Photon production rate from Transverse-Longitudinal (\(T-L\)) mesonic correlator on the lattice
Thermal photons from the QGP provide important information about the interaction among plasma constituents. The photon production rate from a thermally equilibrated system is proportional to the transverse spectral function \(\rho_T(\omega=|\vec k|, \vec k)\). One can also calculate the photon produ...
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| description | Thermal photons from the QGP provide important information about the interaction among plasma constituents. The photon production rate from a thermally equilibrated system is proportional to the transverse spectral function \(\rho_T(\omega=|\vec k|, \vec k)\). One can also calculate the photon production rate from the difference between \(\rho_T(\omega,\vec k)\) (transverse) and \(\rho_L(\omega,\vec k)\) (longitudinal) projections, as \(\rho_L\) vanishes on the photon point. Because the UV part of \(\rho_T-\rho_L\) is suppressed, the corresponding Euclidean correlator receives most of its contribution from the IR part. We calculate the \(T\!-\!L\) correlator on \(N_f=2+1\) flavour HISQ configurations with \(m_l=m_s/5\) at temperature of about \(1.15\,T_{pc}\) (220 MeV). We have used two ans\"{a}tze for the spectral function: 1) A polynomial connected to the UV region consistent with OPE expansion and 2) a hydro-inspired spectral function. We have also applied the Backus-Gilbert method to estimate the spectral function. All these different approaches are combined to estimate the photon production rate. |
| doi_str_mv | 10.48550/arxiv.2212.11509 |
| format | Article |
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The photon production rate from a thermally equilibrated system is proportional to the transverse spectral function \(\rho_T(\omega=|\vec k|, \vec k)\). One can also calculate the photon production rate from the difference between \(\rho_T(\omega,\vec k)\) (transverse) and \(\rho_L(\omega,\vec k)\) (longitudinal) projections, as \(\rho_L\) vanishes on the photon point. Because the UV part of \(\rho_T-\rho_L\) is suppressed, the corresponding Euclidean correlator receives most of its contribution from the IR part. We calculate the \(T\!-\!L\) correlator on \(N_f=2+1\) flavour HISQ configurations with \(m_l=m_s/5\) at temperature of about \(1.15\,T_{pc}\) (220 MeV). We have used two ans\"{a}tze for the spectral function: 1) A polynomial connected to the UV region consistent with OPE expansion and 2) a hydro-inspired spectral function. We have also applied the Backus-Gilbert method to estimate the spectral function. 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The photon production rate from a thermally equilibrated system is proportional to the transverse spectral function \(\rho_T(\omega=|\vec k|, \vec k)\). One can also calculate the photon production rate from the difference between \(\rho_T(\omega,\vec k)\) (transverse) and \(\rho_L(\omega,\vec k)\) (longitudinal) projections, as \(\rho_L\) vanishes on the photon point. Because the UV part of \(\rho_T-\rho_L\) is suppressed, the corresponding Euclidean correlator receives most of its contribution from the IR part. We calculate the \(T\!-\!L\) correlator on \(N_f=2+1\) flavour HISQ configurations with \(m_l=m_s/5\) at temperature of about \(1.15\,T_{pc}\) (220 MeV). We have used two ans\"{a}tze for the spectral function: 1) A polynomial connected to the UV region consistent with OPE expansion and 2) a hydro-inspired spectral function. We have also applied the Backus-Gilbert method to estimate the spectral function. 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The photon production rate from a thermally equilibrated system is proportional to the transverse spectral function \(\rho_T(\omega=|\vec k|, \vec k)\). One can also calculate the photon production rate from the difference between \(\rho_T(\omega,\vec k)\) (transverse) and \(\rho_L(\omega,\vec k)\) (longitudinal) projections, as \(\rho_L\) vanishes on the photon point. Because the UV part of \(\rho_T-\rho_L\) is suppressed, the corresponding Euclidean correlator receives most of its contribution from the IR part. We calculate the \(T\!-\!L\) correlator on \(N_f=2+1\) flavour HISQ configurations with \(m_l=m_s/5\) at temperature of about \(1.15\,T_{pc}\) (220 MeV). We have used two ans\"{a}tze for the spectral function: 1) A polynomial connected to the UV region consistent with OPE expansion and 2) a hydro-inspired spectral function. We have also applied the Backus-Gilbert method to estimate the spectral function. All these different approaches are combined to estimate the photon production rate.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2212.11509</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Correlation Flavors Mathematical analysis Photons Physics - High Energy Physics - Lattice Physics - High Energy Physics - Phenomenology Polynomials |
| title | Photon production rate from Transverse-Longitudinal (\(T-L\)) mesonic correlator on the lattice |
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