An explicit evaluation of the spin asymmetry of the deuteron and the associated GDH sum rule is presented which includes disintegration, single and double pion and eta production. For the GDH integral a large cancellation is found between the disintegration channel and the meson production channels. Furthermore, first results for the contribution of the disintegration channel to the generalized...

We propose a system of nonlinear integral equations (NLIE) which describes the thermodynamics of the Uq( ̂ sl(r + 1)) Perk-Schultz model. These NLIE correspond to a trigonometric analogue of our previous result, and contain only r unknown functions. In particular, they reduce to Takahashi’s NLIE for the XXZ spin chain if r = 1. We also calculate the high temperature expansion of the free energy....

A two-parametric deformation of U [sl(2)], its representations and complex " spin " Abstract A two-parametric deformation of U [sl(2)] and its representations are considered. This newly introduced two-parametric quantum group denoted as U pq [sl(2)] admits a class of infinite-dimensional representations which have no classical (non-deformed) and one-parametric deformation analogues, even at gen...

The existence of perfect state transfer in quantum spin networks based on integral circulant graphs has been considered recently by Saxena, Severini and Shparlinski. We give the simple condition for characterizing integral circulant graphs allowing the perfect state transfer in terms of its eigenvalues. Using that we complete the proof of results stated by Saxena, Severini and Shparlinski. More...

Starting with free massless scalar and spinor fields described by a globally N = 1 supersymmetric action, infalling on a Schwarzschild black hole, the outgoing Hawking radiation is shown to break supersymmetry spontaneously, exactly as induced by a heat bath in Minkowski space, with no generation of Nambu-Goldstone fermions. Bose-fermi asymmetry appears to be intrinsic to the formulation of sin...

A gauge invariant Hamiltonian representation for SU(2) in terms of a spin network basis is introduced. The vectors of the spin network basis are independent and the electric part of the Hamiltonian is diagonal in this representation. The corresponding path integral for SU(2) lattice gauge theory is expressed as a sum over colored surfaces, i.e. only involving the jp attached to the lattice plaq...

The multilevel blocking algorithm recently proposed as a possible solution to the sign problem in path-integral Monte Carlo simulations has been extended to systems with long-ranged interactions along the Trotter direction. As an application, results for the real-time quantum dynamics of the spin-boson model are presented.

The Faddeev equations for the three-body bound state are solved directly as three-dimensional integral equations without employing partial wave decomposition. Two-body forces of the Mal iet-Tjon type and simple spin independent genuine three-body forces are considered for the calculation of the three-body binding energy.

We calculate the integrated trace anomaly for a real spin-0 scalar field in six dimensions in a torsionless curved space without a boundary. We use a path integral approach for a corresponding supersymmetric quantum mechanical model. Weyl ordering the corresponding Hamiltonian in phase space, an extra two-loop counterterm 1 8 (

Twistorial formulation of a particle of arbitrary spin has been constructed. Equations of twistor transformation are obtained for massive and massless spinning particles. Twistor space of the massive particle is formed by two twistors and two complex scalars. In the massive case, integral transformations relating twistor fields with usual space–time fields have been constructed.