Pure & Applied Mathematics (Scholarly Publications): Recent submissions
Now showing items 101-120 of 319
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Bound states in the mirror TBA
(2012)The spectrum of the light-cone AdS 5 S 5 superstring contains states composed of particles with complex momenta including in particular those which turn into bound states in the decompacti cation limit. We propose ... -
Comments on the mirror TBA
(2011)We discuss various aspects of excited state TBA equations describing the energy spectrum of the AdS5 ? S5 strings and, via the AdS/CFT correspondence, the spectrum of scaling dimensions of N=4 SYM local operators. We observe ... -
First results from 2+1 dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass
(2009)We present the first light-hadron spectroscopy on a set of N f ? 2 ? 1 dynamical, anisotropic lattices. A convenient set of coordinates that parameterize the two-dimensional plane of light and strange-quark masses ... -
Dynamical QCD simulations on anisotropic lattices
(2006)The simulation of QCD on dynamical ( N f 2 ) anisotropic lattices is described. A method for nonperturbative renormalisation of the parameters in the anisotropic gauge and quark actions is presented. The precision ... -
On Levi-flat hypersurfaces with prescribed boundary
(2010)We address the problem of existence and uniqueness of a Levi-flat hypersurface M in ?n with prescribed compact boundary S for n ? 3. The situation for n ? 3 differs sharply from the well studied case n = 2. We first establish ... -
Dynamics of one-resonant biholomorphisms
(2013)Our first main result is a construction of a simple formal normal form for holomorphic diffeomorphisms in Cn whose differentials have one-dimensional family of resonances in the first m eigenvalues, m ? n (but more resonances ... -
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 ...
