Hamiltonian renormalisation VIII. P(Phi,2) quantum field theory
High Energy Physics - Theory
2025-07-15 v2 General Relativity and Quantum Cosmology
Abstract
In previous works in this series we focussed on Hamiltonian renormalisation of free field theories in all spacetime dimensions. In this paper we address the Hamiltonian renormalisation of the self-interacting scalar field in two spacetime dimensions with polynomial potential, called P(Phi,2). We consider only the finite volume case. The P(Phi,2) theory is one of the few interacting QFT's that can be rigorously constructed non-perturbatively. We find that our Hamiltonian renormalisation flow finds this theory indeed as a fixed point.
Cite
@article{arxiv.2505.13030,
title = {Hamiltonian renormalisation VIII. P(Phi,2) quantum field theory},
author = {M. Rodriguez Zarate and T. Thiemann},
journal= {arXiv preprint arXiv:2505.13030},
year = {2025}
}
Comments
23p, 8 figures added, more details supplemented, exposition streamlined