Dirac equation in the background of the Nutku helicoid metric

T. Birkandan; M. Hortaçsu

doi:10.1063/1.2785124

Dirac equation in the background of the Nutku helicoid metric

T. Birkandan^*, M. Hortaçsu

^*Corresponding author for this work

Department of Physics Engineering

Istanbul Technical University

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

We study the solutions of the Dirac equation in the background of the Nutku helicoid metric. This metric has curvature singularities, which necessitates imposing a boundary to exclude this point. We use the Atiyah-Patodi-Singer [Math. Proc. Cambridge Philos. Soc. 77, 43 (1975)] nonlocal spectral boundary conditions for both the four and the five dimensional manifolds.

Original language	English
Article number	092301
Journal	Journal of Mathematical Physics
Volume	48
Issue number	9
DOIs	https://doi.org/10.1063/1.2785124
Publication status	Published - 1 Sept 2007

Funding

We thank Professor John Roe, Professor Yavuz Nutku, Professor Ayşe Bilge, and Professor Neşe Özdemir for correspondence, for discussions, and scientific assistance throughout this work. The work of M.H. is also supported by TUBA, the Academy of Sciences of Turkey. This work is also supported by TUBITAK, the Scientific and Technological Council of Turkey.

Funders	Funder number
Academy of Sciences of Turkey
TUBA
TUBITAK
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

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Dirac equation in the background of the Nutku helicoid metric

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