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The Thirring model with random couplings is a translationally invariantgeneralisation of the SYK model to 1+1 dimensions, which is tractable in thelarge N limit. We compute its two point function, at large distances, for anystrength of the random coupling. For a given realisation, the couplings containboth irrelevant and relevant marginal operators, but statistically, in thelarge N limit, the random couplings are overall always marginally irrelevant,in sharp distinction to the usual Thirring model. We show the leading term tothe $\beta$ function in conformal perturbation theory, which is quadratic inthe couplings, vanishes, while its usually subleading cubic term matches our RGflow.

Comments on the Random Thirring Model