Browsing Pure & Applied Mathematics (Scholarly Publications) by Title
Now showing items 86-105 of 319
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The excited hadron spectrum in lattice QCD using a new variance reduction method
(2010)Progress in calculating the spectrum of excited baryons and mesons in lattice QCD is described. Correlation matrices of sets of spatially-extended hadron operators have been studied and their effectiveness in facilitating ... -
Excited spectroscopy of charmed mesons from lattice QCD
(2013)We present spectra of highly excited D and D s mesons up to around 3.8 GeV determined using dynamical lattice QCD. We employ novel computational techniques and the variational method with a large basis of carefully constructed ... -
Excited states in Bethe ansatz solvable models and the dressing of spin and charge
(2013)A general formalism for the study of excitations above equilibrium in Bethe ansatz solvable models is presented. Nonzero temperature expressions for dressed energy, momentum, spin and charge are obtained. The zero ... -
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 ... -
Excited-state spectroscopy of singly, doubly and triply-charmed baryons from lattice QCD
(2013)We present the ground and excited state spectra of singly, doubly and triply-charmed baryons by using dynamical lattice QCD. A large set of baryonic operators that respect the symmetries of the lattice and are obtained ... -
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. -
Exploring the mirror TBA
(2009)We apply the contour deformation trick to the Thermodynamic Bethe Ansatz equations for the AdS_5 imes S^5 mirror model, and obtain the integral equations determining the energy of two-particle excited states dual to N=4 ... -
Extension of CR-functions on wedges.
(Springer, 2003)The celebrated Boggess-Polking theorem [BP82] extending classical results of Lewy [L56] states that all (continuous) CR-functions on a generic submanifold M in CN extend holomorphically to a wedge in the direction of the ... -
Factorial states, upper multiplicity and norms of elementary operators
(2008)Let {pi} be an irreducible representation of a C*-algebra A. We show that the weak* approximation of factorial states associated to {pi} by type I factorial states of lower degree is closely related to the value of the ... -
Factorization Conjecture and Open/Closed String Correspondence
(2005)We present evidence for the factorization of the world-shee t path integrals for 2d con- formal field theories on the disk into bulk and boundary contr ibutions. This factorization is then used to reinterpret a shift ... -
A family of compact strictly pseudoconvex hypersurfaces in C^2 without umbilical points
(2018)We prove the following: For ϵ>0, let Dϵ be the bounded strictly pseudoconvex domain in ℂ2 given by (log|z|)2+(log|w|)2<ϵ2. The boundary Mϵ:=∂Dϵ⊂ℂ2 is a compact strictly pseudoconvex CR manifold without umbilical ... -
Finding community structures in networks by playing pass-the-parcel.
(2008)Many data sets can be represented by undirected networks. Often, an interesting and important feature of these networks is the existence of communities; groups of nodes whose interconnectivity is higher than the average ... -
Finite jet determination of local analytic CR automorphisms and their parametrization by 2-jets in the finite type case.
(Geometric And Functional Analysis, 2003)We show that germs of local real-analytic CR automorphisms of a real-analytic hypersurface M in C2 at a point p ? M are uniquely determined by their jets of some finite order at p if and only if M is not Levi-flat near ... -
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 ... -
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 ... -
Five-loop Konishi from the Mirror TBA
(2010)We use the Thermodynamic Bethe Ansatz equations for the AdS5 ? S5 mirror model to derive the five-loop anomalous dimension of the Konishi operator. We show numerically that the corresponding result perfectly agrees with ... -
A fixed-point theorem for holomorphic maps
(Royal Irish Academy, 1994)We consider the action on the maximal ideal space M of the algebra H of bounded analytic functions, induced by an analytic self?map of a complex manifold, X. After some general preliminaries, we focus on the question of ... -
Flavour symmetry restoration and kaon weak matrix elements in quenched twisted mass QCD
(2007)We simulate two variants of quenched twisted mass QCD (tmQCD), with degenerate Wilson quarks of masses equal to or heavier than half the strange quark mass. We use Ward identities in order to measure the twist angles of ... -
Folding in the Skyrme model.
(American Institute of Physics, 2001)There are only three stable singularities of a differentiable map between three-dimensional manifolds, namely folds, cusps and swallowtails. A Skyrme configuration is a map from space to SU2, and its singularities correspond ... -
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 ...
