Linked-cluster Tamm-Dancoff Field Theory

Details Linked-cluster Tamm-Dancoff Field Theory Linked-cluster Tamm-Dancoff Field Theory

2003-06-17

arxiv.org/abs/hep-th/0306159v1

Phys.Lett. B570 (2003) 129-136

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Revtex4

Scientific paper

10.1016/j.physletb.2003.07.005

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 $\phi^{4}$ 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.

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