scholarly journals The subleading term of the strong coupling expansion of the heavy-quark potential in a $ \mathcal{N} = 4 $ super Yang-Mills plasma

2011 ◽  
Vol 2011 (7) ◽  
Author(s):  
Zi-qiang Zhang ◽  
De-fu Hou ◽  
Hai-cang Ren ◽  
Lei Yin
Keyword(s):  
Heavy Quark ◽  
Strong Coupling ◽  
Strong Coupling Expansion ◽  
Yang Mills ◽  
Quark Potential ◽  
Heavy Quark Potential

scholarly journals Long and short distance behavior of the imaginary part of the heavy-quark potential

2022 ◽  
Vol 258 ◽  
pp. 04008
Author(s):  
Kirill Boguslavski ◽  
Babak Kasmaei ◽  
Michael Strickland
Keyword(s):  
Heavy Quark ◽  
Imaginary Part ◽  
Short Distance ◽  
Bound States ◽  
Yang Mills ◽  
Temporal Decay ◽  
Wide Range ◽  
Quark Potential ◽  
Heavy Quark Potential ◽  
Distance Behavior

The imaginary part of the effective heavy-quark potential can be related to the total in-medium decay width of of heavy quark-antiquark bound states. We extract the static limit of this quantity using classical-statistical simulations of the real-time Yang-Mills dynamics by measuring the temporal decay of Wilson loops. By performing the simulations on finer and larger lattices we are able to show that the nonperturbative results follow the same form as the perturbative ones. For large quark-antiquark separations, we quantify the magnitude of the non-perturbative long-range corrections to the imaginary part of the heavy-quark potential. We present our results for a wide range of temperatures, lattice spacings, and lattice volumes. We also extract approximations for the short-distance behavior of the classical potential.

scholarly journals The imaginary part of the heavy-quark potential from real-time Yang-Mills dynamics

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Kirill Boguslavski ◽  
Babak S. Kasmaei ◽  
Michael Strickland
Keyword(s):  
Heavy Quark ◽  
Real Time ◽  
Imaginary Part ◽  
Yang Mills ◽  
Debye Mass ◽  
Temporal Decay ◽  
Wide Range ◽  
Quark Potential ◽  
Heavy Quark Potential ◽  
Lattice Perturbation Theory

Abstract We extract the imaginary part of the heavy-quark potential using classical-statistical simulations of real-time Yang-Mills dynamics in classical thermal equilibrium. The r-dependence of the imaginary part of the potential is extracted by measuring the temporal decay of Wilson loops of spatial length r. We compare our results to continuum expressions obtained using hard thermal loop theory and to semi-analytic lattice perturbation theory calculations using the hard classical loop formalism. We find that, when plotted as a function of mDr, where mD is the hard classical loop Debye mass, the imaginary part of the heavy-quark potential shows little sensitivity to the lattice spacing at small mDr ≲ 1 and agrees well with the semi-analytic hard classical loop result. For large quark-antiquark separations, we quantify the magnitude of the non-perturbative long-range corrections to the imaginary part of the heavy-quark potential. We present our results for a wide range of temperatures, lattice spacings, and lattice volumes. This work sets the stage for extracting the imaginary part of the heavy-quark potential in an expanding non-equilibrium Yang Mills plasma.

Heavy Quark Potential and Quarkonium Spectrum in Nonperturbative pNRQCD

2013 ◽  
Vol 54 (7-10) ◽  
pp. 1027-1031 ◽  
Author(s):  
Yoshiaki Koma ◽  
Miho Koma
Keyword(s):  
Heavy Quark ◽  
Quark Potential ◽  
Heavy Quark Potential
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