Browsing Pure & Applied Mathematics by Title
Now showing items 217-236 of 390
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Nahm data and the mass of 1/4-BPS states
(American Physical Society, 2000)The mass of 1 / 4-BPS dyonic configurations in N=4 D=4 supersymmetric Yang-Mills theories is calculated within the Nahm formulation. The SU(3) example, with two massive monopoles and one massless monopole, is considered ... -
New hyper-Kaehler manifolds by fixing monopoles
(American Physical Society, 1997)The construction of new hyper-Ka?hler manifolds by taking the infinite monopole mass limit of certain Bogomol?nyi-Prasad-Sommerfield monopole moduli spaces is considered. The one-parameter family of hyper- Ka?hler manifolds ... -
New integrable system of 2dim fermions from strings on AdS(5) x S**5.
(Institute of Physics, 2006)We consider classical superstrings propagating on AdS5 ? S5 space-time. We consistently truncate the superstring equations of motion to the so-called fraktur sfraktur u(1|1) sector. By fixing the uniform gauge we show that ... -
A new multi-neuron spike-train metric
(MIT Press, 2008)The Victor-Purpura spike-train metric has recently been extended to a family of multi-neuron metrics and used to analyze spike trains recorded simultaneously from pairs of proximate neurons. The Victor- Purpura metric ... -
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 ... -
Non-perturbative study of QCD on a 2 + 2 anisotropic lattice
(Elsevier, 2004)We present preliminary results for the non-perturbative determination of the parameters in a 2+2 anisotropic action. The parameters are required to restore Lorentz invariance in long-distance correlators, using the ... -
Non-planar anomalous dimensions in super Yang-Mills theories
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)Conformal supersymmetric Yang--Mills theories play an important role in the gauge-gravity correspondence and, despite being highly non-physical, have been a driving force for many new approaches in more realistic theories ... -
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 ... -
Novel methods for heavy-quark physics from lattice QCD
(Trinity College (Dublin, Ireland). School of Mathematics, 2006)The application of 3+1 anisotropic lattices to numerical simulations of hadrons containing heavy quarks is investigated. It is expected that using a fine temporal lattice spacing will suppress large mass-dependent errors ... -
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 ...
