This article is cited in 3 papers

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

R. N. Baranov

M. V. Lomonosov Moscow State University, Moscow, Russia

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.

Keywords: gauge invariance, Yang–Mills theory, perturbation theory, one-loop counterterm.

Received: 05.02.2009

DOI: 10.4213/tmf6417

 English version: Theoretical and Mathematical Physics, 2009, 161:1, 1353–1360

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