Browsing Pure & Applied Mathematics (Scholarly Publications) by Title
Now showing items 178-197 of 319
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Nonperturbative results for the mass dependence of the QED fermion determinant
(2010)The fermion determinant in four-dimensional quantum electrodynamics in the presence of O(2)XO(3) symmetric background gauge fields with a nonvanishing global chiral anomaly is considered. It is shown that the leading mass ... -
Nonperturbative study of the action parameters for anisotropic-lattice quarks
(2006)A quark action designed for highly anisotropic-lattice simulations is discussed. The mass-dependence of the parameters in the action is studied and the results are presented. Applications of this action in studies of ... -
Norms and CB Norms of Jordan Elementary Operators
(Elsevier, 2003)We establish lower bounds for norms and CB-norms of elementary operators on . Our main result concerns the operator Ta,bx=axb+bxa and we show Ta,bab, proving a conjecture of M. Mathieu. We also establish some other results ... -
A note on gravity-scalar fluctuations in holographic RG flow geometries
(Elsevier, 2000)We study five-dimensional gravity models with non-vanishing background scalar fields which are dual to non-conformal boundary field theories. We develop a procedure to decouple the graviton fluctuations from the scalar ... -
A novel method for evaluating correlation functions in lattice hadron spectroscopy
(2010)We describe a new approach for evaluating hadronic correlation functions which combines Laplacian-Heaviside quark smearing with a stochastic estimator of quark propagators. This method utilizes noise ... -
A Novel quark-field creation operator construction for hadronic physics in lattice QCD
(2009)A new quark-field smearing algorithm is defined which enables efficient calculations of a broad range of hadron correlation functions. The technique applies a low-rank operator to define smooth fields that are to be used ... -
An O(a) modified lattice set-up of the Schrödinger functional in SU(3) gauge theory
(2011)The set-up of the QCD Schrödinger functional (SF) on the lattice with staggered quarks requires an even number of points L/a in the spatial directions, while the Euclidean time extent of the lattice, T/a, must be odd. ... -
Obituary: T. Trevor West 1938-2012
(2013) -
Obstructions to embeddability into hyperquadrics and explicit examples
(Springer, 2008)We give series of explicit examples of Levi-nondegenerate real-analytic hypersurfaces in complex spaces that are not transversally holomorphically embeddable into hyperquadrics of any dimension. For this, we construct ... -
Octahedral and dodecahedral monopoles
(IOP, 1996)It is shown that there exists a charge five monopole with octahedral symmetry and a charge seven monopole with icosahedral symmetry. A numerical implementation of the ADHMN construction is used to calculate the energy ... -
The Off-shell Symmetry Algebra of the Light-cone AdS(5) x S**5 Superstring
(Institute of Physics, 2007)We analyse the psu(2, 2|4) supersymmetry algebra of a superstring propagating in the AdS5 ? S5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and ... -
On a problem of H. Bohr
(Societe Royale des Sciences de Liege, 1991) -
On AdS(5) x S**5 String S-matrix.
(Elsevier, 2006)Recently two interesting conjectures about the string S-matrix on AdS5?S5 have been made. First, assuming the existence of a Hopf algebra symmetry Janik derived a functional equation for the dressing factor of the quantum ... -
On Hamiltonian structure of the spin Ruijsenaars-Schneider model
(Institute of Physics, 1998)The Hamiltonian structure of spin generalization of the rational Ruijsenaars-Schneider model is found by using the Hamiltonian reduction technique. It is shown that the model possesses the current algebra symmetry. The ... -
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 ... -
On local CR-transformation of Levi-degenerate group orbits in compact Hermitian symmetric spaces
(European Mathematical Society, 2006) -
On Lorentz invariance and supersymmetry of four particle scattering amplitudes in S(N) R**8 orbifold sigma model
(American Physical Society, 1999)The SNR8 supersymmetric orbifold sigma model is expected to describe the Infrared limit of the matrix string theory. In the framework of the model the type IIA string interaction is governed by a vertex which was recently ...