125621539
Many Particle Regge Poles in Supersymmetric Theory
123678676
BRST-HAMILTONIAN APPROACH TO THE FIRST-QUANTIZED SUPERSTRING
Abstract The construction of the first-quantized BRST charge for the covariant Green-Schwarz superstring is obtained in the presence of the second-class constraints. The Lagrange multipliers for the second-class constraints are made into dynamical variables by use of the proper-time formalism. Problems with obtaining a Riemann surface description of multiloop amplitudes are briefly considered.
18719436
The measure in three dimensional Nambu-Goto string theory
Abstract We show that the measure of the three dimensional Nambu-Goto string theory has a simple decomposition as a measure on two parameter group of induced area-preserving transformations of the immersed surface and a trivial measure for the area of the surface.
121509244
THE DYNAMICS OF DIRAC FERMIONS ON SINGULAR SURFACES
The determinant of induced Dirac action for fermions living on a two-dimensional surface immersed with Whitney singularities into 3D Euclidean space is calculated exactly in Weyl invariant regularization.
8452544
Lattice electrons in constant magnetic field: Bethe like ansatz
We use the functional representation of Heisenberg–Weyl group and obtain equation for the spectrum of the model, which is more complicated than the Bethe ones, but can be written explicitly through theta functions.
19165882
Spin chain Hamiltonians with affine Uqg symmetry
Abstract We construct the family of spin chain Hamiltonians, which have affine U q g quantum group symmetry. Their eigenvalues coincides with the eigenvalues of the usual spin chain Hamiltonians which have non-affine U q g 0 quantum group symmetry, but have the degeneracy of levels, corresponding to affine U q g . The space of states of these chains are formed by the tensor product of the fully reducible representations.
118730390
Vortex formation in a rotating two-component Fermi gas
A two-component Fermi gas with attractive s-wave interactions forms a superfluid at low temperatures. When this gas is confined in a rotating trap, fermions can unpair at the edges of the gas and vortices can arise beyond certain critical rotation frequencies. We compute these critical rotation frequencies and construct the phase diagram in the plane of scattering length and rotation frequency for different total numbers of particles. We work at zero temperature and consider a cylindrically symmetric harmonic trapping potential. The calculations are performed in the Hartree-Fock-Bogoliubov approximation which implies that our results are quantitatively reliable for weak interactions.
16673517
MANY-BODY METHODS FOR NUCLEAR SYSTEMS AT SUBNUCLEAR DENSITIES
This article provides a concise review of selected topics in the many-body physics of low density nuclear systems. The discussion includes the condensation of alpha particles in supernova envelopes, formation of three-body bound states and the BEC-BCS crossover in dilute nuclear matter, and neutrino production in S-wave paired superfluid neutron interest for the astrophysics of compact objects. The "hot" stage of evolution of matter, in which temperatures are in the range of tens of MeV, is associated with the dynamics of supernova explosions. Knowledge of the equation of state, composition, and weak-interaction processes are of prime importance for an understanding the mechanism of explosion, the formation of neutrino spectra at the neutrinosphere, and the elemental abundances of the low-density matter in the supernova winds that are prerequisite for the onset of r-process nucleosynthesis. Days to weeks after the supernova explosion subnuclear matter has become "cold", with temperatures T < 0.1 MeV. Moreover, the properties of the subnuclear matter forming the crust of a neutron star are of fundamental importance for the entire spectrum of observable manifestations of pulsars, ranging for example from superfluid rotation dynamics to magnetic field evolution to neutrino cooling. Nuclear matter at subnuclear densities is a strongly correlated system in which the relevant degrees of freedom are well established and the interactions are con- strained by experiment. The challenge lies in the many-body treatment of this sys- tem where macroscopic quantum phenomena such as Bose-Einstein condensation of