Lattice QCD estimates of thermal photon production from the QGP
Sajid Ali, Dibyendu Bala, Anthony Francis, Greg Jackson, Olaf Kaczmarek, Jonas Turnwald, Tristan Ueding, Nicolas Wink
Abstract
Thermal photons produced in heavy-ion collision experiments are an important observable for understanding quark-gluon plasma (QGP). The thermal photon rate from the QGP at a given temperature can be calculated from the spectral function of the vector current correlator. Extraction of the spectral function from the lattice correlator is known to be an ill-conditioned problem, as there is no unique solution for a spectral function for a given lattice correlator with statistical errors. The vector current correlator, on the other hand, receives a large ultraviolet contribution from the vacuum, which makes the extraction of the thermal photon rate difficult from this channel. We therefore consider the difference between the transverse and longitudinal part of the spectral function, only capturing the thermal contribution to the current correlator, simplifying the reconstruction significantly. The lattice correlator is calculated for light quarks in quenched QCD at <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>T</a:mi> <a:mo>=</a:mo> <a:mn>470</a:mn> <a:mtext> </a:mtext> <a:mtext> </a:mtext> <a:mi>MeV</a:mi> </a:math> ( <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:mo>∼</c:mo> <c:mn>1.5</c:mn> <c:msub> <c:mi>T</c:mi> <c:mi>c</c:mi> </c:msub> </c:math> ), as well as in <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:mrow> <e:mn>2</e:mn> <e:mo>+</e:mo> <e:mn>1</e:mn> </e:mrow> </e:math> flavor QCD at <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:mi>T</g:mi> <g:mo>=</g:mo> <g:mn>220</g:mn> <g:mtext> </g:mtext> <g:mtext> </g:mtext> <g:mi>MeV</g:mi> </g:math> ( <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:mo>∼</i:mo> <i:mn>1.2</i:mn> <i:msub> <i:mi>T</i:mi> <i:mrow> <i:mi>p</i:mi> <i:mi>c</i:mi> </i:mrow> </i:msub> </i:math> ) with <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"> <k:msub> <k:mi>m</k:mi> <k:mi>π</k:mi> </k:msub> <k:mo>=</k:mo> <k:mn>320</k:mn> <k:mtext> </k:mtext> <k:mtext> </k:mtext> <k:mi>MeV</k:mi> </k:math> . In order to quantify the nonperturbative effects, the lattice correlator is compared with the corresponding <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:mi>NLO</m:mi> <m:mo>+</m:mo> <m:msup> <m:mi>LPM</m:mi> <m:mi>LO</m:mi> </m:msup> </m:math> estimate of correlator. The reconstruction of the spectral function is performed in several different frameworks, ranging from physics-informed models of the spectral function to more general models in the Backus-Gilbert method and Gaussian process regression. We find that the resulting photon rates agree within errors. Published by the American Physical Society 2024