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.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
A. A. Slavnov, JHEP, 0808, 047 (2008).
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).
M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory, Addison-Wesley, Reading, Mass. (1995).
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 161, No. 1, pp. 37–45, October, 2009.
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
- gauge invariance
- Yang-Mills theory
- perturbation theory
- one-loop counterterm