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arxiv: hep-th/0301114 · v4 · submitted 2003-01-16 · ✦ hep-th

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q-Deformed Kink Solutions

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classification ✦ hep-th
keywords q-deformedkinkassociatedawaybosonicdimensionsdisplacedeigenfunction
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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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