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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.11435 |
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| _version_ | 1866909824362479616 |
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| author | Vo, Hai H. Markowich, Olivia M. Hu, Angeline Nguyen, Nguyen H. Phan, Trung V. |
| author_facet | Vo, Hai H. Markowich, Olivia M. Hu, Angeline Nguyen, Nguyen H. Phan, Trung V. |
| contents | We study the size and shape statistics of ground state fuzzy spheres when projected onto the transverse plane, utilizing the regularized SU(N=2) matrix model in D=(1+3)-dimensional spacetime. We show that they appear as ellipses, from matrix/membrane correspondence. With our numerical and analytical approximation for the ground state wavefunction, we provide estimations for their expectation surface areas, perimeters, eccentricities, and shape-parameters. These geometric constants of quantum membranes deviate drastically from classical mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11435 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Size and Shape of Fuzzy Spheres from Matrix/Membrane Correspondence Vo, Hai H. Markowich, Olivia M. Hu, Angeline Nguyen, Nguyen H. Phan, Trung V. Quantum Physics High Energy Physics - Theory We study the size and shape statistics of ground state fuzzy spheres when projected onto the transverse plane, utilizing the regularized SU(N=2) matrix model in D=(1+3)-dimensional spacetime. We show that they appear as ellipses, from matrix/membrane correspondence. With our numerical and analytical approximation for the ground state wavefunction, we provide estimations for their expectation surface areas, perimeters, eccentricities, and shape-parameters. These geometric constants of quantum membranes deviate drastically from classical mechanics. |
| title | Size and Shape of Fuzzy Spheres from Matrix/Membrane Correspondence |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.11435 |