Direct Experimental Test of Conformal Invariance via Grazing Scattering: A Proposal for X-ray and Neutron Experiments

arXiv:2605.06773 · cond-mat.stat-mech, cond-mat.mtrl-sci, cond-mat.soft, cond-mat.str-el, hep-th · Submitted 2026-05-07 · Read on arXiv

cond-mat.stat-mech, cond-mat.mtrl-sci, cond-mat.soft, cond-mat.str-el, hep-th

Submitted: 2026-05-07

Updated: 2026-09-24

Terminology

• Momentum transfer — 13× in this paper · explained in 2 episodes
• Accuracy — 9× in this paper · explained in 1 episode
• Phase Transitions — 6× in this paper · explained in 2 episodes
• Scaling Laws — 6× in this paper · explained in 4 episodes
• Verification — 4× in this paper · explained in 2 episodes
• Universality Class — 3× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Regularization — 1× in this paper · explained in 3 episodes

Sources

• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• Scale invariance vs conformal invariance
• Conformal invariance of the loop-erased percolation explorer
• Line defects in the 3d Ising model
• Conformal symmetry of the critical 3D Ising model inside a sphere
• Conformal invariance in three dimensional percolation
• Uncovering conformal symmetry in the $3D$ Ising transition: State-operator correspondence from a fuzzy sphere regularization
• Scaling limits of loop-erased random walks and uniform spanning trees
• Experimental evidence of conformal invariance in soap film turbulent flows
• Conformal bootstrap: from Polyakov to our times
• Critical Phenomena and Renormalization-Group Theory
• Probing critical phenomena in open quantum systems using atom arrays
• Tomonaga-Luttinger Liquid Behavior in a Rydberg-encoded Spin Chain
• Experimental observation of conformal field theory spectra
• The Theory of Boundary Critical Phenomena
• Is boundary conformal in CFT?
• The Bootstrap Program for Boundary CFT_d
• Conformal Field Theories Near a Boundary in General Dimensions
• Bootstrapping the 3d Ising Stress Tensor
• Boundary and Interface CFTs from the Conformal Bootstrap

Related papers

• Decoherence-controlled collective criticality in a two-dimensional quantum Stag Hunt
• Measurement-induced phase transitions in disordered fermions
• Quantum Thermalization beyond Non-Integrability and Quantum Scars in a Multispecies Bose-Josephson Junction
• Quantum many-body operator cascade as a route to chaos
• Proof of the absence of local conserved quantities in the Holstein model
• Work fluctuation speed limit in boundary conformal field theories