Thermal modifications of mesons and energy-energy correlators from real-time simulations of a $U(1)$ lattice gauge theory
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| Format: | Preprint |
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2025
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| _version_ | 1866915664374005760 |
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| author | Barata, João Frenklakh, David Mukherjee, Swagato |
| author_facet | Barata, João Frenklakh, David Mukherjee, Swagato |
| contents | We investigate thermal properties of a $U(1)$ lattice gauge theory in $1+1$-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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_16890 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermal modifications of mesons and energy-energy correlators from real-time simulations of a $U(1)$ lattice gauge theory Barata, João Frenklakh, David Mukherjee, Swagato High Energy Physics - Phenomenology High Energy Physics - Lattice Quantum Physics We investigate thermal properties of a $U(1)$ lattice gauge theory in $1+1$-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. |
| title | Thermal modifications of mesons and energy-energy correlators from real-time simulations of a $U(1)$ lattice gauge theory |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2507.16890 |