2013/11/30 by Elena Petreska · 1 citation
Mathematics · Physics and Astronomy · #Classical mechanics #Collision #Gauge theory #Geometry #High-Energy Particle Collisions Research #Loop (graph theory) #Magnetic field #Mathematical physics #Mathematics #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scaling #Square (algebra) #Wilson loop #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.89.057501
published as Phys. Rev. D 89, 057501 (2014) · 4 pages, 4 figures. v2: minor revisions, new version to appear in PRD
arxiv created 2014/02/03 · openalex publication_date 2014/03/05 · arxiv updated 2014/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It has been previously shown numerically that the expectation value of the magnetic Wilson loop at the initial time of a heavy-ion collision exhibits area law scaling. This was obtained for a classical non-Abelian gauge field in the forward light cone and for loops of area A\ensuremath\gtrsim2/Qs2. Here, we present an analytic calculation of the spatial Wilson loop in the classical field of a collision within perturbation theory. It corresponds to a diagram with two sources, for both projectile and target, whose field is evaluated at second order in the gauge potential. The leading nontrivial contribution to the magnetic loop in perturbation theory is proportional to the square of its area.