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Article overview
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Pure connection gravity at one loop: Instanton background | | Kai Groh
; Kirill Krasnov
; Christian F. Steinwachs
; | | Date: |
25 Apr 2013 | | Abstract: | In the "pure connection" formulation General Relativity becomes a particular
diffeomorphism invariant SL(2) gauge theory. Using this formalism, we compute
the divergent contributions to the gravitational one-loop effective action.
Calculations of the on-shell effective action simplify greatly if one
specialises to an instanton background where only the anti-self-dual part of
the Weyl curvature is non-vanishing. One of the most striking features of the
connection formulation is that the (linearised) Euclidean action is
non-negative, unlike in the metric case. As in the metric GR, we find the
logarithmically divergent contribution to consist of the volume and Euler
character terms, but the arising numerical constants are different. However,
surprisingly, the difference between the two results turns out to be always an
integer. This suggests that there exists a relation between the connection and
metric based quantum theories. | | Source: | arXiv, 1304.6946 | | Services: | Forum | Review | PDF | Favorites | |
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