A new helical SYK model in 1+1D is shown to have all quartic interactions marginally irrelevant, flowing to free integrable IR fixed point.
Comments on the Random Thirring Model
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
The Thirring model with random couplings is a translationally invariant generalisation of the SYK model to 1+1 dimensions, which is tractable in the large N limit. We compute its two point function, at large distances, for any strength of the random coupling. For a given realisation, the couplings contain both irrelevant and relevant marginal operators, but statistically, in the large N limit, the random couplings are overall always marginally irrelevant, in sharp distinction to the usual Thirring model. We show the leading term to the $\beta$ function in conformal perturbation theory, which is quadratic in the couplings, vanishes, while its usually subleading cubic term matches our RG flow.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A 2D disordered O(N) sigma model at large N exhibits a low-temperature spin glass phase with finite Edwards-Anderson parameter and approximate scaling in the dynamical two-point function.
citing papers explorer
-
The Helical SYK Model and Emergent Infrared Integrability
A new helical SYK model in 1+1D is shown to have all quartic interactions marginally irrelevant, flowing to free integrable IR fixed point.
-
The two-dimensional disordered $O(N)$ sigma model
A 2D disordered O(N) sigma model at large N exhibits a low-temperature spin glass phase with finite Edwards-Anderson parameter and approximate scaling in the dynamical two-point function.