Soliton Fermionic number from the heat kernel expansion
High Energy Physics - Theory
2019-05-28 v2 Mathematical Physics
math.MP
Abstract
We consider different methods of calculating the (fractional) fermion number of solitons based on the heat kernel expansion. We derive a formula for the localized eta function a more systematic version of the derivative expansion for spectral assymmetry and that provides a more systematic version of the derivative expansion for spectral asymmetry and compute the fermion number in a multiflavour extension of the Goldstone-Wilczek model.We also propose an improved expansionof the heat kernelthat allows the tackling ofthe convergence issues and permits an automated computation of the coefficients
Keywords
Cite
@article{arxiv.1905.09030,
title = {Soliton Fermionic number from the heat kernel expansion},
author = {A. Alonso-Izquierdo and R. Fresneda and J. Mateos Guilarte and D. Vassilevich},
journal= {arXiv preprint arXiv:1905.09030},
year = {2019}
}
Comments
LaTex file, 20 pages, 1 Figure, One Reference added