Browsing by Subject "Mathematics"
Now showing items 1-20 of 98
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A study of the attitudes of fourth and fifth class pupils in one school towards mathematical problem-solving
(2019-05)The fundamental goal of this research is to investigate the attitudes of fourth and fifth-class pupils in one school to to mathematical problem-solving. Problem-solving is a key element of mathematical teaching and learning ... -
The AdS(5) x S**5 superstring in light-cone gauge and its Bethe equations.
(Institute of Physics, 2006)We use the uniform light-cone gauge to derive an exact gauge-fixed Lagrangian and light-cone Hamiltonian for the Green-Schwarz superstring in AdS5?S5. We then quantize the theory perturbatively in the near plane-wave ... -
Analytic Besov spaces and Hardy-type inequalities in tube domains over symmetric cones
(2010)We give various equivalent formulations to the (partially) open problem about Lp-boundedness of Bergman projections in tubes over cones. Namely, we show that such boundedness is equivalent to the duality identity between ... -
Antisymmetric tensor field on AdS(5)
(Elsevier, 1998)By using the Hamiltonian version of the AdSrCFT correspondence, we compute the two-point Green function of a local operator in Ds4 Ns4 super Yang-Mills theory, which corresponds to a massive antisymmetric tensor field of ... -
Bethe ansatz for quantum strings
(Institute of Physics, 2004)We propose Bethe equations for the diagonalization of the hamiltonian of quantum strings on AdS 5 ? S 5 at large string tension and restricted to certain large charge states from a closed (2) subsector. The ansatz differs ... -
Canonical quantization of the degenerate WZ action including chiral interaction with gauge fields
(World Scientific, 1996)Canonical quantization of the Wess-Zumino (WZ) model including chiral interaction with gauge field is considered for the case of a degenerate action. The two-dimensional SU(2) Yang-Mills model and the four-dimensional ... -
The centre of the graph and moduli algebras at roots of 1
(Springer Verlag, 1999)The structure of the centres Z(Lg) and Z(Mg) of the graph algebra Lg(sl2) and the moduli algebraMg(sl2) is studied at roots of 1. It it shown that Z(Lg) can be endowed with the structure of the Poisson graph algebra. The ... -
Change in a product between 2 states as the symmetrical sum of changes in each of its factors
(Economic & Social StudiesDUBLIN, 1983)This paper is concerned with the algebraic problem of expressing the change in a product purely in terms of changes in its factors; denoting two states by 1 and 2 (indicated by superscripts) and defining variables X; (i = ... -
The chirally rotated Schrodinger functional with Wilson fermions and automatic O(a) improvement
(2011)A modified formulation of the Schrodinger functional (SF) is proposed. In the continuum it is related to the standard SF by a non-singlet chiral field rotation and therefore referred to as the chirally rotated SF (?SF). ... -
An Effective Theory of Superfluid Turbulence from Local Scale Invariance
(2011)An effective locally scale invariant model is constructed using Weyl?s method starting from a free Schroedinger equation. The model requires additional gauge and gravitational degrees of freedom. It is suggested that this ... -
Elliptic Ruijsenaars-Schneider model from the cotangent bundle over the two-dimensional current group
(American Institute of Physics, 1997)It is shown that the elliptic Ruijsenaars?Schneider model can be obtained from the cotangent bundle over the two-dimensional current group by means of the Hamiltonian reduction procedure. -
Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the Affine Heisenberg Double
(Institute of Physics, 1997)It is shown that the elliptic Ruijsenaars-Schneider model can be obtained from the affine Heisenberg Double by means of the Poisson reduction procedure. The dynamical r-matrix naturally appears in the construction. -
Excited-Nucleon Spectroscopy with 2+1 Flavour Fermions
(2009)We present progressmade by the Hadron SpectrumCollaboration (HSC) in determining the tower of excited nucleon states using 2+1-flavor anisotropic clover lattices. The HSC has been investigating interpolating operators ... -
Existence of ground states for fourth-order wave equations
(Elsevier, 2010)Focusing on the fourth-order wave equation utt+?2u+f(u)=0, we prove the existence of ground state solutions u=u(x+ct) for an optimal range of speeds and a variety of nonlinearities f. -
Finite-size Effects from Giant Magnons.
(Elsevier, 2007)In order to analyze finite-size effects for the gauge-fixed string sigma model on AdS5?S5, we construct one-soliton solutions carrying finite angular momentum J. In the infinite J limit the solutions reduce to the recently ...