Linked-cluster Tamm-Dancoff Field Theory

Abstract

To solve the relativistic bound-state problem one needs to systematically and simultaneously decouple the high-energy from the low-energy modes and the many-body from the few-particle states using a consistent renormalization scheme. In a recent paper we have shown that one such approach can be a combination of the coupled cluster method as used in many-body theory and the Wilsonian exact renormalization group. Even though the method is intrinsically non-perturbative, one can easily implement a loop expansion within it. In this letter we provide further support for this aspect of our formalism by obtaining results for the two-loop renormalized ${\varphi }^4$ theory. We show that the non-unitary representation inherent in our method leads to an economic computation and does not produce any non-hermiticity in the relevant terms.

arXiv comment11 pages, Revtex4

References in corpus (4)

• The Exact Renormalisation Group and Approximate Solutions
• Exact Renormalization Group Equations. An Introductory Review
• Nonperturbative Light-Front QCD
• Initial bound state studies in light-front QCD

Cited by in corpus (5)

• Nonperturbative light-front Hamiltonian methods
• A light-front coupled-cluster method for the nonperturbative solution of quantum field theories
• Renormalization of Hamiltonian Field Theory; a non-perturbative and non-unitarity approach
• Light-front holography and the light-front coupled-cluster method
• A light-front coupled cluster method