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Soliton solutions for a classical field theory withZ(3) symmetry

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Il Nuovo Cimento A (1971-1996)

Summary

We construct a matrix scalar nonlinear fieldA by using the Yang-Mills SU(2) component fieldsA aµ in 1+1 dimensions. Under quite general gauge invariance properties ofA and its Lagrangian density, this field can be given a very simple dynamical description in terms of two real scalar fields and a Z(3) discrete symmetry. As a matter of fact, what we present here is the Lagrangian formulation of these two scalar fields, put in interaction by a generic quartic polynomial term. The simplest localized solutions of finite energy and their interactions are thus deduced analytically or numerically. Quite general results concerning theA field and the shape of its potential self-energy are also included.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Roma I “La Sapienza” INFN, Sezione di Roma — P.le Aldo Moro 2, I-00185, Roma, Italy

    F. Tinebra

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  1. F. Tinebra
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Tinebra, F. Soliton solutions for a classical field theory withZ(3) symmetry. Il Nuovo Cimento A (1971-1996) 110, 405–417 (1997). https://doi.org/10.1007/BF03035890

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  • DOI: https://doi.org/10.1007/BF03035890

PACS 11.15

PACS 02.20.Df

PACS 03.50

PACS 52.35.Nx

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