Modified Spectral Boundary conditions in the Bag Model

Details Modified Spectral Boundary conditions in the Bag Model Modified Spectral Boundary conditions in the Bag Model

2005-12-26

arxiv.org/abs/hep-th/0512311v1

J.Phys. A39 (2006) 6109-6115

Physics

High Energy Physics

High Energy Physics - Theory

Talk given at Seventh Workshop on Quantum Field Theory under the Influence of External Conditions, QFEXT'05, Barcelona, Septem

Scientific paper

10.1088/0305-4470/39/21/S01

We propose a reduced form of Atiah-Patodi-Singer spectral boundary conditions for odd ($d$) dimensional spatial bag evolving in even ($d+1$) dimensional space-time. The modified boundary conditions are manifestly chirally invariant and do not depend on time. This allows to apply Hamiltonian approach to confined massless fermions and study chirality effects in spatially closed volume. The modified boundary conditions are equally suitable for chiral fermions in Minkowski and Euclidean metric space-times.

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