7 research outputs found
Quantum integrability of sigma models on AII and CII symmetric spaces
Exact massive S-matrices for two dimensional sigma models on symmetric spaces
SU(2N)/Sp(N) and Sp(2P)/Sp(P)*Sp(P) are conjectured. They are checked by
comparison of perturbative and non perturbative TBA calculations of free energy
in a strong external field. We find the mass spectrum of the models and
calculate their exact mass gap.Comment: 11 p., minor correction
Anomalous finite size spectrum in the S=1/2 two dimensional Heisenberg model
We study the low energy spectrum of the nearest neighbor Heisenberg model on
a square lattice as a function of the total spin S. By quantum Monte Carlo
simulation we compute this spectrum for the s=1/2, s=1 and s=3/2 Heisenberg
models. We conclude that the nonlinear sigma model prediction for the low
energy spectrum is always verified for large enough system size. However the
crossover to the correct scaling regime is particularly slow just for the s=1/2
Heisenberg model. The possibility to detect this unexpected anomaly with finite
temperature experiments on s=1/2 isotropic quantum antiferromagnets is also
discussed.Comment: 4 pages, RevTeX + 5 encapsulated postscript figure
Spin correlations in an isotropic spin-5/2 two-dimensional antiferromagnet
We report a neutron scattering study of the spin correlations for the spin
5/2, two-dimensional antiferromagnet Rb_2MnF_4 in an external magnetic field.
Choosing fields near the system's bicritical point, we tune the effective
anisotropy in the spin interaction to zero, constructing an ideal S=5/2
Heisenberg system. The correlation length and structure factor amplitude are
closely described by the semiclassical theory of Cuccoli et al. over a broad
temperature range but show no indication of approaching the low-temperature
renormalized classical regime of the quantum non-linear sigma model.Comment: 4 pages, 3 EPS figure
Odderon and Pomeron from the Vacuum Correlator Method
Glueball masses with J<=7 are computed both for C=+1 and C=-1 using the
string Hamiltonian derived in the framework of the Vacuum Correlator Method. No
fitting parameters are used, and masses are expressed in terms of string
tension and effective value of . We extend the calculations
done for J<=3 using the same Hamiltonian, which provided glueball masses in
good agreement with existing lattice data, to higher mass states. It is shown
that 3^{--}, 5^{--} and 7^{--} states lie on the odderon trajectories with the
intercept around or below 0.14. Another odderon trajectory with 3g glueballs of
Y-shape, corresponds to 11% higher masses and low intercept. These findings are
in agreement with recent experimental data, setting limits on the odderon
contribution to the exclusive reactions.Comment: 16 pages. Journal version. To be published in Phys.Lett.
Glueball spectrum and the Pomeron in the Wilson loop approach
Using a nonperturbative method based on asymptotic behaviour of Wilson loops
we calculate masses of glueballs and corresponding Regge-trajectories. The only
input is string tension fixed by meson Regge slope, while perturbative
contributions to spin splittings are defined by standard alpha_s values. The
masses of lowest glueball states are in a perfect agreement with lattice
results. The leading glueball trajectory which is associated with Pomeron is
discussed in details and its mixing with f and f' trajectories is taken into
account.Comment: LaTeX2e, 49 pages, 2 figure