1999/10/15 by Amy Gall, A. Gall, Gall, A. · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Applications #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9910364
72 pages, 13 figures
arxiv created 1999/10/15 · openalex publication_date 1999/10/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Nonrelativstic effective field theories have shown to be a useful framework to describe systems of weakly bound particles. This work focuses on the matching procedure to the underlying relativistic theory. The concept of a physical mass in the absence of explicit Lorentz symmetry and the matching conditions for S-matrix elements and Green's functions are discussed in general for scalar particles. The effective Lagrangians of the pure particle and anti-particle sectors are constructed explicitely for a Yukawa-type interaction of a heavy and a light scalar field. Using the proper matching, it is shown that they reproduce the corresponding relativistic amplitudes in a systematic expansion in inverse powers of the heavy mass.