,72, 477 (1978);L. Susskind:Phys. Rev. D,20, 2610 (1979).

    Article  MathSciNet  ADS  Google Scholar 

  4. P. Damgaard: CERN preprint, CERN-TH 4169/85, May 1985, to be published in theProceedings of Few and Many Quark Systems, Topical Seminar, San Miniato,Italy, 1985; see alsoD. Damgaard: CERN-TH 4224/85, 1985.

  5. C. Borgs andE. Seiler:Nucl. Physs. B,215, [FS7], 125 (1983);Commun. Math. Phys.,91, 329 (1983);E. Tomboulis andL. Yaffe:Phys. Rev. Lett. 52, 2115 (1984);J. Kogut et al.: Phys. Rev. Lett.,50, 393 (1983);P. Hassenfratz et al.: Phys. Lett. B,133, 221 (1983);A. Hosoya: FERMILAB-PUB-86/113, preprint, August 1986.

    Article  MathSciNet  ADS  Google Scholar 

  6. R. Pisarski andF. Wilczek:Phys. Rev. D,29, 338 (1984);J. Cleymans, R. Gavai andE. Suhonen:Phys. Rep.,130, 217 (1986);R. Pisarski:Phys. Rev. D,29, 1222 (1984);A. Goksch andF. Neri:Phys. Rev. Lett.,50, 1099 (1983);R. Pisarksi:Phys. Lett. B,110, 155 (1982).

    Article  ADS  Google Scholar 

  7. R. Acharya andP. Narayana Swamy:Nuovo Cimento A,86, 157 (985);Z. Phys. C,28, 463 (1985).

    Google Scholar 

  8. R. Acharya andP. Narayana Swamy: SIUE preprint, September 1988 andNuovo Cimento, to be published.

  9. M. Baker, J. Ball andF. Zachariasen:Phys. Rev. D,31, 2575 (1985);J. Ball andF. Zachariasen:Phys. Lett. B,106, 133 (1981);G. West:Phys. Lett. B,115, 468 (1982).

    Article  ADS  Google Scholar 

  10. R. Acharya andP. Narayana Swamy:Nuovo Cimento A,86, 157 (1985);Z. Phys. C,28, 463 (1985);Nuovo Cimento A,98, 773 (1987);100, 47 (1988).

    Article  ADS  Google Scholar 

  11. A. Salam:Phys. Rev.,130, 1287 (1963);R. Delburgo andP. West:Phys. Lett. B,72, 3413 (1974).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  12. J. Ball andF. Zachariasen:Phys. Lett. B,106, 133 (1981).

    Article  ADS  Google Scholar 

  13. J. Cornwall:Phys. Rev. D,22, 1452 (1980).

    Article  ADS  Google Scholar 

  14. J. Ball andT. Chiu:Phys. Rev. D,22, 2542 (1980).

    Article  ADS  Google Scholar 

  15. J. Corwall:Phys. Rev. D,26, 1453 (1982);J. King:Phys. Rev. D,27, 1821 (1983).

    Article  ADS  Google Scholar 

  16. R. Acharya andP. Narayana Swamy:Nuovo Cimento A,95, 229 (1986).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  18. J. Cornwall: inGauge Theories, Massive Neutrinos and Proton Decay, edited byA. Perlmutter (Plenum Publ. Corp., 1981), p. 141.

  19. Th. Maris, V. Herscovitz andG. Jacob:Phys. Rev. Lett.,12, 313 (1964).

    Article  MathSciNet  ADS  Google Scholar 

  20. R. Acharya andP. Narayana Swamy:Nuovo Cimento A,60, 265 (1980);Nuovo Cimento A,65, 125 (1981).

    Article  ADS  Google Scholar 

  21. For a model that leads toT c=T F≠0, seeM. Baker andF. Zachariasen:Phys. Rev. D,38, 1926 (1988).

    Article  ADS  Google Scholar 

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Acharya, R., Swamy, P.N. The chiral symmetric transition phase in quantum chromodynamics. Nuov Cim A 104, 521–530 (1991). https://doi.org/10.1007/BF02813588

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  • DOI: https://doi.org/10.1007/BF02813588

PACS 11.30.Qc

PACS 11.15

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