2018•Physics Letters BOpen access

Soft supersymmetry breaking in the nonlinear sigma model

L. Ibiapina Beviláqua, A. C. Lehum, A.J. da Silva

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Abstract

In this work we discuss the dynamical generation of mass in a deformed N=1 supersymmetric nonlinear sigma model in a two-dimensional (D=1+1) space–time. We introduce the deformation by imposing a constraint that softly breaks supersymmetry. Through the tadpole method, we compute the effective potential at leading order in 1/N expansion showing that the model exhibit a dynamical generation of mass to the matter fields. Supersymmetry is recovered in the limit of the deformation parameter going to zero.

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In this work we discuss the dynamical generation of mass in a deformed N=1 supersymmetric nonlinear sigma model in a two-dimensional (D=1+1) space–time. We introduce the deformation by imposing a constraint that softly breaks supersymmetry. Through the tadpole method, we compute the effective potential at leading order in 1/N expansion showing that the model exhibit a dynamical generation of mass to the matter fields. Supersymmetry is recovered in the limit of the deformation parameter going to zero.

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Available abstract

In this work we discuss the dynamical generation of mass in a deformed N=1 supersymmetric nonlinear sigma model in a two-dimensional (D=1+1) space–time. We introduce the deformation by imposing a constraint that softly breaks supersymmetry. Through the tadpole method, we compute the effective potential at leading order in 1/N expansion showing that the model exhibit a dynamical generation of mass to the matter fields. Supersymmetry is recovered in the limit of the deformation parameter going to zero.

Key concepts: Supersymmetry, Sigma model, Physics, Sigma, Tadpole (physics), Limit (mathematics), Supersymmetry breaking, Nonlinear system

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