Anyons and the elliptic Calogero-Sutherland model
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arXiv
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| Format: | Preprint |
| Published: |
2000
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| _version_ | 1866909469611393024 |
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| author | Langmann, Edwin |
| author_facet | Langmann, Edwin |
| contents | We obtain a second quantization of the elliptic Calogero-Sutherland (eCS) model by constructing a quantum field theory model of anyons on a circle and at a finite temperature. This yields a remarkable identity involving anyon correlation functions and providing an algorithm for solving of the eCS model. The eigenfunctions obtained define an elliptic generalization of the Jack polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_ph_0007036 |
| institution | arXiv |
| publishDate | 2000 |
| record_format | arxiv |
| spellingShingle | Anyons and the elliptic Calogero-Sutherland model Langmann, Edwin Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems 5Q58, 81T40, 17B69 We obtain a second quantization of the elliptic Calogero-Sutherland (eCS) model by constructing a quantum field theory model of anyons on a circle and at a finite temperature. This yields a remarkable identity involving anyon correlation functions and providing an algorithm for solving of the eCS model. The eigenfunctions obtained define an elliptic generalization of the Jack polynomials. |
| title | Anyons and the elliptic Calogero-Sutherland model |
| topic | Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems 5Q58, 81T40, 17B69 |
| url | https://arxiv.org/abs/math-ph/0007036 |