Condensation and prescaling in spatial Polyakov loop correlations far from equilibrium
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909620582219776 |
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| author | Spitz, Daniel Boguslavski, Kirill Preis, Thimo |
| author_facet | Spitz, Daniel Boguslavski, Kirill Preis, Thimo |
| contents | The far-from-equilibrium dynamics of spatial Polyakov loop correlations, which provide gauge-invariant observables akin to effective particle numbers for gluon plasmas, are investigated within real-time $\mathrm{SU}(N_c)$ lattice gauge theory at weak couplings and large gluon occupations. The momentum zero mode of these correlations reveals the dynamic formation of a condensate, while at nonzero momenta, energy is transported toward the ultraviolet. We demonstrate that the non-zero momentum dynamics is well described by a direct cascade in terms of gauge-invariant Polyakov loop excitations, exhibiting self-similar prescaling indicative of a nonthermal attractor. This behavior can be analytically understood through perturbation theory for the Polyakov loop correlations and the established dynamics of gauge field correlations. We perform simulations for both $\mathrm{SU}(2)$ and $\mathrm{SU}(3)$ gauge groups, providing further consistency checks on the $N_c$-dependence of perturbative expectations. No evidence of an inverse cascade toward lower momenta is found for momenta above the electric screening scale. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05582 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Condensation and prescaling in spatial Polyakov loop correlations far from equilibrium Spitz, Daniel Boguslavski, Kirill Preis, Thimo High Energy Physics - Phenomenology Quantum Gases High Energy Physics - Lattice Nuclear Theory The far-from-equilibrium dynamics of spatial Polyakov loop correlations, which provide gauge-invariant observables akin to effective particle numbers for gluon plasmas, are investigated within real-time $\mathrm{SU}(N_c)$ lattice gauge theory at weak couplings and large gluon occupations. The momentum zero mode of these correlations reveals the dynamic formation of a condensate, while at nonzero momenta, energy is transported toward the ultraviolet. We demonstrate that the non-zero momentum dynamics is well described by a direct cascade in terms of gauge-invariant Polyakov loop excitations, exhibiting self-similar prescaling indicative of a nonthermal attractor. This behavior can be analytically understood through perturbation theory for the Polyakov loop correlations and the established dynamics of gauge field correlations. We perform simulations for both $\mathrm{SU}(2)$ and $\mathrm{SU}(3)$ gauge groups, providing further consistency checks on the $N_c$-dependence of perturbative expectations. No evidence of an inverse cascade toward lower momenta is found for momenta above the electric screening scale. |
| title | Condensation and prescaling in spatial Polyakov loop correlations far from equilibrium |
| topic | High Energy Physics - Phenomenology Quantum Gases High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2411.05582 |