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“School of Particles And Accelerator”

Paper   IPM / Particles And Accelerator / 15729
   School of Particles and Accelerator
  Title: BRST invariant RG flows
  Author(s):
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
  Abstract:
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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