On the Nonrelativistic Limit of the phi^4 Theory in 2+1 Dimensions

Abstract

We study the nonrelativistic limit of the quantum theory of a real scalar field with quartic self-interaction. The two body scattering amplitude is written in such way as to separate the contributions of high and low energy intermediary states. From this result and the two loop computation of the self energy correction, we determine an effective nonrelativistic action.

15 pages, 2 figures, revtex

Cited by in corpus (7)

• Relativistic Corrections to the Aharonov-Bohm Scattering
• On the Nonrelativistic Limit of the Scattering of Spin One-half Particles Interacting with a Chern-Simons Field
• The Low Energy Limit of the Chern-Simons Theory Coupled to Fermions
• Nonrelativistic Limit of the Scalar Chern-Simons Theory and the Aharonov-Bohm Scattering
• Nonrelativistic Limit of Dirac Theory From Effective Field Theory
• Non-Abelian Aharonov-Bohm Scattering of Spin 1/2 Particles
• Relativistic scalar Aharonov-Bohm scattering