20,439 research outputs found
The 8V CSOS model and the loop algebra symmetry of the six-vertex model at roots of unity
We review an algebraic method for constructing degenerate eigenvectors of the
transfer matrix of the eight-vertex Cyclic Solid-on-Solid lattice model (8V
CSOS model), where the degeneracy increases exponentially with respect to the
system size.
We consider the elliptic quantum group at the discrete
coupling constants: , where and are
integers. Then we show that degenerate eigenvectors of the transfer matrix of
the six-vertex model at roots of unity in the sector (mod )
are derived from those of the 8V CSOS model, through the trigonometric limit.
They are associated with the complete strings. From the result we see that
the dimension of a given degenerate eigenspace in the sector
(mod ) of the six-vertex model at th roots of unity is given by
, where is the maximal value of the total spin
operator in the degenerate eigenspace.Comment: 7 pages, no figure, conference proceeding
Proposal to observe the strong Van der Waals force in e+\bar{e} -> 2 \pi
Large discrepancy of the p-wave phase shift data of the
- scattering from those of the dispersion calculation is pointed out.
In order to determine which is correct, the pion form factor ,
which is the second source of information of the phase shift ,
is used. It is found that the phase shift obtained from the dispersion is not
compatible with the data of the pion form factor. What is wrong with the
dispersion calculation, is considered.Comment: 7 pages, 7eps figure
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