Derivation of Index Theorem by Supersymmetry
نویسندگان
چکیده
In order to evaluate some quantities in Gaussian ensembles, we investigate ”vandermonde ensemble” which represents the distribution of eigenvalues of GUE in the phase space. We derive the integral equation of the level density of vandermonde ensemble and we compute the level density numerically.
منابع مشابه
SUPERSYMMETRY AND THE ATIYAH-SINGER INDEX THEOREM I: Peierls Brackets, Green’s Functions, and a Supersymmetric Proof of the Index Theorem
The Peierls bracket quantization scheme is applied to the supersymmetric system corresponding to the twisted spin index theorem. A detailed study of the quantum system is presented, and the Feynman propagator is exactly computed. The Green’s function methods provide a direct derivation of the index formula.
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