Semiclassical limit of S U ( 3 ) gauge field coherent states: Peakedness and overlap functions
Year: 2025
Type: article
Abstract: By using the heat kernel method, we construct diffeomorphism-covariant coherent states for the $SU(3)$ gauge group. We numerically demonstrate that these states exhibit the required semiclassical properties in the semiclassical limit: the peakedness property of the probability distribution and the peakedness property of the overlap function. We also provide the leading-order term of the overlap amplitude in the combined limit where $t\ensuremath{\rightarrow}0$ and $g\ensuremath{\rightarrow}{g}^{\ensuremath{'}}$. This work provides the essential tool for deriving effective dynamics for $SU(3)$ gauge fields coupled to gravity via a coherent state path integral.
DOI: 10.1103/dpsm-4qyv
Authors: Ye Zhang, Zichang Huang
Institution: University of Shanghai for Science and Technology
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4417175805