One-point functions in integrable coupled minimal models

Abstract

We propose exact vacuum expectation values of local fields for a quantum group restriction of the $C_2^{(1)}$ affine Toda theory which corresponds to two coupled minimal models. The central charge of the unperturbed models ranges from $c=1$ to $c=2$, where the perturbed models correspond to two magnetically coupled Ising models and Heisenberg spin ladders, respectively. As an application, in the massive phase we deduce the leading term of the asymptotics of the two-point correlation functions.

18 pages, LaTeX with amstex, epsfig; v2: typos corrected and refs added; v3: important modifs in the text (intro + last part), refs added; v4: title, abstract and intro changed, energy-energy coupled 3-state Potts models considered in ex. 4, version to appear in Nucl. Phys. B

References in corpus (2)

• Expectation values of local fields for a two-parameter family of integrable models and related perturbed conformal field theories
• Reflection Amplitudes in Non-Simply Laced Toda Theories and Thermodynamic Bethe Ansatz

Cited by in corpus (4)

• Liouville field theory coupled to a critical Ising model: Non-perturbative analysis, duality and applications
• Mesons in a quantum Ising ladder
• Perturbative test of exact vacuum expectation values of local fields in affine Toda theories
• Thermally activated detection of dark particles in a weakly coupled quantum Ising ladder