Browsing Pure & Applied Mathematics (Scholarly Publications) by Sponsor "Science Foundation Ireland (SFI)"
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An Anisotropic preconditioning for the Wilson fermion matrix on the lattice
(2010)A preconditioning for the Wilson fermion matrix on the lattice is defined, which is particularly suited to the case when the temporal lattice spacing is much smaller than the spatial one. Details on the implementation of ... 
Bottomonium at Nonzero Temperature from Lattice Nonrelativistic QCD
(2012)The temperature dependence of bottomonium states at temperatures above and below $T_c$ is presented, using nonrelativistic dynamics for the bottom quark and full relativistic lattice QCD simulations for two light flavors ... 
Bound states in the mirror TBA
(2012)The spectrum of the lightcone 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 ... 
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 ... 
The chirally rotated Schrödinger functional: theoretical expectations and perturbative tests
(2016)The chirally rotated Schrödinger functional (χSF) with massless Wilsontype fermions provides an alternative lattice regularization of the Schrödinger functional (SF), with different lattice symmetries and a common continuum ... 
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 ... 
Coupledchannel DÏ , DÎ· and D<inf>s</inf>KÂ¯ scattering from lattice QCD
(2016)We present the rst lattice QCD study of coupledchannel D , D and D s K scattering in isospin1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of ... 
Degenerate real hypersurfaces in C2 with few automorphisms
(2009)We introduce new biholomorphic invariants for realanalytic hypersurfaces in 2dimensional complex space and show how they can be used to show that a hypersurface possesses few automorphisms. We give conditions, in terms ... 
Dynamics of oneresonant biholomorphisms
(2013)Our first main result is a construction of a simple formal normal form for holomorphic diffeomorphisms in Cn whose differentials have onedimensional family of resonances in the first m eigenvalues, m ? n (but more resonances ... 
Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD
(2016)The quarkline disconnected diagram is a potentially important ingredient in lattice QCD calculations of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon. It is also a notoriously ... 
Exceptional Operators in N=4 super YangMills
(2012)We consider one particularly interesting class of composite gaugeinvariant op erators in N = 4 super YangMills theory. An exceptional feature of these operators is that in the Thermodynamic Bethe Ansatz approach the ... 
First results from 2+1 dynamical quark flavors on an anisotropic lattice: Lighthadron spectroscopy and setting the strangequark mass
(2009)We present the first lighthadron spectroscopy on a set of N f ? 2 ? 1 dynamical, anisotropic lattices. A convenient set of coordinates that parameterize the twodimensional plane of light and strangequark masses ... 
Formal and finite order equivalences
(2011)We show that two families of germs of realanalytic 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 ... 
Foundations of the AdS_5 x S^5 Superstring. Part I
(2009)We review the recent advances towards finding the spectrum of the AdS_5 x S^5 superstring. We thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the spectral problem. In certain ... 
Hadron spectroscopy from lattice quantum chromodynamics
(2016)Lattice calculations of hadron spectroscopy are discussed. A brief introduction to numerical simulations of QCD, with a focus on spectroscopy is given. Results for spectroscopy of lowlying, excited and exotic states ... 
HubbardShastry lattice models
(2012)We consider two lattice models for strongly correlated electrons which are exactly solvable in one dimension. Along with the Hubbard model and the $\mathfrak {su}(22)$ spin chain, these are the only parityinvariant models ... 
Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD
(2011)A new method of stochastically estimating the lowlying effects of quark propagation is proposed which allows accurate determinations of temporal correlations of singlehadron and multihadron operators in lattice QCD. The ... 
Isoscalar meson spectroscopy from lattice QCD
(2011)We extract to high statistical precision an excited spectrum of singleparticle 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 ... 
Konishi operator at intermediate coupling.
(2011)TBA equations for twoparticle states from the sl(2) sector proposed by Arutyunov, Suzuki and the author are solved numerically for the Konishi operator descendent up to 't Hooft's coupling 2046. The data obtained ...