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An Extended Soliton's Zero Modes

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arxiv 2507.18922 v1 pith:HBYPUAOK submitted 2025-07-25 hep-th

classification hep-th
keywords quantumextendedmodessolitonszerodomainfieldsoliton
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Quantum field theory in the presence of localized solitons is more complicated than vacuum sector quantum field theory, largely as a result of the soliton's zero modes. In the present work, we try to understand to what extent this situation carries over to extended solitons. To this end, we explicitly construct the quantum state corresponding to a domain wall string or membrane, treating the zero modes carefully. This is done both for compact and also infinitely extended solitons. As an application, we calculate the differential probability for a domain wall string's translation mode, with a given momentum, to be excited by a single quantum of incoming radiation.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Spontaneous symmetry breaking on graphs and lattices

    cond-mat.dis-nn 2025-12 unverdicted novelty 7.0 of 10

    Spontaneous symmetry breaking on graphs and lattices is controlled by the spectral dimension and generalizations of resistance distance and the Kirchhoff index.

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