Gravitational form factors and decoupling in 2D

Abstract

We calculate and analyse non-local gravitational form factors induced by quantum matter fields in curved two-dimensional space. The calculations are performed for scalars, spinors and massive vectors by means of the covariant heat kernel method up to the second order in the curvature and confirmed using Feynman diagrams. The analysis of the ultraviolet (UV) limit reveals a generalized "running" form of the Polyakov action for a nonminimal scalar field and the usual Polyakov action in the conformally invariant cases. In the infrared (IR) we establish the gravitational decoupling theorem, which can be seen directly from the form factors or from the physical beta function for fields of any spin.

arXiv comment19 pages, v2: fixed corrupted labels

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Cited by in corpus (8)

• Form factors and decoupling of matter fields in four-dimensional gravity
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• Worldline Formalism in Snyder Spaces
• Ghost-free modification of the Polyakov action and Hawking radiation
• Universal definition of the non-conformal trace anomaly
• The search for the universality class of metric quantum gravity
• Renormalization of multicritical scalar models in curved space
• Effective gravitational action for 2D massive Majorana fermions on arbitrary genus Riemann surfaces