dorsal/arxiv
View SchemaNovel integrable spin-particle models from gauge theories on a cylinder
| Authors | Jonas Blom, Edwin Langmann |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9804007 |
| URL | https://arxiv.org/abs/solv-int/9804007 |
| DOI | 10.1016/S0370-2693(98)00505-X |
| Journal | Phys. Lett. B, 429 (1998) 336-342 |
Abstract
We find and solve a large class of integrable dynamical systems which includes Calogero-Sutherland models and various novel generalizations thereof. In general they describe $N$ interacting particles moving on a circle and coupled to an arbitrary number, $m$, of $su(N)$ spin degrees of freedom with interactions which depend on arbitrary real parameters $x_j$, $j=1,2,...,m$. We derive these models from SU(N) Yang-Mills gauge theory coupled to non-dynamic matter and on spacetime which is a cylinder. This relation to gauge theories is used to prove integrability, to construct conservation laws, and solve these models.
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"abstract": "We find and solve a large class of integrable dynamical systems which\nincludes Calogero-Sutherland models and various novel generalizations thereof.\nIn general they describe $N$ interacting particles moving on a circle and\ncoupled to an arbitrary number, $m$, of $su(N)$ spin degrees of freedom with\ninteractions which depend on arbitrary real parameters $x_j$, $j=1,2,...,m$. We\nderive these models from SU(N) Yang-Mills gauge theory coupled to non-dynamic\nmatter and on spacetime which is a cylinder. This relation to gauge theories is\nused to prove integrability, to construct conservation laws, and solve these\nmodels.",
"arxiv_id": "solv-int/9804007",
"authors": [
"Jonas Blom",
"Edwin Langmann"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1016/S0370-2693(98)00505-X",
"journal_ref": "Phys. Lett. B, 429 (1998) 336-342",
"title": "Novel integrable spin-particle models from gauge theories on a cylinder",
"url": "https://arxiv.org/abs/solv-int/9804007"
},
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