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math-ph2026
Spontaneous symmetry breaking at any temperature in a local one-dimensional model
Andrew Lucas
We present a one-dimensional classical statistical physics model on an infinite lattice with nearest-neighbor interactions and local state space , with a ``helical" s…
cond-mat.str-el2026
Interaction corrections to topological density three-point functions in two-dimensional Fermi liquids: a coadjoint orbit perspective
Akshay Pal, Andrew Lucas, Umang Mehta
Density three-point correlations are known to probe the topology of the Fermi sea in two-dimensional noninteracting systems. Here, we study how these correlations are modified by i…
hep-th2026
Non-perturbative saturation of Krylov complexity, and its implications in quantum gravity
Andrew Lucas, Amit Vikram
We study the dynamics of Krylov state complexity in finite-dimensional quantum systems. Orthogonal polynomials built on a discrete energy spectrum crowd away from regions where the…