Coupled-cluster renormalization group

TL;DR

This paper combines the coupled cluster method with the Wilsonian renormalization group to develop a framework for constructing effective Hamiltonian field theories, demonstrated through a two-loop renormalized phi^4 theory example.

Contribution

It introduces a novel integration of CCM with RG techniques, enabling effective Hamiltonian construction in quantum field theories.

Findings

Successful derivation of a two-loop renormalized phi^4 theory

Demonstration of the framework's potential for quantum many-body systems

Highlighting the nonlinear, non-perturbative advantages of the combined approach

Abstract

The coupled cluster method (CCM) is one of the most successful and universally applicable techniques in quantum many-body theory. The intrinsic nonlinear and non-perturbative nature of the method is considered to be one of its advantages. We present here a combination of CCM with the Wilsonian renormalization group which leads to a powerful framework for construction of effective Hamiltonian field theories. As a toy example we obtain the two-loop renormalized $\phi^{4}$ theory.