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June 6, 2026Open Access

Quantum Corrections to the Kink Dispersion Relation from an Internal Shape Mode

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Authors

ATAlexander TimmermansAKAnton Kalmykov

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Overview

Randomized trial computes quantum effects on energy-momentum relation in kinks, suggesting new insights on effective mass.

Key Points

  • The research aims to compute the quantum corrections to the energy-momentum relation of kinks with internal shape modes.
  • Utilized a model-independent approach assuming the existence of linearised internal modes.
  • Applied perturbative Darboux diagonalisation to derive a classical Hamiltonian in the non-relativistic regime.
  • Employed second-order perturbation theory to analyze momentum-dependent energy shifts.
  • The momentum-dependent energy shift 00000 is calculated as 1000= -212\u001E000 ight rac{2000}{20} ight",
  • The curvature of the energy-momentum relation is reduced, indicating an increase in the kink's effective kinetic mass.
  • Findings provide a quantum observable within the geometric subsystem quantisation framework applicable to kinks with internal modes.

Cite This Study

Timmermans et al. (2006) studied this question.

synapsesocial.com/papers/6a23bb9a71a5da9775e770cchttps://doi.org/10.5281/zenodo.20547600
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