q-Deformed Kink Solutions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Details

REvtex, 11 pages, 2 figures. Preprint CBPF-NF-005/03, site at http://www.cbpf.br. Revised version to appear in International J

Scientific paper

10.1142/S0217751X06031375

The q-deformed kink of the $\lambda\phi^4-$model is obtained via the
normalisable ground state eigenfunction of a fluctuation operator associated
with the q-deformed hyperbolic functions. From such a bosonic zero-mode the
q-deformed potential in 1+1 dimensions is found, and we show that the
q-deformed kink solution is a kink displaced away from the origin.

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