1992/11/09 by B. Moussallam, Moussallam, B.
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9211229
(Talk given at the workshop on "Baryons as Skyrme Solitons" Siegen 27-30 Sept. 92), Latex, 10 pages, Orsay preprint IPNO/TH 92-94
arxiv created 1992/11/09 · openalex publication_date 1992/11/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The so called Casimir energy embodies the O((Nc)0) contribution to the skyrmion mass according to the semi-classical expansion theory of solitons. We claim that this contribution can be accurately estimated despite the fact that some of the counterterms, provided in principle by chiral perturbation theory, are not known in practice. Using ζ function techniques we show that Ecas=Ecas(μ)+Ect(μ) where Ecas(μ)>>Ect(μ) because it incorporates all the zero-mode contributions and it can be exactly calculated. Our results confirm that the fourth order Skyrme lagrangian does not seem to provide a correct description of the lightest baryons as solitons. We show that a simple extension to order six gives, on the contrary, good results without tuning the parameters of the chiral lagrangian.