English

A new diagrammatic representation for correlation functions in the in-in formalism

High Energy Physics - Theory 2014-01-17 v2 Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

Abstract

In this paper we provide an alternative method to compute correlation functions in the in-in formalism, with a modified set of Feynman rules to compute loop corrections. The diagrammatic expansion is based on an iterative solution of the equation of motion for the quantum operators with only retarded propagators, which makes each diagram intrinsically local (whereas in the standard case locality is the result of several cancellations) and endowed with a straightforward physical interpretation. While the final result is strictly equivalent, as a bonus the formulation presented here also contains less graphs than other diagrammatic approaches to in-in correlation functions. Our method is particularly suitable for applications to cosmology.

Keywords

Cite

@article{arxiv.hep-th/0611258,
  title  = {A new diagrammatic representation for correlation functions in the in-in formalism},
  author = {Marcello Musso},
  journal= {arXiv preprint arXiv:hep-th/0611258},
  year   = {2014}
}

Comments

14 pages, matches the published version. includes a modified version of axodraw.sty that works with the Revtex4 class