Renormalization of Effective Hamiltonians

Abstract

We introduce a way of implementing Wilson renormalization within the context of the theory of effective Hamiltonians. Our renormalization scheme involves manipulations at the level of the generalized $G$--matrix and is independent of any specific kinematics. We show how to calculate the beta function within this context and exhibit our method using simple scale--invariant quantum mechanical systems.

10 pages, ReVTeX

Cited by in corpus (6)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics. I. General Theory
• QCD near the Light Cone
• Equivalence of model space techniques and the renormalization group for a separable model problem
• Renormalization of Functional Schroedinger Equation by Background Field Method
• Dimensional versus cut-off renormalization and the nucleon-nucleon interaction