Browsing Pure & Applied Mathematics (Scholarly Publications) by Title
Now showing items 198-217 of 319
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On one-loop correction to energy of spinning strings in S(5)
(American Physical Society, 2005)We revisit the computation of the 1-loop AdS5?S5 superstring sigma model correction to the energy of a closed circular string rotating in S5. The string is spinning around its center of mass with two equal angular momenta ... -
On String S-matrix, Bound States and TBA
(2007)The study of finite J effects for the light-cone AdS5 ? S5 superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It is obtained from the ... -
On symmetric Cauchy-Riemann manifolds
(Elsevier, 2000)The Riemannian symmetric spaces play an important role in different branches of mathematics. By definition, a (connected) Riemannian manifold M is called symmetric if, to every a ? M, there exists an involutory isometric ... -
On the automorphism groups of algebraic bounded domains
(Springer, 1995) -
On the central Haagerup tensor product and completely bounded mappings of a C*-algebra,
(2005)We consider the natural contractive map from the central Haagerup tensor product of a unital C*-algebra A with itself to the space of completely bounded maps CB ( A ) on A. We establish the necessity of the known sufficient ... -
On the constraints defining BPS monopoles
(Springer Science and Business Media, 2000)We discuss the explicit formulation of the transcendental constraints defining spectral curves of SU.2/ BPS monopoles in the twistor approach of Hitchin, following Ercolani and Sinha. We obtain an improved version of the ... -
On the correspondence between gravity fields and CFT operators
(2000)It is shown that a nonlinear derivative-dependent transformation of gravity fields changes correlation functions in a boundary CFT, and, therefore, corresponds to a change of a basis of operators in the CFT. It is argued ... -
On the origin of supergravity boundary terms in the AdS/CFT correspondence
(Elsevier, 1999)The standard formulation of the AdS/CFT correspondence is incomplete since it requires adding to a supergravity action some a priori unknown boundary terms. We suggest a modification of the correspondence principle based ... -
On the SO(N) symmetry of the chiral SU(N) Yang-Mills model
(Elsevier, 1993)The posibility of quantizing the anomalous SU(N) Yang?Mills model preserving the symmetry under the orthogonal subgroup is indicated. The corresponding Wess?Zumino action (1-cocycle) possesses the additional SO(N) symmetry ... -
Operator product expansion of the lowest weight CPOs in N = 4 SYM(4) at strong coupling
(2000)We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators OI ~ tr?(i?j) in N = 4 SYM4 at strong coupling and show that their structure is compatible with the predictions of ... -
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 ... -
Perturbative and instanton corrections to the OPE of CPOs in N = 4 SYM(4)
(Elsevier, 2001)We study perturbative and instanton corrections to the Operator Product Expansion of the lowest weight Chiral Primary Operators of N = 4 SYM4. We confirm the recently observed non-renormalization of various operators ... -
A perturbative determination of the parameters of an anisotropic quark action
(Elsevier, 2005)The parameters of a 3+1 anisotropic quark action with Symanzik-improved glue are determined at 1-loop in perturbation theory. -
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, ... -
Phase shift with LapH propagators
(2010)The pion-pion scattering phase shift is computed using LapH propagators. The LapH method for computing quark propagators is used to form two-particle correlation functions with a number of different operators. Excited ... -
Physical phase space of lattice Yang-Mills theory and the moduli space of flat connections on a Riemann surface
(Springer Verlag, 1997)It is shown that the physical phase space of -deformed Hamiltonian lattice Yang-Mills theory, which was recently proposed in refs.[1,2], coincides as a Poisson manifold with the moduli space of flat connections on a ... -
Polynomial Filtered HMC: An Algorithm for lattice QCD with dynamical quarks
(2012)Polynomial approximations to the inverse of the fermion matrix are u sed to filter the dynamics of the upper energy scales in HMC simulations. The use of a multiple time-scale integration sc heme allows the filtered ... -
Positive solutions for nonlinear singular boundary value problems on the half line
(Hikari Ltd, 2007)We discuss the existence of positive solutions for singular second order boundary value problems x'' = ?f(t, x, x'), ax(0) ? bx'(0) = k ? 0, x'(?) = 0, where f may be singular at x = 0 and x' = 0 and can change sign. ...