2020/05/10 by A. Bakry, Ahmed S. Bakry, Bakry, A. +6
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics #hep-lat #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.48550/arxiv.2005.04675
6 pages, 3 figures, 2 Tables
arxiv created 2020/05/10 · openalex publication_date 2020/05/10 · arxiv updated 2020/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The inclusion of the Gaussian-curvature term in the bulk of Polyakov-Kleinert string action renders new boundary terms and conditions by Gauss-Bonnet theorem. Within a leading approximation, the eigenmodes of smooth worldsheets and the free-energy of a gas of open rigid strings appears to be altered at second order in the coupling by the topological term . In analogy to the topological θ term, the Gauss-Bonnet term is introduced into the effective action with a complex coupling to implement signed energy shifts. We investigate the rigid color flux-sheets between two static color sources near the critical point in the light of the topologically induced shifts. The Yang-Mills lattice data of the potential of static quark-antiquark QQ in a heatbath is compared to the string potential. The Monte-Carlo data correspond to link-integrated Polyakov-loop correlators averaged over SU(3) gauge configurations at β=6.0. Substantial improvement in the fit behavior is displayed over the nonperturbative source separation distance 0.2 fm to 1.0 fm. Remarkably, the returned coupling parameter of the topological term from the fit exhibits a proportionality to a quantum number. These findings suggest that the manifested modes are the winding number of a topological particle on the string's worldsheet.