On the renormalization group for the interacting massive scalar field theory in curved space
High Energy Physics - Theory
2009-11-10 v1 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.hep-th/0311229,
title = {On the renormalization group for the interacting massive scalar field theory in curved space},
author = {Guilherme de Berredo-Peixoto and Eduard V. Gorbar and Ilya L. Shapiro},
journal= {arXiv preprint arXiv:hep-th/0311229},
year = {2009}
}
Comments
LaTeX, 12 pages, 4 figures