One loop MSbar gluon pole mass from the LCO formalism

Abstract

We compute the one loop corrections to the pole mass of the gluon in the MSbar scheme in the Landau gauge in both the Curci-Ferrari model and the local composite operator formalism with Nf flavours of massless quarks. For the latter we determine an estimate for the gluon mass using the effective potential of a local dimension two composite operator and find, for example, m_{gluon} = 2.10 Lambda_MSbar in Yang-Mills theory.

7 latex pages

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Cited by in corpus (13)

• The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge
• An analytic study of the off-diagonal mass generation for Yang-Mills theories in the maximal Abelian gauge
• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• A study of the gauge invariant, nonlocal mass operator $Tr\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in Yang-Mills theories
• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges
• Quantum properties of a non-Abelian gauge invariant action with a mass parameter
• Two loop MSbar gluon pole mass from the LCO formalism
• On the dynamical mass generation in confining Yang-Mills theories
• A combined study of the gluon and ghost condensates <A^2> and <epsilon^{abc} cbar^b c^c> in Euclidean SU(2) Yang-Mills theory in the Landau gauge
• Unitarity analysis of a non-Abelian gauge invariant action with a mass
• Renormalization group aspects of the local composite operator method
• Renormalizability of pure $\mathcal{N}=1$ Super Yang-Mills in the Wess-Zumino gauge in the presence of the local composite operators $A^2$ and $\bar{\lambda }\lambda$
• Covariant Mass and Geometrical setup in Euclidean gauge theories