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

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

2003-11-24

arxiv.org/abs/hep-th/0311229v1

Class.Quant.Grav. 21 (2004) 2281-2290

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 12 pages, 4 figures

Scientific paper

10.1088/0264-9381/21/9/005

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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