English

Exact renormalization group for wave functionals

High Energy Physics - Theory 2023-03-28 v3

Abstract

Motivated by the construction of the cMERA for interacting field theories, we derive a non-perturbative functional differential equation for wave functionals in scalar field theories from the exact renormalization group equation. We check the validity of the equation using the perturbation theory. We calculate the wave functional up to the first-order perturbation and verify that it satisfies the equation.

Keywords

Cite

@article{arxiv.2211.05534,
  title  = {Exact renormalization group for wave functionals},
  author = {Takaaki Kuwahara and Gota Tanaka and Asato Tsuchiya and Kazushi Yamashiro},
  journal= {arXiv preprint arXiv:2211.05534},
  year   = {2023}
}

Comments

15 pages, published version

R2 v1 2026-06-28T05:35:42.910Z