4.4 Article

Proper static potential in classical lattice gauge theory at finite T

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP07(2021)067

Keywords

Lattice QCD; Lattice Quantum Field Theory; Quark-Gluon Plasma

Funding

  1. German Research Foundation (DFG) [SFB 1225]
  2. Research Council of Norway under the FRIPRO Young Research Talent grant [286883]
  3. UNINETT Sigma2 - the National Infrastructure for High Performance Computing and Data Storage in Norway [NN9578K-QCDrtX]

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The paper computes the real-time interaction potential between a static quark and antiquark in classical lattice gauge theory at finite temperature and determines the screened real part of this potential while confirming the presence of an imaginary part. The real part is closely related to the back-reaction of static sources onto the gauge fields, which is incorporated via Gauss's law. Differences in the treatment of static sources in quantum and classical lattice gauge theory are also discussed.
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 lattice gauge theory are discussed.

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