Hamiltonian renormalization. VIII. P ( Φ ) 2 quantum field theory
Year: 2025
Type: article
Abstract: In previous works in this series we focused on Hamiltonian renormalization of free field theories in all spacetime dimensions. In this paper, we address the Hamiltonian renormalization of the self-interacting scalar field in two spacetime dimensions with polynomial potential, called P ( Φ ) 2 . We consider only the finite volume case. The P ( Φ ) 2 theory is one of the few interacting quantum field theories that can be rigorously constructed nonperturbatively. We find that our Hamiltonian renormalization flow finds this theory indeed as a fixed point.
DOI: 10.1103/gfvk-hpsb
Authors: M. Rodriguez Zarate, T. Thiemann
Institution: Friedrich-Alexander-Universität Erlangen-Nürnberg
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4417216507