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Higgs- and Skyrme-Chern-Simons densities in all dimensions

Tchrakian, D.H.

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Abstract

Two types of new Chern-Simons (CS) densities, both defined in all odd and even dimensions, are \nproposed. These new CS densities feature a scalar field interacting with a scalar. In one case this is a \nHiggs scalar while in the other it is a Skyrme scalar. The motivation is to study the effects of adding \nthese new CS terms to a Lagrangian which supports static soliton solutions prior to their introduction.

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What this paper is about

Two types of new Chern-Simons (CS) densities, both defined in all odd and even dimensions, are \nproposed. These new CS densities feature a scalar field interacting with a scalar. In one case this is a \nHiggs scalar while in the other it is a Skyrme scalar. The motivation is to study the effects of adding \nthese new CS terms to a Lagrangian which supports static soliton solutions prior to their introduction.

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OpenAlex reports 16 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Two types of new Chern-Simons (CS) densities, both defined in all odd and even dimensions, are \nproposed. These new CS densities feature a scalar field interacting with a scalar. In one case this is a \nHiggs scalar while in the other it is a Skyrme scalar. The motivation is to study the effects of adding \nthese new CS terms to a Lagrangian which supports static soliton solutions prior to their introduction.

Key concepts: Higgs boson, Chern–Simons theory, Scalar (mathematics), Scalar field, Lagrangian, Physics, Mathematical physics, Soliton

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