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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2023
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Materias: | |
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. |
format | Online Article Text |
id | pubmed-10560637 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
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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