118895506
From integrable models to gauge theories : a volume in honor of Sergei Matinyan
3D Ising model on dual BCC lattice - the sign-factor, J. Ambjorn et al on algebra of the Baxter Q-operators, A.A. Belavin and R.A. Usmanov aspect of locality in the form factor programme, O.A. Castro-Alvaredo and A. Fring on the origin of symmetries, J.L. Chkareuli generalization of magnetic fields in cosmology, A.D. Dolgov the coefficients of the Seiberg-Witten prepotential as interaction numbers, R. Flume et al on the cosmological constant and vacuum energy, V.G. Gurzadyan and S.S. Xue topics in Parton model, O.V. Kancheli Bjorken asymptotics of QCD and integrable systems, D. Karakhanyan and R. Kirschner entropy and area of black holes in loop quantum gravity, I.B. Khriplovich statistical ensembles and density of states, V. Kostrykin and R. Schrader the anthropic principle revisited, B. Mueller fundamental units, L.B. Okun structure constant of boundary operators in Liouville field theory, B. Ponsot and J. Teschner winding number versus Chern-Pontryagin charge, T. Tchrakian magnetically induced vacuum-energy releasing, S.S. Xue. (Part contents)
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.
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.
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.
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.
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.
119190505
Kubo formulas for relativistic fluids in strong magnetic fields
Magnetohydrodynamics of strongly magnetized relativistic fluids is derived in the ideal and dissipative cases, taking into account the breaking of spatial symmetries by a quantizing magnetic field. A complete set of transport coefficients, consistent with the Curie and Onsager principles, is derived for thermal conduction, as well as shear and bulk viscosities. It is shown that in the most general case the dissipative function contains five shear viscosities, two bulk viscosities, and three thermal conductivity coefficients. We use Zubarev's non-equilibrium statistical operator method to relate these transport coefficients to correlation functions of the equilibrium theory. The desired relations emerge at linear order in the expansion of the non-equilibrium statistical operator with respect to the gradients of relevant statistical parameters (temperature, chemical potential, and velocity.) The transport coefficients are cast in a form that can be conveniently computed using equilibrium (imaginary-time) infrared Green's functions defined with respect to the equilibrium statistical operator. - Highlights: > Strong magnetic fields can make charged fluids behave anisotropically. > Magnetohydrodynamics for these fluids contains 5 shear, 2 bulk viscosities, and 3 heat conductivities. > We derive Kubo formulas for these transport coefficients.
119037326
Damping of differential rotation in neutron stars
A broad class of problems related to the nonequilibrium spin dynamics of pulsars requires the knowledge of the fraction of neutron star fluid interiors which is coupled to the crusts on short ~unobservable! time scales. In practice, one needs to identify the fraction of the moment of inertia of the superfluid in the core of the star which is responding to spin perturbations as a rigid body. A large amount of matter in neutron star models based on the modern, moderately soft, equations of state ~EoS! resides at and above twice the nuclear matter density. The knowledge of the state of the matter above these densities is limited, in particular with respect to nucleonic pairing, strangeness content, etc.; thus one is led to consider several admissible variants of the composition of matter when treating the problem of transport. Here we shall adopt this type of an approach and examine phases with purely nucleonic constituents and those containing hypernuclear matter at large densities. Several electromagnetic channels of interaction between the electrons and the nucleonic superfluids in the quantum liquid cores of neutron stars have been invoked as mechanisms of coupling of the superfluid to the normal matter @1‐5#. Relativistic electrons couple to the anomalous magnetic moment of the neutron quasiparticles localized in the cores of vortex lines @1#. At the densities of interest, the pairing in neutron matter is driven by the attractive P-wave interaction; a neutron vortex in a rotating 3 P 2 superfluid acquires an intrinsic magnetization due to the pairing in the l51 state @2#. The electron coupling to this magnetization dominates the coupling to the neutron magnetic moment at low temperatures @2#. If protons are superconducting even larger magnetization comes about from the entrainment effect @3,5#; in addition the proton superconductor in the mixed state might mediate the coupling between the superfluid neutron and electron fluids @5#. In this Rapid Communication we examine the nuclear interaction channels of coupling between the neutron vortex lines and the bulk quasiparticles; we show that ~1! when protons are normal their scattering off the neutron vortex lines dominates electromagnetic coupling channels at all relevant densities and temperatures, and ~2! if protons are superconducting, the scattering of normal ~nonsuperfluid ! heavy baryons off vortices dominates the electromagnetic coupling at the core temperatures T>10 7 K.