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PreprintCC BY 4.0arXiv

Interaction dependence of the critical correlation length amplitude ratio in anisotropic scalar lattice ϕ4 theory

  • Leonie Müller
  • Stefan Wessel
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Abstract

We investigate critical correlations in the weakly anisotropic two-dimensional scalar lattice ϕ4 theory and demonstrate that a previously reported independence of the correlation length amplitude ratio from the local interaction strength does not hold. Monte Carlo simulations instead reveal a pronounced dependence of this ratio on the interaction strength. As the coupling is increased, the amplitude ratio interpolates between the continuum and Ising limits, highlighting a nontrivial interplay between lattice effects and local interactions. These findings call for a revised theoretical description of anisotropy effects at finite coupling in this prototypical lattice field theory.

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Cite

BibTeXRIS
BibTeX
@misc{muller2026interaction,
  title = {{Interaction dependence of the critical correlation length amplitude ratio in anisotropic scalar lattice $ϕ^4$ theory}},
  author = {Leonie Müller and Stefan Wessel},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35081},
  eprint = {2610.35081},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35081},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Interaction dependence of the critical correlation length amplitude ratio in anisotropic scalar lattice ϕ^4 theory
AU  - Leonie Müller
AU  - Stefan Wessel
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.35081
UR  - https://arxiv.org/abs/2610.35081
AB  - We investigate critical correlations in the weakly anisotropic two-dimensional scalar lattice ϕ^4 theory and demonstrate that a previously reported independence of the correlation length amplitude ratio from the local interaction strength does not hold. Monte Carlo simulations instead reveal a pronounced dependence of this ratio on the interaction strength. As the coupling is increased, the amplitude ratio interpolates between the continuum and Ising limits, highlighting a nontrivial interplay between lattice effects and local interactions. These findings call for a revised theoretical description of anisotropy effects at finite coupling in this prototypical lattice field theory.
ER  -