• Gauge invariance and renormalization schemes in quantum chromodynamics

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      https://www.ias.ac.in/article/fulltext/pram/017/06/0469-0480

    • Keywords

       

      Quantum chromodynamics; momentum subtraction; renormalization schemes; gauge invariance

    • Abstract

       

      A general analysis of the Slavnov-Taylor identity connecting the triple gluon and ghost-ghost-gluon vertices and its consequences for two momentum subtraction (symmetric and asymmetric) renormalization schemes are given. It is shown that in the asymmetric scheme proposed in this paper the relation $$Z_3 Z_{1^{ - 1} } = \tilde Z_8 \tilde Z_{1^{ - 1} }$$follows directly from the identity for a simple and natural definition of the renormalization constants. Explicit one-loop expressions for the renormalization constants $$\left( {Z_1 ,Z_3 ,\tilde Z_1 \tilde Z_3 } \right)$$in an arbitrary covariant gauge, including quark masses are given in support of the general analysis.

    • Author Affiliations

       

      A Dhar1 V Gupta1

      1. Tata Institute of Fundamental Research, Bombay - 400 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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