Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/77514
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Limitations of the heavy-baryon expansion as revealed by a pion-mass dispersion relation |
Author: | Hall, J. Pascalutsa, V. |
Citation: | European Physical Journal C: Particles and Fields, 2012; 72(11):1-9 |
Publisher: | Springer |
Issue Date: | 2012 |
ISSN: | 1434-6044 1434-6052 |
Statement of Responsibility: | Jonathan M.M. Hall, Vladimir Pascalutsa |
Abstract: | The chiral expansion of nucleon properties such as mass, magnetic moment, and magnetic polarizability are investigated in the framework of chiral perturbation theory, with and without the heavy-baryon expansion. The analysis makes use of a pion-mass dispersion relation, which is shown to hold in both frameworks. The dispersion relation allows an ultraviolet cutoff to be implemented without compromising the symmetries. After renormalization, the leading-order heavy-baryon loops demonstrate a stronger dependence on the cutoff scale, which results in weakened convergence of the expansion. This conclusion is tested against the recent results of lattice quantum chromodynamics simulations for nucleon mass and isovector magnetic moment. In the case of the polarizability, the situation is even more dramatic as the heavy-baryon expansion is unable to reproduce large soft contributions to this quantity. Clearly, the heavy-baryon expansion is not suitable for every quantity. |
Description: | Extent: 9p. |
Rights: | © Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2012 |
DOI: | 10.1140/epjc/s10052-012-2206-8 |
Grant ID: | http://purl.org/au-research/grants/arc/DP110101265 |
Published version: | http://dx.doi.org/10.1140/epjc/s10052-012-2206-8 |
Appears in Collections: | Aurora harvest Chemistry and Physics publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.