Asymptotic expansion of eigenvalues for the MIT bag model

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Date(s) - 27/04/2017
15 h 30 min - 16 h 30 min


In this talk we present some spectral asymptotic results of the MIT bag model. This model is the Dirac operator, −iα · ∇ + mβ, defined on a smooth and bounded domain of R3 , Ω, with certain boundary conditions. Specifically, −iβ(α · n)ψ = ψ must hold at the boundary of Ω, where n is the outward normal vector and ψ ∈ H 1 (Ω, C^4 ). This model was developed to get a better understanding of the phenomenons involved in the quark-gluon confinement. We study the self-adjointness of the operator and describe the limiting behavior of the eigenvalues of the MIT bag Dirac operator as the mass m tends to ±∞. This is a joint work with N. Arrizabalaga and N. Raymond.

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