| _version_ | 1866901222086148096 |
|---|---|
| author | Sekanina, Štěpán |
| author_facet | Sekanina, Štěpán |
| contents | <p>We derive non-Abelian gauge dynamics and confinement from a discrete spacetime model based on a bipartite tetrahedral network within the Granular Entropic Physics (GEP) framework. Link orientations define SU(2) gauge variables and fermions emerge as Möbius topological defects. Starting from Wilson's lattice action with coupling g² = 1/κ, where κ is the network stiffness, we derive the Yang–Mills action in the continuum limit. The effective potential between static fermionic defects is computed via rectangular Wilson loops: in the weak-coupling regime a Coulomb potential V(r) = −3/(16πκr) is recovered; in the strong-coupling regime the area law gives linear confinement V(r) = σr with string tension σ_phys = (1/a²)ln(1/κ). Confinement is interpreted geometrically as the energetic cost of topological frustration in link orientations — a flux tube of non-trivial holonomy. The isotropy of the tetrahedral network, confirmed by T^ab = 4δ^ab, ensures recovery of the standard propagator in the infrared limit. This establishes a direct geometric origin of Yang–Mills dynamics and suggests that gauge interactions may not be fundamental but emerge from microscopic network structure.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19351746 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Emergent Yang–Mills Dynamics and Confinement from a Granular Entropic Network Sekanina, Štěpán Yang-Mills theory confinement lattice gauge theory Wilson loop string tension emergent gauge dynamics Granular Entropic Physics spacetime network Möbius defects SU(2) strong coupling expansion Coulomb potential topological frustration discrete geometry <p>We derive non-Abelian gauge dynamics and confinement from a discrete spacetime model based on a bipartite tetrahedral network within the Granular Entropic Physics (GEP) framework. Link orientations define SU(2) gauge variables and fermions emerge as Möbius topological defects. Starting from Wilson's lattice action with coupling g² = 1/κ, where κ is the network stiffness, we derive the Yang–Mills action in the continuum limit. The effective potential between static fermionic defects is computed via rectangular Wilson loops: in the weak-coupling regime a Coulomb potential V(r) = −3/(16πκr) is recovered; in the strong-coupling regime the area law gives linear confinement V(r) = σr with string tension σ_phys = (1/a²)ln(1/κ). Confinement is interpreted geometrically as the energetic cost of topological frustration in link orientations — a flux tube of non-trivial holonomy. The isotropy of the tetrahedral network, confirmed by T^ab = 4δ^ab, ensures recovery of the standard propagator in the infrared limit. This establishes a direct geometric origin of Yang–Mills dynamics and suggests that gauge interactions may not be fundamental but emerge from microscopic network structure.</p> |
| title | Emergent Yang–Mills Dynamics and Confinement from a Granular Entropic Network |
| topic | Yang-Mills theory confinement lattice gauge theory Wilson loop string tension emergent gauge dynamics Granular Entropic Physics spacetime network Möbius defects SU(2) strong coupling expansion Coulomb potential topological frustration discrete geometry |
| url | https://doi.org/10.5281/zenodo.19351746 |