Quantum vacuum interaction between two sine-Gordon kinks

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, 4 figures

Scientific paper

We calculate the quantum vacuum interaction energy between two kinks of the
sine-Gordon equation. Using the $TGTG$--formula, the problem is reduced to the
known formulas for quantum fluctuations in the background of a single kink.
This interaction induces an attractive force between the kinks in parallel to
the Casimir force between conducting mirrors.

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