2020/11/10 by Jordan Wilson-Gerow, Wilson-Gerow, Jordan
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2011.05312
openalex publication_date 2020/11/10 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
We study the binding energy of a heavy quark-antiquark (q\q) pair\nusing the first-order path integral formalism. This makes the Yang-Mills\nconstraint equation explicit, and highlights that it is valid without relying\non a semiclassical approximation. A generalized gauge-covariant Coulomb gauge\nis chosen to allow for a decomposition of the chromoelectric field into a\ngauge-covariant generalization of transverse and longitudinal parts. This\ndecomposition makes it clear that the q\q binding energy is determined\nsolely by the solution to the constraint equation. Assuming that the low-energy\nphysics is dominated by the existence of a dimension-2 gluon condensate, we\ndevelop an asymptotic series solution to the constraint equation and thus to\nthe q\q binding energy. We predict a QCD string tension in terms of the\ncondensate strength and quadratic Casimir eigenvalues, and relate our result to\nresults coming from OPE analyses.\n