PreprintCC BY 4.0arXiv
Tensor Decomposition for Energy-Momentum Correlation Functions
Abstract
We establish the general functional form of the energy-momentum-tensor two-point function in Euclidean coordinate space at zero and finite temperature. The full correlation function is first decomposed into its fundamental tensorial structures based on the remaining rotational symmetry. We use energy-momentum conservation to derive differential relations between the resulting component functions. Using these constraints, the full set of component functions of the correlator can finally be represented in the form of a smaller set of spectral functions. Finally, we show how to use these techniques for more efficient future lattice investigations.
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BibTeX
@misc{moore2026tensor,
title = {{Tensor Decomposition for Energy-Momentum Correlation Functions}},
author = {Guy D. Moore and Jonas Winter},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.10526},
eprint = {2606.10526},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.10526},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Tensor Decomposition for Energy-Momentum Correlation Functions
AU - Guy D. Moore
AU - Jonas Winter
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2606.10526
UR - https://arxiv.org/abs/2606.10526
AB - We establish the general functional form of the energy-momentum-tensor two-point function in Euclidean coordinate space at zero and finite temperature. The full correlation function is first decomposed into its fundamental tensorial structures based on the remaining rotational symmetry. We use energy-momentum conservation to derive differential relations between the resulting component functions. Using these constraints, the full set of component functions of the correlator can finally be represented in the form of a smaller set of spectral functions. Finally, we show how to use these techniques for more efficient future lattice investigations.
ER -