On the Preservation of Quasilocality by the Integration-Out Transformation
arXiv:2012.14747 · doi:10.1007/s00023-025-01610-x
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.
27 pages, numerous clarifications added and explanations expanded with no change to the results