Quantum energy inequalities in integrable models with several particle species and bound states
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929234845368320 |
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| author | Bostelmann, Henning Cadamuro, Daniela Mandrysch, Jan |
| author_facet | Bostelmann, Henning Cadamuro, Daniela Mandrysch, Jan |
| contents | We investigate lower bounds to the time-smeared energy density, so-called quantum energy inequalities (QEI), in the class of integrable models of quantum field theory. Our main results are a state-independent QEI for models with constant scattering function and a QEI at one-particle level for generic models. In the latter case, we classify the possible form of the stress-energy tensor from first principles and establish a link between the existence of QEIs and the large-rapidity asymptotics of the two-particle form factor of the energy density. Concrete examples include the Bullough-Dodd, the Federbush, and the $O(n)$-nonlinear sigma models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_00063 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum energy inequalities in integrable models with several particle species and bound states Bostelmann, Henning Cadamuro, Daniela Mandrysch, Jan Mathematical Physics High Energy Physics - Theory We investigate lower bounds to the time-smeared energy density, so-called quantum energy inequalities (QEI), in the class of integrable models of quantum field theory. Our main results are a state-independent QEI for models with constant scattering function and a QEI at one-particle level for generic models. In the latter case, we classify the possible form of the stress-energy tensor from first principles and establish a link between the existence of QEIs and the large-rapidity asymptotics of the two-particle form factor of the energy density. Concrete examples include the Bullough-Dodd, the Federbush, and the $O(n)$-nonlinear sigma models. |
| title | Quantum energy inequalities in integrable models with several particle species and bound states |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2302.00063 |