# Proper static potential in classical lattice gauge theory at finite T

@article{Lehmann2021ProperSP, title={Proper static potential in classical lattice gauge theory at finite T}, author={Alexander Lehmann and Alexander Rothkopf}, journal={Journal of High Energy Physics}, year={2021} }

Abstract
We compute the proper real-time interaction potential between a static quark and antiquark in classical lattice gauge theory at finite temperature. Our central result is the determination of the screened real-part of this potential, and we reconfirm the presence of an imaginary part. The real part is intimately related to the back-reaction of the static sources onto the gauge fields, incorporated via Gauss’s law. Differences in the treatment of static sources in quantum and classical…

## Figures from this paper

## 2 Citations

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

- PhysicsJournal of High Energy Physics
- 2021

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…

Conserving Lattice Gauge Theory for Finite Systems

- Mathematics
- 2021

Correspondence: alexander.rothkopf@uis.no Faculty of Science and Technology, University of Stavanger, 4021 Stavanger, Norway Full list of author information is available at the end of the article…

## References

SHOWING 1-10 OF 78 REFERENCES

Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations

- Physics
- 2007

Recently, a finite-temperature real-time static potential has been introduced via a Schrodinger-type equation satisfied by a certain heavy quarkonium Green's function. Furthermore, it has been…

Fermion production from real-time lattice gauge theory in the classical-statistical regime

- Physics
- 2014

We investigate the real-time dynamics of U(1) and SU(N) gauge theories coupled to fermions on a lattice. While real-time lattice gauge theory is not amenable to standard importance sampling…

Complex heavy-quark potential at finite temperature from lattice QCD.

- PhysicsPhysical review letters
- 2012

The existence of an imaginary part above the critical temperature T(C), which grows as a function of r, is confirmed and underscores the importance of collisions with the gluonic environment for the melting of heavy quarkonia in the quark-gluon plasma.

Real-time static potential in hot QCD

- Physics
- 2007

We derive a static potential for a heavy quark- antiquark pair propagating in Minkowski time at finite temperature, by defining a suitable gauge-invariant Green's function and computing it to first…

Static quark-antiquark potential in the quark-gluon plasma from lattice QCD.

- PhysicsPhysical review letters
- 2015

It is found that the real part of the complex valued static quark-antiquark potential lies close to the color singlet free energies in Coulomb gauge and shows Debye screening above the (pseudo)critical temperature T_{c}.

Non-Abelian chiral instabilities at high temperature on the lattice

- Physics
- 2015

A bstractWe report on an exploratory lattice study on the phenomenon of chiral instabilities in non-Abelian gauge theories at high temperature. It is based on a recently constructed anomalous…

Chern-Simons number diffusion and hard thermal loops on the lattice

- Physics
- 2000

We develop a discrete lattice implementation of the hard thermal loop effective action by the method of added auxiliary fields. We use the resulting model to measure the sphaleron rate (topological…

Confinement of Quarks

- Physics
- 1974

A mechanism for total confinement of quarks, similar to that of Schwinger, is defined which requires the existence of Abelian or non-Abelian gauge fields. It is shown how to quantize a gauge field…