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The Schwinger-DeWitt technique for quantum effective action in brane induced gravity models | A.O.Barvinsky
; D.V.Nesterov
; | Date: |
30 Nov 2009 | Abstract: | We develop the Schwinger-DeWitt technique for the covariant curvature
expansion of the quantum effective action for brane induced gravity models in
curved spacetime. This expansion has a part nonanalytic in DGP type scale
parameter, leading to the cutoff scale which is given by the geometric average
of the mass of the quantum field in the bulk and DGP scale. This cutoff is much
higher than the analogous strong coupling scale of the DGP model treated by
weak field expansion in the tree-level approximation. The lowest orders of this
curvature expansion are calculated for the case of the scalar field in the
$(d+1)$-dimensional bulk with the brane carrying the $d$-dimensional kinetic
term of this field. The ultraviolet divergences in this model are obtained for
a particular case of $d=4$. | Source: | arXiv, 0911.5334 | Services: | Forum | Review | PDF | Favorites |
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