“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 12998
School of Particles and Accelerator
  Title:   Size of the Gribov region in curved spacetime
1.  Marco de Cesare
2.  Giampiero Esposito
3.  Hossein Ghorbani
  Status:   Published
  Journal: Phys. Rev. D
  No.:  087701
  Vol.:  88
  Year:  2013
  Supported by:  IPM
Recent work in the literature has argued that the joint effect of spacetime curvature and the Gribov ambiguity may introduce further modifications to the Green functions in the infrared. This paper focuses on a simple criterion for studying the effect of spacetime curvature on the size of the Gribov region, improving the accuracy of the previous analysis. It is shown that, depending on the sign of the scalar and Riemann curvature, the Gribov horizon moves inward or, instead, outward with respect to the case of flat spacetime. This is made clear by two novel inequalities, derived here for the first time

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