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Quantization of non-Abelian gauge fields beyond the perturbation theory framework

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Abstract

We propose a new procedure for quantizing gauge fields that allows avoiding Gribov ambiguities and is therefore applicable outside the perturbation theory framework. We use this procedure to construct a gauge-invariant infrared regularization of the Yang-Mills theory.

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References

  1. L. D. Faddeev and V. N. Popov, Phys. Lett. B, 25, 29–30 (1967).

    Article  ADS  Google Scholar 

  2. B. S. DeWitt, Phys. Rev., 160, 1113–1148 (1967); 162, 1195–1239 (1962).

    Article  ADS  MATH  Google Scholar 

  3. V. N. Gribov, Nucl. Phys. B, 139, 1–19 (1978).

    Article  ADS  MathSciNet  Google Scholar 

  4. I. Singer, Commun. Math. Phys., 60, 7–12 (1978).

    Article  ADS  MATH  Google Scholar 

  5. D. Zwanziger, Nucl. Phys. B, 321, 591–604 (1989); 323, 513–544 (1989).

    Article  ADS  MathSciNet  Google Scholar 

  6. A. A. Slavnov and L. D. Faddeev, Theor. Math. Phys., 3, 312–316 (1971).

    Article  Google Scholar 

  7. A. A. Slavnov, JHEP, 0808, 047 (2008).

    Article  ADS  MathSciNet  Google Scholar 

  8. A. A. Slavnov, Theor. Math. Phys., 161, 1497–1502 (2009).

    Article  MATH  MathSciNet  Google Scholar 

  9. A. Quadri and A. A. Slavnov, JHEP, 1007, 087 (2010).

    Article  ADS  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Steklov Mathematical Institute, RAS, Moscow, Russia

    A. A. Slavnov

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  1. A. A. Slavnov
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Correspondence to A. A. Slavnov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 181, No. 1, pp. 200–205, October, 2014.

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Slavnov, A.A. Quantization of non-Abelian gauge fields beyond the perturbation theory framework. Theor Math Phys 181, 1302–1306 (2014). https://doi.org/10.1007/s11232-014-0213-7

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  • DOI: https://doi.org/10.1007/s11232-014-0213-7

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