Causal Temporal Renormalisation Group Flow of the EnergyMomentum Tensor
Abstract
We derive the temporal renormalisation group flow of the energymomentum tensor at the example of a general scalar theory. The local causal structure of the temporal renormalisation group flow allows to monitor and control causality, unitarity and general conservation laws at each infinitesimal renormalisation group step. We explore energyconserving truncations in a comparison of generic flows and the causal temporal flow of the energymomentum tensor. We also observe that the temporal regulator preserves scale invariance, which is violated for generic momentum regulators. Specifically we discuss the relation of these terms to the trace anomaly of the energymomentum tensor. Moreover, we show that the causal temporal flow of the energymomentum tensor can be integrated analytically, and demonstrate, that the result is consistent with energy conservation.
 Publication:

arXiv eprints
 Pub Date:
 December 2021
 DOI:
 10.48550/arXiv.2112.12652
 arXiv:
 arXiv:2112.12652
 Bibcode:
 2021arXiv211212652H
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter  Other Condensed Matter;
 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Phenomenology
 EPrint:
 9 pages, 4 figures