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| Format: | Preprint |
| Published: |
2023
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| Online Access: | https://arxiv.org/abs/2308.07574 |
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| _version_ | 1866911774494687232 |
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| author | Litvinova, Elena |
| author_facet | Litvinova, Elena |
| contents | Two-point fermionic propagators in strongly-correlated media are considered with an emphasis on the dynamical interaction kernels of their equations of motion (EOM). With the many-body Hamiltonian confined by a two-body interaction, the EOMs for the two-point fermionic propagators acquire the Dyson form and, before taking any approximation, the interaction kernels decompose into the static and dynamical (time-dependent) contributions. The latter translate to the energy-dependent and the former map to the energy-independent terms in the energy domain. We dwell particularly on the energy-dependent terms, which generate long-range correlations while making feedback on their short-range static counterparts. The origin, forms, and various approximations for the dynamical kernels of one-fermion and two-fermion propagators, most relevant in the intermediate-coupling regime, are discussed. Applications to the electromagnetic dipole response of $^{68,70}$Ni and low-energy quadrupole response of $^{114,116,124}$Sn are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_07574 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the dynamical kernels of fermionic equations of motion in strongly-correlated media Litvinova, Elena Nuclear Theory Other Condensed Matter Nuclear Experiment Two-point fermionic propagators in strongly-correlated media are considered with an emphasis on the dynamical interaction kernels of their equations of motion (EOM). With the many-body Hamiltonian confined by a two-body interaction, the EOMs for the two-point fermionic propagators acquire the Dyson form and, before taking any approximation, the interaction kernels decompose into the static and dynamical (time-dependent) contributions. The latter translate to the energy-dependent and the former map to the energy-independent terms in the energy domain. We dwell particularly on the energy-dependent terms, which generate long-range correlations while making feedback on their short-range static counterparts. The origin, forms, and various approximations for the dynamical kernels of one-fermion and two-fermion propagators, most relevant in the intermediate-coupling regime, are discussed. Applications to the electromagnetic dipole response of $^{68,70}$Ni and low-energy quadrupole response of $^{114,116,124}$Sn are presented. |
| title | On the dynamical kernels of fermionic equations of motion in strongly-correlated media |
| topic | Nuclear Theory Other Condensed Matter Nuclear Experiment |
| url | https://arxiv.org/abs/2308.07574 |