Spontaneous symmetry breaking in the BFSS model: analytical results using the Gaussian expansion method

We apply the Gaussian expansion method to the BFSS matrix model in the high temperature limit. When the (Euclidean) BFSS action is expanded about a Gaussian ansatz, it is shown that the SO(9) symmetry is spontaneously broken, analogous to what happens in the IKKT model. The analysis of the free ener...

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Autores principales: Brahma, Suddhasattwa, Brandenberger, Robert, Laliberte, Samuel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Regular Article - Theoretical Physics
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10560637/
https://www.ncbi.nlm.nih.gov/pubmed/37818177
http://dx.doi.org/10.1140/epjc/s10052-023-12082-w
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author Brahma, Suddhasattwa
Brandenberger, Robert
Laliberte, Samuel
author_facet Brahma, Suddhasattwa
Brandenberger, Robert
Laliberte, Samuel
author_sort Brahma, Suddhasattwa
collection PubMed
description We apply the Gaussian expansion method to the BFSS matrix model in the high temperature limit. When the (Euclidean) BFSS action is expanded about a Gaussian ansatz, it is shown that the SO(9) symmetry is spontaneously broken, analogous to what happens in the IKKT model. The analysis of the free energy, using the set of gap equations which determines the width of the Gaussian terms, is sufficient to show that this symmetry breaking happens only when the fermionic terms are included and is absent in the bosonic case.
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spelling pubmed-105606372023-10-10 Spontaneous symmetry breaking in the BFSS model: analytical results using the Gaussian expansion method Brahma, Suddhasattwa Brandenberger, Robert Laliberte, Samuel Eur Phys J C Part Fields Regular Article - Theoretical Physics We apply the Gaussian expansion method to the BFSS matrix model in the high temperature limit. When the (Euclidean) BFSS action is expanded about a Gaussian ansatz, it is shown that the SO(9) symmetry is spontaneously broken, analogous to what happens in the IKKT model. The analysis of the free energy, using the set of gap equations which determines the width of the Gaussian terms, is sufficient to show that this symmetry breaking happens only when the fermionic terms are included and is absent in the bosonic case. Springer Berlin Heidelberg 2023-10-08 2023 /pmc/articles/PMC10560637/ /pubmed/37818177 http://dx.doi.org/10.1140/epjc/s10052-023-12082-w Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.
spellingShingle Regular Article - Theoretical Physics
Brahma, Suddhasattwa
Brandenberger, Robert
Laliberte, Samuel
Spontaneous symmetry breaking in the BFSS model: analytical results using the Gaussian expansion method
title Spontaneous symmetry breaking in the BFSS model: analytical results using the Gaussian expansion method
title_full Spontaneous symmetry breaking in the BFSS model: analytical results using the Gaussian expansion method
title_fullStr Spontaneous symmetry breaking in the BFSS model: analytical results using the Gaussian expansion method
title_full_unstemmed Spontaneous symmetry breaking in the BFSS model: analytical results using the Gaussian expansion method
title_short Spontaneous symmetry breaking in the BFSS model: analytical results using the Gaussian expansion method
title_sort spontaneous symmetry breaking in the bfss model: analytical results using the gaussian expansion method
topic Regular Article - Theoretical Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10560637/
https://www.ncbi.nlm.nih.gov/pubmed/37818177
http://dx.doi.org/10.1140/epjc/s10052-023-12082-w
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