Energy-momentum correlators of fermions at finite temperature and density
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909327887958016 |
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| author | Dey, Sourav Bhadury, Samapan Florkowski, Wojciech Ryblewski, Radoslaw Jaiswal, Amaresh |
| author_facet | Dey, Sourav Bhadury, Samapan Florkowski, Wojciech Ryblewski, Radoslaw Jaiswal, Amaresh |
| contents | Equal-time commutators of different components of the energy-momentum tensor at spatially separated points are calculated for a relativistic quantum Fermi gas at finite temperature and density. Different definitions of such components, also known as different pseudogauges, are used and smeared with a Gaussian profile characterized by the width $σ$. In this way, we introduce observables that may represent measurements of energy and momentum in a spatial region of size $σ$. We find that the obtained commutators are sensitive to the pseudogauge chosen if the probed systems or the spatial separation are small. The pseudogauge dependence is expected as different quantum operators are analyzed in this case. On the other hand, we find that for sufficiently large probed systems or with large separation, the studied commutators are pseudogauge independent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18912 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Energy-momentum correlators of fermions at finite temperature and density Dey, Sourav Bhadury, Samapan Florkowski, Wojciech Ryblewski, Radoslaw Jaiswal, Amaresh High Energy Physics - Phenomenology Quantum Gases High Energy Physics - Theory Nuclear Theory Equal-time commutators of different components of the energy-momentum tensor at spatially separated points are calculated for a relativistic quantum Fermi gas at finite temperature and density. Different definitions of such components, also known as different pseudogauges, are used and smeared with a Gaussian profile characterized by the width $σ$. In this way, we introduce observables that may represent measurements of energy and momentum in a spatial region of size $σ$. We find that the obtained commutators are sensitive to the pseudogauge chosen if the probed systems or the spatial separation are small. The pseudogauge dependence is expected as different quantum operators are analyzed in this case. On the other hand, we find that for sufficiently large probed systems or with large separation, the studied commutators are pseudogauge independent. |
| title | Energy-momentum correlators of fermions at finite temperature and density |
| topic | High Energy Physics - Phenomenology Quantum Gases High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2409.18912 |