Boundary Terms for Massless Fermionic Fields
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
Local supersymmetry leads to boundary conditions for fermionic fields in one-loop quantum cosmology involving the Euclidean normal to the boundary and a pair of independent spinor fields. This paper studies the corresponding classical properties, i.e. the classical boundary-value problem and boundary terms in the variational problem. Interestingly, a link is found with the classical boundary-value problem when spectral boundary conditions are imposed on a 3-sphere in the massless case. Moreover, the boundary term in the action functional is derived.
Keywords
Cite
@article{arxiv.gr-qc/9506076,
title = {Boundary Terms for Massless Fermionic Fields},
author = {Giampiero Esposito and Hugo A. Morales-Tecotl and Giuseppe Pollifrone},
journal= {arXiv preprint arXiv:gr-qc/9506076},
year = {2007}
}
Comments
8 pages, plain-tex, recently appearing in Foundations of Physics Letters, volume 7, pages 303-308, year 1994