Pure & Applied Mathematics: Recent submissions
Now showing items 181-200 of 393
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Formal and finite order equivalences
(2011)We show that two families of germs of real-analytic subsets in Cn are formally equivalent if and only if they are equivalent of any finite order. We further apply the same technique to obtain analogous statements for ... -
A Cauchy-Kowalevsky theorem for overdetermined systems of nonlinear partial differential equations and geometric applications.
(Taylor & Francis, 2009)The main motivation for the work presented in this paper is to construct real hypersurfaces in Cn+1 with maximal Levi number (see below for the definition), a problem that has been open since Levi numbers were introduced ... -
Dispersion relation for water waves with non-constant vorticity
(2012)We derive the dispersion relation for linearized small-amplitude gravity waves for various choices of non-constant vorticity. To the best of our knowledge, this relation is only known explicitly in the case of constant ... -
Stability of QED
(2011)It is shown for a class of random, time-independent, square-integrable, three-dimensional magnetic fields that the one-loop effective fermion action of four-dimensional QED increases faster than a quadratic in B in the ... -
Charmonium spectroscopy from an anisotropic lattice study
(2011)We present a progress report on our study of the charmonium spectrum in full QCD on anisotropic lattices generated by the Hadron Spectrum Collaboration. We adopt a large basis of interpolating operators to extract the ... -
Haldane limits via Lagrangian embeddings
(Elsevier, 2012)In the present paper we revisit the so-called Haldane limit, i.e. a particular continuum limit, which leads from a spin chain to a sigma model. We use the coherent state formulation of the path integral to reduce the problem ... -
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 ... -
Bottomonium at Non-zero Temperature from Lattice Non-relativistic QCD
(2012)The temperature dependence of bottomonium states at temperatures above and below $T_c$ is presented, using non-relativistic dynamics for the bottom quark and full relativistic lattice QCD simulations for two light flavors ... -
Bottomonium above deconfinement in lattice nonrelativistic QCD
(American Physical Society, 2011)We study the temperature dependence of bottomonium for temperatures in the range 0.4Tc<T<2.1Tc, using nonrelativistic dynamics for the bottom quark and full relativistic lattice QCD simulations for Nf=2 light flavors on a ... -
Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD
(2011)A new method of stochastically estimating the low-lying effects of quark propagation is proposed which allows accurate determinations of temporal correlations of single-hadron and multihadron operators in lattice QCD. The ... -
Isoscalar meson spectroscopy from lattice QCD
(2011)We extract to high statistical precision an excited spectrum of single-particle isoscalar mesons using lattice QCD, including states of high spin and, for the first time, light exotic J(PC) isoscalars. The use of a novel ... -
Testing universality and automatic O(a) improvement in massless lattice QCD with Wilson quarks
(Proceedings of Science, 2010)The chirally rotated Schrodinger functional provides a test bed for universality and automatic O(a) improvement. We here report on extensive quenched simulations of lattice QCD with Wilson quarks in the massless limit. ... -
Non-perturbative running of the coupling from four flavour lattice QCD with staggered quarks
(2010)Using the Schrodinger functional (SF) with a single staggered fermion field we calculate the SF coupling in four-flavour QCD for a wide range of energies and lattice sizes up to L/a = 16. Preliminary results for the ... -
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 ... -
Phase shift of isospin-2 pi pi scattering from lattice QCD
(2011)Finite-volume lattice QCD calculations offer the possibility of extracting resonance parameters from the energy-dependent elastic phase-shift computed using the Luscher technique. In this letter, as a trial of the method, ... -
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). ... -
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 ... -
Operator ranges and spaceability
(Elsevier, 2011)Recent contributions on spaceability have overlooked the applicability of results on operator range subspaces of Banach spaces or Frechet spaces. Here we consider general results on spaceability of the complement of an ... -
Weyl's theorem and tensor products: a counterexample.
(Elsevier, 2011)Approximately fifty percent of Weyl's theorem fails to transfer from Hilbert space operators to their tensor product. As a biproduct we find that the product of circles in the complex plane is a limacon. -
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 ...
