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

Guilherme de Berredo-Peixoto·Eduard V. Gorbar·Ilya L. Shapiro
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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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Guilherme de Berredo-Peixoto, Eduard V. Gorbar, Ilya L. Shapiro. 2003-11-24. On the renormalization group for the interacting massive scalar field theory in curved space. https://doi.org/10.1088/0264-9381%2F21%2F9%2F005

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