The Dirac operator in a fermion bag background in 1 + 1 dimensions and generalized supersymmetric quantum mechanics

Joshua Feinberg

doi:10.1063/1.1485114

The Dirac operator in a fermion bag background in 1 + 1 dimensions and generalized supersymmetric quantum mechanics

Joshua Feinberg

Department of Physics

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

Abstract

We show that the spectral theory of the Dirac operator D = i∂-σ(x) - iπ(x) γ₅, in a static background (σ(x), π(x)) in 1 + 1 space-time dimensions, is underlined by a certain novel generalization of supersymmetric quantum mechanics, and we explore some of its mathematical and physical consequences.

Original language	English
Pages (from-to)	3927-3936
Number of pages	10
Journal	Journal of Mathematical Physics
Volume	43
Issue number	8
DOIs	https://doi.org/10.1063/1.1485114
State	Published - 1 Aug 2002

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.1485114

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abstract = "We show that the spectral theory of the Dirac operator D = i∂-σ(x) - iπ(x) γ5, in a static background (σ(x), π(x)) in 1 + 1 space-time dimensions, is underlined by a certain novel generalization of supersymmetric quantum mechanics, and we explore some of its mathematical and physical consequences.",

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AB - We show that the spectral theory of the Dirac operator D = i∂-σ(x) - iπ(x) γ5, in a static background (σ(x), π(x)) in 1 + 1 space-time dimensions, is underlined by a certain novel generalization of supersymmetric quantum mechanics, and we explore some of its mathematical and physical consequences.

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The Dirac operator in a fermion bag background in 1 + 1 dimensions and generalized supersymmetric quantum mechanics

Abstract

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