Position-Space Renormalisation of the Energy-Momentum Tensor

Henrique Bergallo Rocha*, Luigi Del Debbio, Andreas Jüttner, Ben Kitching-Morley, Joseph K. L. Lee, Antonin Portelli, Kostas Skenderis

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

There is increasing interest in the study of nonperturbative aspects of three-dimensional quantum field theories (QFT). They appear as holographic dual to theories of (strongly coupled) gravity. For instance, in Holographic Cosmology, the two-point function of the Energy-Momentum Tensor (EMT) of a particular class of three-dimensional QFTs can be mapped into the power spectrum of the Cosmic Microwave Background in the gravitational theory. However, the presence of divergent contact terms poses challenges in extracting a renormalised EMT two-point function on the lattice. Using a $\phi^4$ theory of adjoint scalars valued in the $\mathfrak{su}(N)$ Lie Algebra as a proof-of-concept motivated by Holographic Cosmology, we apply a novel method for filtering out such contact terms by making use of infinitely differentiable "bump" functions which enforce a smooth window that excludes contributions at zero spatial separation. The process effectively removes the local contact terms and allows us to extract the continuum limit behaviour of the renormalised EMT two-point function.
Original languageEnglish
Title of host publicationProceedings for the 39th International Symposium on Lattice Field Theory
PublisherSissa Medialab Srl
Number of pages11
Publication statusPublished - 6 Apr 2023
Event39th International Symposium on Lattice Field Theory, LATTICE 2022 - Bonn, Germany
Duration: 8 Aug 202213 Aug 2022
Conference number: 39

Publication series

NameProceedings of Science
PublisherSissa Medilab
ISSN (Electronic)1824-8039


Conference39th International Symposium on Lattice Field Theory, LATTICE 2022
Internet address

Keywords / Materials (for Non-textual outputs)

  • hep-lat


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