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Casimir scaling inG2lattice gauge theory

2008/07/31 by L. Liptak, Ľudovít Lipták, Š. Olejník +1 · 35 citations
Mathematics · Physics and Astronomy · #Anisotropy #Casimir effect #Condensed matter physics #Coupling (piping) #Gauge theory #Geometry #Lattice (music) #Lattice gauge theory #Materials science #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scaling #Theoretical and Computational Physics #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.78.074501

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 78(7) (American Physical Society) · 14 pages, 12 figures (24 EPS files), RevTeX4. In v2: typos corrected, discussion of systematic errors and of smearing expanded, references added. Version to appear in Phys. Rev. D

arxiv created 2008/09/25 · openalex publication_date 2008/10/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We computed potentials between static color sources from the six lowest representations of G2 lattice gauge theory, in numerical simulations with the Wilson action on asymmetric lattices with nonperturbatively estimated values of the bare anisotropy. We present evidence for (approximate) Casimir scaling of the obtained intermediate string tensions. The agreement with the Casimir-scaling prediction improves by increasing the coupling \ensuremathβ in the weak-coupling region above the crossover observed in G2 gauge theory. The result naturally fits into confinement models with magnetic disorder and vacuum domain structure, but may represent a challenge for other approaches.

Citations