@inproceedings{43641919ea9944d899cc36f457d5bcdf,
title = "Position-Space Renormalisation of the Energy-Momentum Tensor",
abstract = "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.",
keywords = "hep-lat",
author = "Rocha, {Henrique Bergallo} and Debbio, {Luigi Del} and Andreas J{\"u}ttner and Ben Kitching-Morley and Lee, {Joseph K. L.} and Antonin Portelli and Kostas Skenderis",
note = "Funding Information: Discovery (CSD3), part of which is operated by the University of Cambridge Research Computing on behalf of the STFC DiRAC HPC Facility. The DiRAC component of CSD3 was funded by BEIS capital funding via STFC capital grants ST/P002307/1 and ST/R002452/1 and STFC operations grant ST/R00689X/1. DiRAC is part of the National e-Infrastructure. Funding Information: A. J. and K. S. acknowledge funding from STFC consolidated grants ST/ P000711/1 and ST/T000775/1. A.P. is supported in part by UK STFC grant ST/P000630/1. A.P. also received funding from the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation programme under grant agreements No 757646 & 813942. J. K. L. L., and H. B. R are funded in part by the European Research Council (ERC) under the European Unions Horizon 2020 research and innovation programme under Grant Agreement No. 757646. J. K. L. L. is also partly funded by the Croucher Foundation through the Croucher Scholarships for Doctoral Study. B. K. M. was supported by the EPSRC Centre for Doctoral Training in Next Generation Computational Modelling Grant No. EP/L015382/1. L. D. D. is supported by an STFC Consolidated Grant, ST/ P0000630/1, and a Royal Society Wolfson Research Merit Award, WM140078. Simulations produced for this work were performed using the Grid Library, which is free software under GPLv2. This work was performed using the Cambridge Service for Data Driven Funding Information: A. J. and K. S. acknowledge funding from STFC consolidated grants ST/P000711/1 and ST/T000775/1. A.P. is supported in part by UK STFC grant ST/P000630/1. A.P. also received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme under grant agreements No 757646 & 813942. J. K. L. L., and H. B. R are funded in part by the European Research Council (ERC) under the European Unions Horizon 2020 research and innovation programme under Grant Agreement No. 757646. J. K. L. L. is also partly funded by the Croucher Foundation through the Croucher Scholarships for Doctoral Study. B. K. M. was supported by the EPSRC Centre for Doctoral Training in Next Generation Computational Modelling Grant No. EP/L015382/1. L. D. D. is supported by an STFC Consolidated Grant, ST/P0000630/1, and a Royal Society Wolfson Research Merit Award, WM140078. Simulations produced for this work were performed using the Grid Library, which is free software under GPLv2. This work was performed using the Cambridge Service for Data Driven Discovery (CSD3), part of which is operated by the University of Cambridge Research Computing on behalf of the STFC DiRAC HPC Facility. The DiRAC component of CSD3 was funded by BEIS capital funding via STFC capital grants ST/P002307/1 and ST/R002452/1 and STFC operations grant ST/R00689X/1. DiRAC is part of the National e-Infrastructure. Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).; 39th International Symposium on Lattice Field Theory, LATTICE 2022 ; Conference date: 08-08-2022 Through 13-08-2022",
year = "2023",
month = apr,
day = "6",
doi = "10.22323/1.430.0205",
language = "English",
volume = "430",
series = "Proceedings of Science",
publisher = "Sissa Medialab Srl",
booktitle = "Proceedings for the 39th International Symposium on Lattice Field Theory",
address = "Italy",
url = "https://pos.sissa.it/cgi-bin/reader/family.cgi?code=lattice",
}