paper

On the renormalization group for the interacting massive scalar field theory in curved space

arXiv:hep-th/0311229 · doi:10.1088/0264-9381/21/9/005

Abstract

The effective action for the interacting massive scalar field in curved space-time is derived using the heat-kernel method. Starting from this effective action, we establish a smooth quadratic form of the low-energy decoupling for the four-scalar coupling constant and for the nonminimal interaction parameter. The evolution of this parameter from the conformal value 1/6 at high energies down to the IR regime is investigated within the two toy models with negative and positive four-scalar coupling constants.

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