The lowest (" vector ") and next-lowest (" scalar ") bound-state masses of the massive Schwinger model have been determined recently to a very high accuracy numerically on the lattice. Therefore, improved results for these bound-state masses from analytical calculations are of some interest. Here, we provide such improved results by employing both standard and renormal-ordered (fermion) mass pe...

We study a bound state of fractional D3/D7-branes in the ten-dimensional space IR × IR/Z2 using the boundary state formalism. We construct the boundary actions for this system and we show that higher order terms in the twisted fields are needed in order to satisfy the zero-force condition. We then find the classical background associated to the bound state and show that the gauge theory living ...

A new approach to perturbation theory for a Dirac particle in a central field * Abstract. The explicit semiclassical treatment of logarithmic perturbation theory for the bound-state problem within the framework of the Dirac equation is developed. Avoiding disadvantages of the standard approach in the description of exited states, new handy recursion formulae with the same simple form both for g...

In this note, we give a lower bound for the distance between the maximal and minimal element in a multiplicative magic square of dimension r whose entries are distinct positive integers.

In this report I will be showing how to use meson wave functions and masses to find the decay width difference between the two mass eigenstates of the D0 meson. Due to a large coupling at small energies in QCD, perturbation theory unfortunately does us no good. However, there does exist a model that attempts to keep as much of the QCD Lagrangian as possible. The model was developed by Gerard t’...

Within quantum mechanics model we study the problem of resummation of an asymptotic perturbation series for bound state parameters via optimization of the perturbative expansion. A possible application of the method to the positronium lifetime calculation is also briefly considered.

Reaction-diffusion systems which include processes of the form A+A → A or A+A → ∅ are characterised by the appearance of ‘imaginary’ multiplicative noise terms in an effective Langevin-type description. However, if ‘real’ as well as ‘imaginary’ noise is present, then competition between the two could potentially lead to novel behaviour. We thus investigate the asymptotic properties of the follo...

‎We extend the notion of approximately multiplicative to approximately n-multiplicative maps between locally multiplicatively convex algebras and study some properties of these maps‎. ‎‎W‎e prove that every approximately n-multiplicative linear functional on a functionally continuous locally multiplicatively convex algebra is continuous‎. ‎We also study the relationship between approximately mu...

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this paper undertakes the synthesis of a logic-based switching h2/h∞ state-feedback controller for continuous-time lti singular perturbation systems. our solution achieves a minimum bound on the h2 performance level, while also satisfying the h∞ performance requirements. the proposed hybrid control scheme is based on a fuzzy supervisor managing the combination of two controllers. a convex lmi-b...