1212.6077 (R. Parentani et al.)

Physical momentum representation of scalar field correlators in de
Sitter space    [PDF]

R. Parentani, J. Serreau

We propose a new approach to compute correlators of quantum fields in de Sitter space. It is based on nonequilibrium field theory techniques, and exploits de Sitter symmetries so as to partially reduce the number of independent variables of n-point functions in a manner that preserves the usefulness of a momentum representation, e.g., for writing spatial convolution integrals as simple products. In this representation, the two-point function of a scalar field only depend on two physical momenta, and the corresponding Schwinger-Dyson evolution equations take the form of momentum flow equations. Moreover, standard diagrammatic rules can be entirely formulated in this representation. The method is suitable for analytical approximations as well as numerical implementations. In a forthcoming publication, we apply it to resum infrared logarithmic terms appearing in perturbative calculation of the four-point vertex function.

View original: http://arxiv.org/abs/1212.6077