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Title: Loop corrections and the K-matrix formalism

Abstract

We propose a new model that combines the rigor of full-fledged loop calculations in field theory with the simplicity of the K-matrix formalism for channel-coupling effects. We show, for one example, the equivalence of this new model, the renormalized Im-K-matrix (RIK) model, with a more standard approach in which nonperturbative loop corrections are calculated. In the RIK model an analytic continuation of the K-matrix formalism is combined with a renormalization procedure to arrive at a scattering amplitude that obeys low-energy theorems and is also an analytic function in the complex momentum plane.

Authors:
; ;  [1];  [2]
  1. Kernfysisch Versneller Instituut, University of Groningen, 9747 AA Groningen (Netherlands)
  2. (RCNP), Osaka University, Ibaraki, Osaka 567-0047 (Japan)
Publication Date:
OSTI Identifier:
20995320
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.75.055203; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANALYTIC FUNCTIONS; CORRECTIONS; FIELD THEORIES; K MATRIX; LOW-ENERGY THEOREM; SCATTERING AMPLITUDES

Citation Formats

Scholten, O., Tamenaga, S., Toki, H., and Research Center for Nuclear Physics. Loop corrections and the K-matrix formalism. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.055203.
Scholten, O., Tamenaga, S., Toki, H., & Research Center for Nuclear Physics. Loop corrections and the K-matrix formalism. United States. doi:10.1103/PHYSREVC.75.055203.
Scholten, O., Tamenaga, S., Toki, H., and Research Center for Nuclear Physics. Tue . "Loop corrections and the K-matrix formalism". United States. doi:10.1103/PHYSREVC.75.055203.
@article{osti_20995320,
title = {Loop corrections and the K-matrix formalism},
author = {Scholten, O. and Tamenaga, S. and Toki, H. and Research Center for Nuclear Physics},
abstractNote = {We propose a new model that combines the rigor of full-fledged loop calculations in field theory with the simplicity of the K-matrix formalism for channel-coupling effects. We show, for one example, the equivalence of this new model, the renormalized Im-K-matrix (RIK) model, with a more standard approach in which nonperturbative loop corrections are calculated. In the RIK model an analytic continuation of the K-matrix formalism is combined with a renormalization procedure to arrive at a scattering amplitude that obeys low-energy theorems and is also an analytic function in the complex momentum plane.},
doi = {10.1103/PHYSREVC.75.055203},
journal = {Physical Review. C, Nuclear Physics},
number = 5,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}