Download PDF by M. Jimbo, T. Miwa, A. Tsuchiya: Integrable Sys Quantum Field Theory

By M. Jimbo, T. Miwa, A. Tsuchiya

Chosen papers provided at symposia on the learn Institute for Mathematical Sciences in Kyoto and at Kyuzeso in Katata in October 1988. Annotation copyright booklet information, Inc. Portland, Or

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Thus triplets of excitations do not change the Z$ charge. 1) lim πΐρ/Λ/ > 0. We first must determine the equation for the vt. 1) of 2Ρ +ρ ο'ω * ' Chiral Potts Model 29 1=1 m (4-2) + (ic - i)" { t _ Ι ^ Ρ . 4) (έ\±*γΤ = _ Ω- ( Ρ . + Λ ) TT(ütZ^). 36) where now t h e it are t h e real roots of the polynomial p(t) = t - ( p . 6) £? = 0 , P 6 = 0, 2Ρα-Λ/ = 0, mod3 G. Albertini, Μ. H. Perk 30 where linear t e r m = 0 for λί ΞΞ 0 m o d 3 -2(1 + λ ) for λί ΞΞ 1 mod 3 - ( l + λ) for λί ΞΞ 2 m o d 3. 9) EU{P, X, mp) - E°U(X; 0) = - 3 ( m B - m%)\l - X\ 1/2 2πι Jcn [ dt ) Po{t) 1- i 3 j = 2 r a p | l - λ| 1±λ ,2 / 3 4A d,_,P(t),, π Ji = 2mp|l-A| + 3 _L V /*ΐι-λΙ * !

19), the RHS is in the form jj, so it must be understood as lim fq,Rq>. 5) %P = e~ ' 2 + {(fp9qfq,p)*^j>,Ä / M {fp,RqfRq,p) Tp,q q 33 2 \ λ fp,RS q/ß3g,p/p,ß4q f RAq^p where only fPyqfq,P need to be computed, the other coefficients being obtained applying t h e automorphism R to the q variables. 6) s , (k, t) = Σ w; (k - i)wi (i p q tq P -1) G. Albertini, Μ. H. Perk 42 and specialize ( A . l ) to t h e case r = q. 18). 8) = /p,g/ g ,p

18). 8) = /p,g/ g ,p

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