PIRSA:10100080

Video URL

https://pirsa.org/10100080

Ultraviolet Divergences in Cosmological Correlations

Weinberg, S. (2010). Ultraviolet Divergences in Cosmological Correlations. Perimeter Institute for Theoretical Physics. https://pirsa.org/10100080

Weinberg, Steven. Ultraviolet Divergences in Cosmological Correlations. Perimeter Institute for Theoretical Physics, Oct. 30, 2010, https://pirsa.org/10100080 

          @misc{ scivideos_PIRSA:10100080,
            doi = {10.48660/10100080},
            url = {https://pirsa.org/10100080},
            author = {Weinberg, Steven},
            keywords = {Cosmology},
            language = {en},
            title = {Ultraviolet Divergences in Cosmological Correlations},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2010},
            month = {oct},
            note = {PIRSA:10100080 see, \url{https://scivideos.org/pirsa/10100080}}
          }

Steven Weinberg University of Texas - Austin

Talk numberPIRSA:10100080
DOI10.48660/10100080
Source RepositoryPIRSA
Collection
Talk Type Conference
Subject

Abstract

A method is developed for dealing with ultraviolet divergences in calculations of cosmological correlations, which does not depend on dimensional regularization. An extended version of the WKB approximation is used to analyze the divergences in these calculations, and these divergences are controlled by the introduction of Pauli--Villars regulator fields. This approach is illustrated in the theory of a scalar field with arbitrary self-interactions in a fixed flat-space Robertson--Walker metric with arbitrary scale factor $a(t)$. Explicit formulas are given for the counterterms needed to cancel all dependence on the regulator properties, and an explicit prescription is given for calculating finite correlation functions.