Boundary Terms for Massless Fermionic Fields

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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8 pages, plain-tex, recently appearing in Foundations of Physics Letters, volume 7, pages 303-308, year 1994

Scientific paper

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.

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