Rate of photon production in the quark-gluon plasma from lattice QCD

Marco Cè (Helmholtz-Institut Mainz, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany; Theoretical Physics Department, CERN, CH-1211 Geneva 23, Switzerland) ; Tim Harris (Dipartimento di Fisica, Università di MilanoBicocca, and INFN, sezione di MilanoBicocca, Piazza della Scienza 3, I-20126 Milano, Italy) ; Harvey B. Meyer (Helmholtz-Institut Mainz, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany; PRISMA+ Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany) ; Aman Steinberg (PRISMA+ Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany; Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany) ; Arianna Toniato (PRISMA+ Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany)

We calculate the thermal rate of real-photon production in the quark-gluon plasma at a temperature of T=254 MeV using lattice QCD. The calculation is based on the difference between the spatially transverse and longitudinal parts of the polarization tensor, which has the advantage of falling off rapidly at large frequencies. We obtain this linear combination in the time-momentum representation from lattice QCD with two flavors of quarks in the continuum limit with a precision of about two parts per mille. Applying a theoretically motivated fit ansatz for the associated spectral function, we obtain values for the photon rate that are in line with QCD weak-coupling calculations. A representative result is dΓ(k)/dk=(1.51.5+2.1)·(10 fm)4·(0.2 GeV)1 at k=1.2 GeV for the differential rate of photon production per unit volume of plasma.

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      "source": "APS", 
      "value": "We calculate the thermal rate of real-photon production in the quark-gluon plasma at a temperature of <math><mi>T</mi><mo>=</mo><mn>254</mn><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math> using lattice QCD. The calculation is based on the difference between the spatially transverse and longitudinal parts of the polarization tensor, which has the advantage of falling off rapidly at large frequencies. We obtain this linear combination in the time-momentum representation from lattice QCD with two flavors of quarks in the continuum limit with a precision of about two parts per mille. Applying a theoretically motivated fit ansatz for the associated spectral function, we obtain values for the photon rate that are in line with QCD weak-coupling calculations. A representative result is <math><mi>d</mi><mi>\u0393</mi><mo>(</mo><mi>k</mi><mo>)</mo><mo>/</mo><mi>d</mi><mi>k</mi><mo>=</mo><mo>(</mo><mn>1.</mn><msubsup><mn>5</mn><mrow><mo>\u2212</mo><mn>1.5</mn></mrow><mrow><mo>+</mo><mn>2.1</mn></mrow></msubsup><mo>)</mo><mo>\u00b7</mo><mo>(</mo><mn>10</mn><mtext> </mtext><mtext> </mtext><mi>fm</mi><msup><mo>)</mo><mrow><mo>\u2212</mo><mn>4</mn></mrow></msup><mo>\u00b7</mo><mo>(</mo><mn>0.2</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi><msup><mo>)</mo><mrow><mo>\u2212</mo><mn>1</mn></mrow></msup></math> at <math><mi>k</mi><mo>=</mo><mn>1.2</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math> for the differential rate of photon production per unit volume of plasma."
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Published on:
09 November 2020
Publisher:
APS
Published in:
Physical Review D , Volume 102 (2020)
Issue 9
DOI:
https://doi.org/10.1103/PhysRevD.102.091501
arXiv:
2001.03368
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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