A Wilson Renormalization Group Approach to Light-Front Tamm-Dancoff Scalar Field Theory

Details A Wilson Renormalization Group Approach to Light-Front Tamm-Dancoff Scalar Field Theory A Wilson Renormalization Group Approach to Light-Front Tamm-Dancoff Scalar Field Theory

1994-07-18

arxiv.org/abs/nucl-th/9407028v2

Phys.Rev. D50 (1994) 980-990

Physics

Nuclear Physics

Nuclear Theory

22 pages, OSU-NT-94-199

Scientific paper

10.1103/PhysRevD.50.980

A program to utilize the Tamm-Dancoff approximation, on the light-front, to solve relativistic quantum field theories, is presented. We present a well defined renormalization program for the Tamm-Dancoff approximation. This renormalization program utilizes a Minkowski space version of Wilson's renormalization group. We studied light-front $\phi^{4}$ field theory in 3+1 dimensions, within a two-particle truncation of Fock space. We further simplified our calculations by considering only one marginal operator and one irrelevant operator. The renormalization procedure required no more marginal or relevant operators. We derived an effective, renormalized, Hamiltonian. These techniques may be germane to the effort to find an effective, low energy, light-front Hamiltonian for quantum chromodynamics. PACS number(s): 11.10Gh, 11.10Ef

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