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Wedge-local observables in the deformed sine-Gordon model
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In the bootstrap approach to integrable quantum field theories in the (1+1)-dimensional Minkowski space, one conjectures the two-particle S-matrix and tries to study local observables. The massless sine-Gordon model is conjectured to be equivalent to the Thirring model, and its breather-breather S-matrix components (where the first breather corresponds to the scalar field of the sine-Gordon model) are closed under fusion. Yet, the residues of the poles in this breather-breather S-matrix have wrong signs and cannot be considered as a separate model. We find CDD factors which adjust the signs, so that the breather-breather S-matrix alone satisfies reasonable assumptions. Then we propose candidates for observables in wedge-shaped regions and prove their commutativity in the weak sense.
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Exact Schwinger functions for a class of bounded interactions in $d\geq 2$
Exact UV limits of connected Schwinger functions (n≠2) for bounded interactions in d≥2 equal tree-level 1PI functions of the erf(φ/√2) theory.
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