Holographic QCD running coupling for light quarks in strong magnetic field
I. Ya. Aref’eva, Ali Hajilou, Alexander Nikolaev, Pavel Slepov
Abstract
We study the influence of magnetic field on the running coupling constant using a bottom-up holographic model. We use the boundary condition that ensures the agreement with lattice calculations of string tension between quarks at zero chemical potential. The location of the 1st order phase transitions in <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mrow> <a:mo stretchy="false">(</a:mo> <a:mi>μ</a:mi> <a:mo>,</a:mo> <a:mi>T</a:mi> <a:mo stretchy="false">)</a:mo> </a:mrow> </a:math> -plane does not depend on the dilaton boundary conditions. We observe that the running coupling <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:mi>α</e:mi> </e:math> decreases with increasing magnetic field for the fixed values of chemical potential and temperature. At the 1st order phase transitions, the functions <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:mi>α</g:mi> </g:math> undergo jumps depending on temperature, chemical potential, and magnetic field. Published by the American Physical Society 2024