Abstract
The complete spectrum of the critical quantum Ashkin-Teller chain is solved exactly in the finite size scaling limit near the Ising decoupling point. The model is transformed into two spin 1 2 fermion systems, where the interaction energy in first order is proportional to the product of the subsystem magnetizations. The spectrum of the model consists of infinitely many conformal towers, and the anomalous dimensions of the different operators are consistent with the Gaussian form.
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