Collective field theory of gauged multi-matrix models: Integrating out off-diagonal strings
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915776436371456 |
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| author | Brahma, Suddhasattwa Brandenberger, Robert Dasgupta, Keshav Lei, Yue Pasiecznik, Julia |
| author_facet | Brahma, Suddhasattwa Brandenberger, Robert Dasgupta, Keshav Lei, Yue Pasiecznik, Julia |
| contents | We study a two-matrix toy model with a BFSS-like interaction term using the collective field formalism. The main technical simplification is obtained by gauge-fixing first, and integrating out the off-diagonal elements, before changing to the collective field variable. We show that the resulting $(2+1)$-dimensional collective field action has novel features with respect to non-locality, and that we need to add a mass term to get a time-local potential. As is expected, one recovers the single matrix quantum mechanical collective field Hamiltonian in the proper limit. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_10880 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Collective field theory of gauged multi-matrix models: Integrating out off-diagonal strings Brahma, Suddhasattwa Brandenberger, Robert Dasgupta, Keshav Lei, Yue Pasiecznik, Julia High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum Physics We study a two-matrix toy model with a BFSS-like interaction term using the collective field formalism. The main technical simplification is obtained by gauge-fixing first, and integrating out the off-diagonal elements, before changing to the collective field variable. We show that the resulting $(2+1)$-dimensional collective field action has novel features with respect to non-locality, and that we need to add a mass term to get a time-local potential. As is expected, one recovers the single matrix quantum mechanical collective field Hamiltonian in the proper limit. |
| title | Collective field theory of gauged multi-matrix models: Integrating out off-diagonal strings |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2411.10880 |