Skip to content
DraconiticResearch
Search Sources API
186,123 studies31 sourcesUpdated 30 min ago
PreprintarXiv licencearXiv

Phase transitions of a cubic Casimir matrix model on the fuzzy sphere

  • Edgar Guzmán-González
  • Marco Maceda
  • Andrés Tornero
Open at sourcePDFDOICite

Abstract

In this work, we analyse the phase transitions of a higher derivative matrix model on the fuzzy space, where the kinetic term is a cubic polynomial on the Casimir invariant. The phase transitions of the model are determined numerically and the presence of a triple point is exhibited. The associated critical values of the coupling parameters are calculated numerically and compared with the linear and quadratic Casimir models, showing that the cubic Casimir kinetic term helps to reduce the UV/IR mixing in these models.

Related

  1. Phase transitions of the antiferromagnetic J1-J2-J3 Ising model on the cubic lattice
    Kai-Wei Huang, Chien-Ting Chen, Shang-Wei Li +1
    arXivPreprintarXiv licenceFull textStatistical & nonlinear physicsarXiv
  2. Scalar Casimir Effect on a Two-Dimensional Sphere with a Wu--Yang Magnetic Monopole
    Jun-Cheng Zhang, Xiao-Yin Pan, Juhao Wu +1
    arXivPreprintCC0Full textGravitation & general relativityHigh-energy & particle physicsarXiv
  3. A Colour-Casimir Adjacency Matrix Approach to Fully-Heavy Tetraquarks
    M. Monemzadeh, N. Tazimi
    arXivPreprintCC0Full textMathematical physicsHigh-energy & particle physicsarXiv
  4. Diagonal Pair Coulomb Density Matrix on a Sphere: a numerical study
    Riccardo Fantoni
    arXivPreprintarXiv licenceFull textComputational physicsCondensed matterarXiv
  5. Conformal data for the O(2) Wilson-Fisher CFT in (2+1)-dimensional spacetime from exact diagonalization and matrix product states on the fuzzy sphere
    Arjun Dey, Loic Herviou, Christopher Mudry +2
    SciPost PhysicsPeer-reviewedCC BY 4.0Full textAtomic, molecular & optical physicsCrossref

Cite

BibTeXRIS
BibTeX
@misc{guzmangonzalez2026phase,
  title = {{Phase transitions of a cubic Casimir matrix model on the fuzzy sphere}},
  author = {Edgar Guzmán-González and Marco Maceda and Andrés Tornero},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32552},
  eprint = {2610.32552},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32552},
}
RIS
TY  - UNPB
TI  - Phase transitions of a cubic Casimir matrix model on the fuzzy sphere
AU  - Edgar Guzmán-González
AU  - Marco Maceda
AU  - Andrés Tornero
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32552
UR  - https://arxiv.org/abs/2610.32552
AB  - In this work, we analyse the phase transitions of a higher derivative matrix model on the fuzzy space, where the kinetic term is a cubic polynomial on the Casimir invariant. The phase transitions of the model are determined numerically and the presence of a triple point is exhibited. The associated critical values of the coupling parameters are calculated numerically and compared with the linear and quadratic Casimir models, showing that the cubic Casimir kinetic term helps to reduce the UV/IR mixing in these models.
ER  -