Formulation of fully covariant Quantum-Molecular Dynamics for an N-body system with scalar and vector potentials
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| Format: | Preprint |
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2025
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| _version_ | 1866914161954390016 |
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| author | Zhao, Jiaxing Aichelin, Joerg Bratkovskaya, Elena |
| author_facet | Zhao, Jiaxing Aichelin, Joerg Bratkovskaya, Elena |
| contents | We present a fully covariant transport framework for Molecular Dynamics that enables a consistent description of the evolution of relativistic N-body systems. For the first time, we derive relativistic equations of motion incorporating both scalar and vector interactions within a manifestly covariant formulation. This approach addresses several fundamental issues in relativistic many-body dynamics: the implications of different choices of time-constraints, the emergence of the non-relativistic limit, the frame independence of the system's evolution, and the distinct dynamical roles of scalar and vector potentials. These aspects are investigated in detail for the scattering of two- and four-body systems, offering new insights into the consistency and physical interpretation of relativistic interactions in a covariant setting. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_13975 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Formulation of fully covariant Quantum-Molecular Dynamics for an N-body system with scalar and vector potentials Zhao, Jiaxing Aichelin, Joerg Bratkovskaya, Elena Nuclear Theory High Energy Physics - Theory We present a fully covariant transport framework for Molecular Dynamics that enables a consistent description of the evolution of relativistic N-body systems. For the first time, we derive relativistic equations of motion incorporating both scalar and vector interactions within a manifestly covariant formulation. This approach addresses several fundamental issues in relativistic many-body dynamics: the implications of different choices of time-constraints, the emergence of the non-relativistic limit, the frame independence of the system's evolution, and the distinct dynamical roles of scalar and vector potentials. These aspects are investigated in detail for the scattering of two- and four-body systems, offering new insights into the consistency and physical interpretation of relativistic interactions in a covariant setting. |
| title | Formulation of fully covariant Quantum-Molecular Dynamics for an N-body system with scalar and vector potentials |
| topic | Nuclear Theory High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.13975 |