Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

One-loop counterterms in the Yang-Mills theory with a gauge-invariant ghost field Lagrangian

Abstract

We calculate the one-loop renormalization constants Z 1 and Z 2 in the model with a gauge-invariant ghost field Lagrangian. We show that the model is asymptotically free and that the renormalization constants satisfy the same equation as in the ordinary Yang-Mills theory.

This is a preview of subscription content, log in to check access.

References

  1. 1.

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

  2. 2.

    A. A. Slavnov and L. D. Faddeev, Introduction to Quantum Theory of Gauge Fields [in Russian], Nauka, Moscow (1988); English transl.: Gauge Fields: Introduction to Quantum Theory (Front. Phys., Vol. 83), Addison-Wesley, Redwood City, Calif. (1991).

  3. 3.

    M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory, Addison-Wesley, Reading, Mass. (1995).

Download references

Author information

Correspondence to R. N. Baranov.

Additional information

__________

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 161, No. 1, pp. 37–45, October, 2009.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Baranov, R.N. One-loop counterterms in the Yang-Mills theory with a gauge-invariant ghost field Lagrangian. Theor Math Phys 161, 1353 (2009). https://doi.org/10.1007/s11232-009-0121-4

Download citation

Keywords

  • gauge invariance
  • Yang-Mills theory
  • perturbation theory
  • one-loop counterterm