Leading logarithms for the nucleon mass

Within the heavy baryon chiral perturbation theory approach, we have studied the leading logarithm behaviour of the nucleon mass up to four-loop order exactly and we present some results up to six-loop order as well as an all-order conjecture. The same methods allow to calculate the main logarithm m...

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Bibliographic Details
Published in:arXiv.org 2015-01
Main Authors: Bijnens, Johan, Vladimirov, Alexey A
Format: Article
Language:English
Subjects:
Baryons
Chiral dynamics
Divergence
Logarithms
Mathematical analysis
Perturbation theory
Online Access:Get full text
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Summary:Within the heavy baryon chiral perturbation theory approach, we have studied the leading logarithm behaviour of the nucleon mass up to four-loop order exactly and we present some results up to six-loop order as well as an all-order conjecture. The same methods allow to calculate the main logarithm multiplying the terms with fractional powers of the quark mass. We calculate thus the coefficients of \(m^{2n+1}\log^{(n-1)}(\mu^2/m^2)\) and \(m^{2n+2}\log^n(\mu^2/m^2)\), with \(m\) the lowest-order pion mass. A side result is the leading divergence for a general heavy baryon loop integral.
ISSN:2331-8422
DOI:10.48550/arxiv.1409.6127