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June 6, 2026Open Access

Limitations and Extensions of the Universal Kink Quantisation Theorem: Non‑standard kinetic terms and the renormalisation of the kink mass

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Authors

ATAlexander TimmermansAKAnton Kalmykov

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Overview

Randomized trial examines the effects of non-standard kinetic terms on kink mass in scalar field theories, indicating implications for theoretical physics.

Key Points

  • This research investigates the impact of non-standard kinetic terms on the universal kink quantisation theorem and the kink mass renormalisation.
  • Utilized a K-field model with a power-law kinetic function to analyze non-canonical kinetic terms.
  • Examined the translational symplectic form and effective momentum in relation to the kink profile.
  • The static first integral is generally lost with non-canonical terms, yet the translational symplectic form reduces to a canonical pair.
  • The effective mass, a modified integral over the static kink profile, renormalises without disrupting the canonical symplectic structure.

Cite This Study

Timmermans et al. (2026) studied this question.

synapsesocial.com/papers/6a23bbbb71a5da9775e772b2https://doi.org/10.5281/zenodo.20548521
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Also Consider

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  1. 121. New Applications of the Universal Kink Quantisation Theorem: Explicit examples beyond the standard models2026
  2. 203. Universal Quantization of the Translational Mode of Relativistic Kinks - A geometric pullback theorem for scalar field theories with vacuum degeneracy2026
  3. 3Universal Quantization of the Translational Mode of Relativistic Kinks - A geometric pullback theorem for scalar field theories with vacuum degeneracy2026
  4. 409.01. Exact Symplectic Form and Hamiltonian on the Kink-Antikink Superposition Ansatz2026
  5. 520. Quantum Corrections to the Kink Dispersion Relation from an Internal Shape Mode2006