Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-06-25
Phys.Rev. D66 (2002) 085010
Physics
High Energy Physics
High Energy Physics - Theory
REVTeX4, 15 pages, 1 figure; v3: minor corrections and additions, 2 further references
Scientific paper
10.1103/PhysRevD.66.085010
We consider the N=1 supersymmetric kink on a circle, i.e., on a finite interval with boundary or transition conditions which are locally invisible. For Majorana fermions, the single-particle Dirac Hamiltonian as a differential operator obeys simultaneously the three discrete symmetries of charge conjugation, parity, and time reversal. However, no single locally invisible transition condition can satisfy all three. When calculating sums over zero-point energies by mode number regularization, this gives a new rationale for a previous suggestion that one has to average over different choices of boundary conditions, such that for the combined set all three symmetries are obeyed. In particular it is shown that for twisted periodic or twisted antiperiodic boundary conditions separately both parity and time reversal are violated in the kink sector, as manifested by a delocalized momentum that cancels only in the average.
Goldhaber Alfred Scharff
Rebhan Anton
van Nieuwenhuizen Peter
Wimmer Robert
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