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Contributions of the Cartan generators in potentials between static\n sources

2020/12/16 by Seyed Mohsen Hosseini Nejad, Nejad, Seyed Mohsen Hosseini
Engineering · Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Pulsars and Gravitational Waves Research #Superconducting Materials and Applications

paper · pdf · doi:10.48550/arxiv.2012.09094

openalex publication_date 2020/12/16 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We investigate the contributions of the Cartan generators in the static\npotentials for various representations in the framework of the domain model of\ncenter vortices for SU(3) gauge theory. Using the center domains with the cores\ncorresponding to only one Cartan generator H8, already given as a particular\nproposal, leads to some concavities in the potentials for higher\nrepresentations. Furthermore, the string tension of the fundamental\nrepresentation is the same at Casimir scaling and N-ality regimes. We add the\ncontribution of the other Cartan generator H3 to the potentials and therefore\nthese shortcomings can be eliminated. However, we discuss that at intermediate\nrange of distances the potentials induced by only H8 agree with the Casimir\nscaling better than those corresponding to both Cartan generators.\n

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