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.

Cadamuro, D., Tanimoto, Y. (2018). Wedge-local observables for factorizing S-matrix with gap in the coupling constant. REVIEWS IN MATHEMATICAL PHYSICS, 30(4) [10.1142/S0129055X18500101].

Wedge-local observables for factorizing S-matrix with gap in the coupling constant

Yoh Tanimoto
2018

Abstract

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.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - Analisi Matematica
English
JSPS overseas fellowship
https://doi.org/10.1142/S0129055X18500101
Cadamuro, D., Tanimoto, Y. (2018). Wedge-local observables for factorizing S-matrix with gap in the coupling constant. REVIEWS IN MATHEMATICAL PHYSICS, 30(4) [10.1142/S0129055X18500101].
Cadamuro, D; Tanimoto, Y
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/216355
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