Abstract
We derive a general expression for the absorptive part of the one-loop photon polarization tensor in a strongly magnetized quark-gluon plasma at nonzero baryon chemical potential. To demonstrate the application of the main result in the context of heavy-ion collisions, we study the effect of a nonzero baryon chemical potential on the photon emission rate. The rate and the ellipticity of photon emission are studied numerically as a function the transverse momentum (energy) for several values of temperature and chemical potential. When the chemical potential is small compared to the temperature, the rates of the quark and antiquark splitting processes (i.e., qrightarrow q +gamma and {bar{q}}rightarrow {bar{q}} +gamma , respectively) are approximately the same. However, the quark splitting gradually becomes the dominant process with increasing the chemical potential. We also find that increasing the chemical potential leads to a growing total photon production rate but has only a small effect on the ellipticity of photon emission. The quark-antiquark annihilation (q+{bar{q}}rightarrow gamma ) also contributes to the photon production, but its contribution remains relatively small for a wide range of temperatures and chemical potentials investigated.
Highlights
This study aims to quantify the effect of a nonzero chemical potential on the direct photon emission from a strongly magnetized quark-gluon plasma
We generalized the derivation of the photon polarization tensor in a strongly magnetized relativistic plasma to the case of a nonzero chemical potential
While the antisymmetric parts of the tensor vanish at μ = 0, they are nonzero at μ = 0. This is the consequence of the charge conjugation symmetry breaking by the chemical potential
Summary
We extend the photon polarization tensor of a magnetized quark-gluon plasma to the case of a nonzero baryon chemical potential. Note that α = 1/137 is the fine structure constant, while αs is the QCD coupling defined at a relevant physics scale (e.g., temperature, chemical potential, and/or magnetic field). After adjusting the electric charges and masses of particles, the result will be valid for the QED plasma In such a case, the validity of the one-loop approximation will be excellent because the subleading corrections of order α2 are negligible. I =1 where En,pz, f = m2 + pz2 + 2n|e f B| are Landau-level energies and Iiμ, νf are tensor functions defined in Eqs.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
