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Fermions in random gauge fields and chiral-symmetry breaking

  • Elementary Particles and Fields
  • Theory
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Abstract

Random superpositions of gauge fields such that a fermion can propagate in them along the same one-dimensional trajectory in four-dimensional space over arbitrary distances without reduction of the amplitude are considered. Conditions are found under which such structures possess a finite density of fermion zero modes. The possibility of chiral-symmetry breaking in these configurations of gauge fields is explored.

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References

  1. J. Greensite, hep-lat/0301023.

  2. D. I. D'yakonov and V. I. Petrov, Zh. Éksp. Teor. Fiz. 89, 361 (1985) [Sov. Phys. JETP 62, 204 (1985)].

    ADS  Google Scholar 

  3. L. D. Faddeev and A. A. Slavnov, Gauge Fields: An Introduction to Quantum Theory (Nauka, Moscow, 1978; Addison Wesley, Redwood City, 1991).

    Google Scholar 

  4. M. Engelhardt and H. Reinhardt, Nucl. Phys. B 567, 249 (2000); hep-th/9907139.

    Article  MathSciNet  MATH  Google Scholar 

  5. H. Reinhardt and T. Tok, Phys. Lett. B 505, 131 (2001).

    MathSciNet  ADS  MATH  Google Scholar 

  6. H. Reinhardt, T. Tok, O. Schröder, and V. Zhukovsky, hep-th/0203012; Phys. Rev. D 66, 085004 (2002).

    Google Scholar 

  7. V. Ch. Zhukovsky and I. V. Mamsurov, Vestn. Mos. Gos. Univ., Ser. 3: Fiz., Astron., No. 3, 31 (2001).

  8. C. Adam, B. Muratori, and C. Nash, Phys. Rev. D 62, 085026 (2000); hep-th/9903040v2; hep-th/9909189v2.

  9. G. Tiktopoulos, Phys. Rev. D 35, 732 (1987).

    Article  ADS  Google Scholar 

  10. U. Sharan, hep-lat/9910038.

  11. T. Banks and A. Casher, Nucl. Phys. B 169, 103 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  12. A. A. Sokolov, I. M. Ternov, V. Ch. Zhukovsky, and A. V. Borisov, Gauge Fields (MGU, Moscow, 1986) [in Russian].

    Google Scholar 

  13. M. F. Atiyah, V. Patodi, and I. M. Singer, Math. Proc. Cambridge Philos. Soc. 79, 71 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  14. R. Jackiw and So-Young Pi, Phys. Rev. D 61, 105015 (2000); hep-th/9808036.

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Translated from Yadernaya Fizika, Vol. 67, No. 12, 2004, pp. 2285–2296.

Original Russian Text Copyright © 2004 by Zhukovsky, Tarasov.

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Zhukovsky, V.C., Tarasov, O.V. Fermions in random gauge fields and chiral-symmetry breaking. Phys. Atom. Nuclei 67, 2260–2271 (2004). https://doi.org/10.1134/1.1842305

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  • DOI: https://doi.org/10.1134/1.1842305

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