Yang--Mills topology on four-dimensional triangulations
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910053137645568 |
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| author | Clemente, Giuseppe D'Elia, Massimo Németh, Dániel Simonetti, Gianmarco |
| author_facet | Clemente, Giuseppe D'Elia, Massimo Németh, Dániel Simonetti, Gianmarco |
| contents | We consider 4D $SU(N)$ gauge theories coupled to gravity in the Causal Dynamical Triangulations (CDT) approach, focusing on the topological classification of the gauge path integral over fixed triangulations. We discretize the topological charge and, after checking the emergence of topology and the continuum scaling on flat triangulations, we show that topology emerges on thermalized triangulations only in the so-called $C$-phase of CDT, thus enforcing the link between such phase and semiclassical spacetime. We also provide a tool to visualize the topological structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12668 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Yang--Mills topology on four-dimensional triangulations Clemente, Giuseppe D'Elia, Massimo Németh, Dániel Simonetti, Gianmarco High Energy Physics - Lattice General Relativity and Quantum Cosmology High Energy Physics - Theory We consider 4D $SU(N)$ gauge theories coupled to gravity in the Causal Dynamical Triangulations (CDT) approach, focusing on the topological classification of the gauge path integral over fixed triangulations. We discretize the topological charge and, after checking the emergence of topology and the continuum scaling on flat triangulations, we show that topology emerges on thermalized triangulations only in the so-called $C$-phase of CDT, thus enforcing the link between such phase and semiclassical spacetime. We also provide a tool to visualize the topological structures. |
| title | Yang--Mills topology on four-dimensional triangulations |
| topic | High Energy Physics - Lattice General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.12668 |