= Faddeev-Zamolodchikov algebra
{c}
{title2=$A_i(\theta_1)A_j(\theta_2)=S_{ij}^{kl}(\theta_{12})A_l(\theta_2)A_k(\theta_1)$}
= Zamolodchikov-Faddeev algebra
{c}
{synonym}
Particle operators obey a rapidity-dependent exchange rule $A_i(\theta_1)A_j(\theta_2)=S_{ij}^{kl}(\theta_1-\theta_2)A_l(\theta_2)A_k(\theta_1)$, with repeated species indices summed. A consistent <associative algebra> must give the same coefficients when a triple product is brought to decreasing or increasing <rapidity> order by either sequence of adjacent exchanges. This is the <Faddeev-Zamolodchikov associativity constraint>. Rapidity ordering here is distinct from the creation/annihilation convention of ordinary <normal ordering>.
Back to article page
