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DY: Fachverband Dynamik und Statistische Physik
DY 3: Quantum-Critical Phenomena (joint session TT/DY)
DY 3.11: Talk
Monday, March 9, 2026, 12:15–12:30, HSZ/0101
Hybrid Monte Carlo on the fuzzy sphere for conformal critical phenomena — •Lidia Stocker1, Zheng Zhou2, Yin-Chen He3, Emilie Huffmann4, and Johannes Stephan Hofmann1 — 1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada — 3C. N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, NY, USA — 4Department of Physics, Wake Forest University, Winston-Salem, NC, USA
The fuzzy sphere regularization was recently introduced to study conformal symmetry in the 3D Ising transition [1]. Preliminary analysis with this approach showed excellent agreement with the state*operator correspondence, even though the size of the system considered was particularly restricted. Building on a sign-problem-free formulation of quantum many-body models on the fuzzy sphere [2], we extend the study to significantly larger system sizes using a hybrid Monte Carlo (HMC) scheme. In contrast to microscopic lattice models, we study the deconfined quantum critical point from a low-energy perspective and address whether the transition is of first- or second-order nature, assuming SO(5) symmetry. Our results demonstrate that HMC on the fuzzy sphere is a powerful and scalable framework for exploring conformal critical phenomena in models with many degrees of freedom.
[1] Phys. Rev. X 13, 021009 (2023)
[2] SciPost Phys. Core 7, 028 (2024)
Keywords: deconfined quantum critical point; fuzzy sphere; 3D Ising; hybrid Monte Carlo