“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 15729
School of Particles and Accelerator
  Title:   BRST invariant RG flows
1.  Shima Sadat Asnafi
2.  Holger Gies
3.  Luca Zambelli
  Status:   Published
  Journal: Phys. Rev. D
  No.:  085009
  Vol.:  99
  Year:  2019
  Supported by:  IPM
A mass parameter for the gauge bosons in gauge-fixed four-dimensional Yang-Mills theory can be accommodated in a local and manifestly Becchi-Rouet-Stora-Tyutin invariant action. The construction is based on the Faddeev-Popov method involving a nonlinear gauge-fixing and a background Nakanishi-Lautrup field. When applied to momentum-dependent masslike deformations, this formalism leads to a full regularization of the theory which explicitly preserves Becchi-Rouet-Stora-Tyutin symmetry. We deduce a functional renormalization group equation for the one-particle-irreducible effective action, which has a one-loop form. The master equation is compatible with it�??i.e., Becchi-Rouet-Stora-Tyutin symmetry is preserved along the flow�??and it has a standard regulator-independent Zinn-Justin form. As a first application, we compute the leading-order gluon wave-function renormalization.

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