On the Preservation of Quasilocality by the Integration-Out Transformation
Mathematical Physics
2025-08-08 v2 math.MP
Abstract
We demonstrate that the integration-out step of the renormalization group transformation preserves the quasilocality of the effective action. This is shown in the case of a single, real, scalar field on a torus, but the proof holds more generally. The main result can be thought of as showing the flow invariance of the quasilocal subset under the flow generated by the Polchinski equation.
Keywords
Cite
@article{arxiv.2012.14747,
title = {On the Preservation of Quasilocality by the Integration-Out Transformation},
author = {Tamer Tlas},
journal= {arXiv preprint arXiv:2012.14747},
year = {2025}
}
Comments
27 pages, numerous clarifications added and explanations expanded with no change to the results