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Renormalization of the $3D$$SU(N)$ scalar energy-momentum tensor using the Wilson flow
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-moment...
| Autores principales: | , , , , , , , , |
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| Lenguaje: | eng |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.22323/1.396.0313 http://cds.cern.ch/record/2802265 |
| _version_ | 1780972737210089472 |
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| author | Lee, Joseph K.L. Dobson, Elizabeth Jüttner, Andreas Kitching-Morley, Ben Nourry, Valentin Portelli, Antonin Rocha, Henrique Bergallo Skenderis, Kostas Del Debbio, Luigi |
| author_facet | Lee, Joseph K.L. Dobson, Elizabeth Jüttner, Andreas Kitching-Morley, Ben Nourry, Valentin Portelli, Antonin Rocha, Henrique Bergallo Skenderis, Kostas Del Debbio, Luigi |
| author_sort | Lee, Joseph K.L. |
| collection | CERN |
| description | 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. |
| id | cern-2802265 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2022 |
| record_format | invenio |
| spelling | cern-28022652023-06-29T03:37:39Zdoi:10.22323/1.396.0313http://cds.cern.ch/record/2802265engLee, Joseph K.L.Dobson, ElizabethJüttner, AndreasKitching-Morley, BenNourry, ValentinPortelli, AntoninRocha, Henrique BergalloSkenderis, KostasDel Debbio, LuigiRenormalization of the $3D$$SU(N)$ scalar energy-momentum tensor using the Wilson flowhep-thParticle Physics - Theoryhep-latParticle Physics - LatticeIn 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.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.arXiv:2202.03970oai:cds.cern.ch:28022652022-02-08 |
| spellingShingle | hep-th Particle Physics - Theory hep-lat Particle Physics - Lattice Lee, Joseph K.L. Dobson, Elizabeth Jüttner, Andreas Kitching-Morley, Ben Nourry, Valentin Portelli, Antonin Rocha, Henrique Bergallo Skenderis, Kostas Del Debbio, Luigi Renormalization of the $3D$$SU(N)$ scalar energy-momentum tensor using the Wilson flow |
| title | Renormalization of the $3D$$SU(N)$ scalar energy-momentum tensor using the Wilson flow |
| title_full | Renormalization of the $3D$$SU(N)$ scalar energy-momentum tensor using the Wilson flow |
| title_fullStr | Renormalization of the $3D$$SU(N)$ scalar energy-momentum tensor using the Wilson flow |
| title_full_unstemmed | Renormalization of the $3D$$SU(N)$ scalar energy-momentum tensor using the Wilson flow |
| title_short | Renormalization of the $3D$$SU(N)$ scalar energy-momentum tensor using the Wilson flow |
| title_sort | renormalization of the $3d$$su(n)$ scalar energy-momentum tensor using the wilson flow |
| topic | hep-th Particle Physics - Theory hep-lat Particle Physics - Lattice |
| url | https://dx.doi.org/10.22323/1.396.0313 http://cds.cern.ch/record/2802265 |
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