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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.08441 |
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| _version_ | 1866913494828318720 |
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| author | Creminelli, Paolo Delladio, Matteo Janssen, Oliver Longo, Alessandro Senatore, Leonardo |
| author_facet | Creminelli, Paolo Delladio, Matteo Janssen, Oliver Longo, Alessandro Senatore, Leonardo |
| contents | We study the $S$-matrix of Goldstones in the renormalizable theory of a $U(1)$ complex scalar at finite charge, i.e. in a state that breaks Lorentz invariance. The theory is weakly coupled so that this $S$-matrix exists at all energies. Unlike the Lorentz invariant case, the resulting $S$-matrix is not analytic in the exchanged (complexified) four-momentum. The non-analyticities stem from the LSZ reduction formula, as a consequence of the energy-dependent mixing between the radial and Goldstone modes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_08441 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-analyticity of the $S$-matrix with spontaneously broken Lorentz invariance Creminelli, Paolo Delladio, Matteo Janssen, Oliver Longo, Alessandro Senatore, Leonardo High Energy Physics - Theory General Relativity and Quantum Cosmology We study the $S$-matrix of Goldstones in the renormalizable theory of a $U(1)$ complex scalar at finite charge, i.e. in a state that breaks Lorentz invariance. The theory is weakly coupled so that this $S$-matrix exists at all energies. Unlike the Lorentz invariant case, the resulting $S$-matrix is not analytic in the exchanged (complexified) four-momentum. The non-analyticities stem from the LSZ reduction formula, as a consequence of the energy-dependent mixing between the radial and Goldstone modes. |
| title | Non-analyticity of the $S$-matrix with spontaneously broken Lorentz invariance |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.08441 |