We compute the corrections to finite-size scaling for the N -vector model on the square lattice in the large-N limit. We find that corrections behave as logL/L2. For tree-level improved hamiltonians corrections behave as 1/L2. In general l-loop improvement is expected to reduce this behaviour to 1/(L2 log L). We show that the finite-size-scaling and the perturbative limit do not commute in the ...

This paper presents a calculation of the quasilocal energy of a generic FRW model of the universe. The results have the correct behavior in the small-sphere limit and vanish for the empty Milne universe. Higher order corrections are found when comparing these results to classical calculations of cosmological energy. This case is different from others in the literature chiefly in that it involve...

In this paper the individual and combined effects of random boundary and geometric imperfections on the limit loads of isotropic, thin-walled, cylindrical shells under axial compression are presented. Second moment characteristics of these imperfections are estimated by data of available measurements of imperfections, a simulation procedure based on the Karhunen-Loéve expansion is applied for g...

The double–scaling limit of the supereigenvalue model is performed in the moment description. This description proves extremely useful for the identification of the multi-critical points in the space of bosonic and fermionic coupling constants. An iterative procedure for the calculation of higher–genus contributions to the free energy and to the multi–loop correlators in the double–scaling limi...

We compute the corrections to nite-size scaling for the N-vector model on the square lattice in the large-N limit. We nd that corrections behave as log L=L 2. For tree-level improved hamiltonians corrections behave as 1=L 2. In general l-loop improvement is expected to reduce this behaviour to 1=(L 2 log l L). We show that the nite-size-scaling and the perturbative limit do not commute in the c...

We analyze the finite temperature (T) extension of the WessZumino -Witten functional, discussed in a previous work, to one loop in chiral perturbation theory. As a phenomenological application, we calculate finite temperature corrections to the amplitude of π0 decay into two photons. This calculation is performed in three limits : i) T/Mπ << 1 , ii) the chiral limit at finite T and iii) T/Mπ >>...

An analytical expression for the eddy current forces on a circular current loop moving with constant velocity over a thin conducting sheet is derived in this paper. This calculation is based on using the boundary conditions across the conducting sheet to solve for the total magnetic vector potential. The eddy currents in the sheet and the forces on the sheet are first presented in the ‘quasista...

Resonance oscillations of micrometer and nanometer scale beams in gases and liquids have increasingly important applications in physics and biology. In this work, we calculate fluid damping and its effect on damped resonance frequency omega(d), and quality factor Q, for oscillating long beams at micrometer and submicrometer scales. For beams of nanometer scale, which are smaller than the mean f...

The chiral magnetic and the chiral vortical effects are recently discovered phenomena arising from chiral gauge and gravitational anomalies that lead to generation of electric currents in presence of magnetic field or vorticity. The magnitude of these effects is determined by the anomalous conductivities. These conductivities can be calculated by the linear response theory, and in the strong co...

The accurate calculation of weak heavy-to-light form factors is crucial for the determination of CKM matrix elements from experimental data on B decays. In SCET, the soft-collinear effective theory, these form factors can, in the heavy quark limit, be split into a factorisable part that is calculable in perturbation theory, and a nonfactorisable part that observes certain spin-symmetries. I dis...