Thermal modifications of mesons and energy-energy correlators from real-time simulations of a lattice gauge theory
arXiv:2507.16890 · doi:10.1103/x3sn-vq11
Abstract
We investigate thermal properties of a lattice gauge theory in -dimensions through real-time simulations. We extract the spectral functions directly coupling to the pseudoscalar and scalar mesons, demonstrating the thermal modifications of these states with increasing temperatures. Introducing the notion of energy-flow operators, we quantify the temporal build-up of correlations in the energy flows across the lattice. We demonstrate that energy-energy correlators fail to factorize to products of energy flows, both in the vacuum and at nonzero-temperature, indicating the presence of non-trivial correlations in the quantum states. Our results constitute a first real-time \textit{ab-initio} study of bound state thermal broadening and finite temperature energy-flow correlations in a gauge theory, providing a benchmark for future studies of hadronic matter under extreme conditions.
10 pages, 7 figures, v2 matches the published version
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