Renormalisation of the 3D SU(N) scalar energy-momentum tensor using the Wilson flow
| Autor: | Joseph Lee, Elizabeth Dobson, Andreas Juttner, Ben Kitching-Morley, Valentin Nourry, Antonin Portelli, Henrique Bergallo Rocha, Kostas Skenderis, Luigi Del Debbio |
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| Přispěvatelé: | AstroParticule et Cosmologie (APC (UMR_7164)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité) |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
High Energy Physics - Theory
cosmological model dimension: 3 High Energy Physics::Lattice hep-lat FOS: Physical sciences flow: Wilson renormalization High Energy Physics - Lattice mixing correlation function cosmic background radiation: power spectrum numerical calculations lattice SU(N) [PHYS.HLAT]Physics [physics]/High Energy Physics - Lattice [hep-lat] [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] hep-th High Energy Physics - Lattice (hep-lat) field theory: nonperturbative Particle Physics - Lattice High Energy Physics - Theory (hep-th) tensor: energy-momentum duality holography Particle Physics - Theory |
| Zdroj: | Lee, J, Dobson, E, Juttner, A, Kitching-Morley, B, Nourry, V, Portelli, A, Rocha, H B, Skenderis, K & Debbio, L D 2022, Renormalisation of the 3D SU(N) scalar energy-momentum tensor using the Wilson flow . in Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021) . vol. 396, Proceedings of Science, Sissa Medialab Srl, pp. 1-10, The 38th International Symposium on Lattice Field Theory, Cambridge, Massachusetts, United States, 26/07/21 . https://doi.org/10.22323/1.396.0313 PoS 38th International Symposium on Lattice Field Theory 38th International Symposium on Lattice Field Theory, Jul 2021, Online, United States. pp.313, ⟨10.22323/1.396.0313⟩ |
| DOI: | 10.22323/1.396.0313 |
| Popis: | In the holographic approach to cosmology, cosmological observables are described in terms of correlators of a three-dimensional boundary quantum field theory. As a concrete model, we study the $3D$ massless $SU(N)$ scalar matrix field theory with a $\phi^4$ interaction. On the lattice, the energy-momentum tensor (EMT) in this theory can mix with the operator $\phi^2$. We utilize the Wilson Flow to renormalize the EMT on the lattice, and present numerical results for the mixing coefficient for $N = 2$. Obtaining the renormalized EMT will allow us to make predictions for the CMB power spectra in the regime where the dual QFT is non-perturbative. Comment: 10 pages, 3 figures, presented at the 38th International Symposium on Lattice Field Theory - LATTICE2021 - 26-30 July, 2021, Massachusetts Institute of Technology |
| Databáze: | OpenAIRE |
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