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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.21326 |
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| _version_ | 1866917465369346048 |
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| author | Karrila, Alex Virtanen, Tuomas Webb, Christian |
| author_facet | Karrila, Alex Virtanen, Tuomas Webb, Christian |
| contents | In this article, we initiate the study of operator product expansions (OPEs) for the sine-Gordon model. For simplicity, we focus on the model below the first threshold of collapse ($β<4π$) and on the singular terms in OPEs of derivative-type fields $\partial φ$ and $\bar\partialφ$. We prove that compared to corresponding free field OPEs, the sine-Gordon OPEs develop logarithmic singularities and generate Wick ordered exponentials. Our approach for proving the OPEs relies heavily on Onsager-type inequalities and associated moment bounds for GFF correlation functions involving Wick ordered exponentials of the free field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21326 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Operator product expansions of derivative fields in the sine-Gordon model Karrila, Alex Virtanen, Tuomas Webb, Christian Mathematical Physics Probability In this article, we initiate the study of operator product expansions (OPEs) for the sine-Gordon model. For simplicity, we focus on the model below the first threshold of collapse ($β<4π$) and on the singular terms in OPEs of derivative-type fields $\partial φ$ and $\bar\partialφ$. We prove that compared to corresponding free field OPEs, the sine-Gordon OPEs develop logarithmic singularities and generate Wick ordered exponentials. Our approach for proving the OPEs relies heavily on Onsager-type inequalities and associated moment bounds for GFF correlation functions involving Wick ordered exponentials of the free field. |
| title | Operator product expansions of derivative fields in the sine-Gordon model |
| topic | Mathematical Physics Probability |
| url | https://arxiv.org/abs/2503.21326 |