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Statistical mechanics of instantons in quantum chromodynamics

Antal Jevicki*

  • The Institute for Advanced Study, School of Natural Sciences, Princeton, New Jersey 08540

  • *Present address: Department of Physics, Brown University, Providence, Rhode Island 02912.
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Phys. Rev. D 21, 992 – Published 15 February, 1980

DOI: https://doi.org/10.1103/PhysRevD.21.992

Abstract

We develop a field-theoretic method to investigate the statistical mechanics associated with the instanton-antiinstanton ensemble in Yang-Mills gauge theory. This consists in exact rewriting of the partition function in terms of collective fields and incorporation of short-range forces. In the framework of this effective field theory we clarify the meaning of the continuum medium approximation introduced recently by Callan, Dashen, and Gross. Furthermore, we present a direct treatment of the first-order liquid-gas phase transition which is ultimately responsible for bag creation in quantum chromodynamics.

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References (27)

  1. A. Belavin, A. Polyakov, A. Schwartz, and Y. Tyupkin, Phys. Lett. 59B, 85 (1975)
  2. G. 't Hooft, Phys. Rev. Lett. 37, 8 (1976) C. Callan, R. Dashen, and D. Gross, Phys. Lett. 63B, 334 (1976) R. Jackiw and C. Rebbi, Phys. Rev. Lett. 37, 172 (1976)
  3. A. Polyakov, Nucl. Phys. B120, 429 (1977)
  4. C. Callan, R. Dashen, and D. Gross, Phys. Rev. D 17, 2717 (1978)
  5. C. Callan, R. Dashen, and D. Gross, Phys. Rev. D 19, 1826 (1979)
  6. E. V. Shuryak, Phys. Lett. 78B, 150 (1978)
  7. A. D'Adda, P. Di Vecchia, and M. Lüscher, Nucl. Phys. B146, 63 (1978)
  8. E. Witten, Nucl. Phys. B149, 285 (1979)
  9. A. Jevicki, Phys. Rev. D 20, 3331 (1979) [10,11]
  10. B. Berg and M. Lüscher, DESY report, 1979 (unpublished)
  11. I. V. Frolov and A. S. Shvarts, Pis'ma Zh. Eksp. Teor. Fiz. 28, 274 (1978) [JETP Lett. 28, 249 (1978)] V. A. Fateev, I. V. Frolov, and A. S. Schwarz (unpublished)
  12. F. Wiegel, Phys. Rep. 16C, 1 (1975)
  13. D. Förster, Nucl. Phys. B130, 38 (1977)
  14. G. Nienhuis and J. M. Deutch, J. Chem. Phys. 56, 5511 (1972) ibid.56, 235 (1972)
  15. J. S. Hoye and G. Stell, J. Chem. Phys. 61, 562 (1974)
  16. D. Bohm and E. P. Gross, Phys. Rev. 75, 1851 (1949) D. Bohm and D. Pines, ibid. 85, 338 (1952)
  17. N. Bogoliubov and D. Zubarev, Zh. Eksp. Teor. Fiz. 28, 129 (1955) [Sov. Phys.—JETP 1, 83 (1955)] D. Zubarev, Dok. Akad. Nauk SSSR 95, 757 (1954)
  18. G. 't Hooft, Phys. Rev. D 14, 3432 (1976)
  19. J. L. Gervais, A. Neveu, and M. Virasovo, Nucl. Phys. B138, 45 (1978)
  20. L. Brown and D. Creamer, Phys. Rev. D 18, 2013 (1978) H. Levine and L. Yaffe, ibid. 19, 1225 (1979)
  21. J. K. Percus, in The Equilibrium Theory of Classical Fluids, edited by H. L. Frisch and J. L. Lebowitz (Benjamin, New York, 1964)
  22. M. S. Wertheim, J. Chem. Phys. 55, 4291 (1971)
  23. J. J. Weis, in Macroscopic Structure and Dynamics of Liquids, edited by J. Dupuy and A. J. Dianoux (Plenum, New York, 1978), Vol. 33
  24. J. Jalickee, A. Siegert, and D. Vezzett, J. Math. Phys. 10, 1442 (1969)
  25. C. Callan, R. Dashen, and D. Gross, Phys. Rev. D 20, 3279 (1979)
  26. J. Kogut, R. Pearson, and J. Shigemitsu, Phys. Rev. Lett. 43, 484 (1979)
  27. M. B. Halpern, A. Jevicki, and P. Senjanovic̀, Phys. Rev. D 16, 2476 (1977)

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Phys. Rev. D 21, 992– Published 15 February, 1980
  • Received 2 October 1979

© 1980 American Physical Society

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