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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.05165 |
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| _version_ | 1866917621415280640 |
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| author | Kalikotay, Pallavi Ghosh, Snigdha Chaudhuri, Nilanjan Roy, Pradip Sarkar, Sourav |
| author_facet | Kalikotay, Pallavi Ghosh, Snigdha Chaudhuri, Nilanjan Roy, Pradip Sarkar, Sourav |
| contents | We evaluate the electrical conductivity and shear viscosity of a interacting pion gas in a thermo-magnetic medium using the kinetic theory. The collision term of the relativistic Boltzmann transport equation in presence of background magnetic field is solved using the relaxation time approximation. The medium modified relaxation time is obtained from the corresponding in-medium $ππ\rightarrow ππ$ scattering cross-section calculated using the thermo-magnetic $ρ$ propagator. It is observed that the average relaxation time shows a $1/T^4$ variation with temperature for a fixed value of magnetic field. The relaxation time shows a mild oscillatory variation with respect to the magnetic field. It is also observed that the medium dependent scattering cross-section causes a considerable amount of influence on the electrical conductivity and shear viscosity compared to its vacuum counterpart. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05165 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electrical conductivity and shear viscosity of a pion gas in a thermo-magnetic medium Kalikotay, Pallavi Ghosh, Snigdha Chaudhuri, Nilanjan Roy, Pradip Sarkar, Sourav Nuclear Theory High Energy Physics - Phenomenology We evaluate the electrical conductivity and shear viscosity of a interacting pion gas in a thermo-magnetic medium using the kinetic theory. The collision term of the relativistic Boltzmann transport equation in presence of background magnetic field is solved using the relaxation time approximation. The medium modified relaxation time is obtained from the corresponding in-medium $ππ\rightarrow ππ$ scattering cross-section calculated using the thermo-magnetic $ρ$ propagator. It is observed that the average relaxation time shows a $1/T^4$ variation with temperature for a fixed value of magnetic field. The relaxation time shows a mild oscillatory variation with respect to the magnetic field. It is also observed that the medium dependent scattering cross-section causes a considerable amount of influence on the electrical conductivity and shear viscosity compared to its vacuum counterpart. |
| title | Electrical conductivity and shear viscosity of a pion gas in a thermo-magnetic medium |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2403.05165 |