Testing M(atrix)-Theory at Two Loops

I discuss the relation between M-theory and M(atrix)-theory in flat space by considering the effective potential for the scattering of two groups of D0-branes in both theories. An explicit calculation of this potential up to two loop order in M(atrix)-theory reveals a fascinating agreement. Lecture given at Strings '97; June 17, 1997.Comment: 7 pages, latex, 1 figure. Lecture given at STRINGS9

A Two-Loop Test of M(atrix) Theory

We consider the scattering of two Dirichlet zero-branes in M(atrix) theory. Using the formulation of M(atrix) theory in terms of ten-dimensional super Yang-Mills theory dimensionally reduced to $(0+1)$-dimensions, we obtain the effective (velocity dependent) potential describing these particles. At one-loop we obtain the well known result for the leading order of the effective potential $V_{eff}\sim v^4/r^7$, where $v$ and $r$ are the relative velocity and distance between the two zero-branes respectively. A calculation of the effective potential at two-loops shows that no renormalizations of the $v^4$-term of the effective potential occur at this order.Comment: 17 pages, tex, 1 figure, a few misprints corrected. Version to appear in Nuclear Physics

General covariance of the non-abelian DBI-action: Checks and Balances

We perform three tests on our proposal to implement diffeomorphism invariance in the non-abelian D0-brane DBI action as a basepoint independence constraint between matrix Riemann normal coordinate systems. First we show that T-duality along an isometry correctly interchanges the potential and kinetic terms in the action. Second, we show that the method to impose basepoint independence using an auxiliary dN^2-dimensional non-linear sigma model also works for metrics which are curved along the brane, provided a physical gauge choice is made at the end. Third, we show that without alteration this method is applicable to higher order in velocities. Testing specifically to order four, we elucidate the range of validity of the symmetrized trace approximation to the non-abelian DBI action.Comment: LaTeX, 22 page

The spin periods of magnetic cataclysmic variables

We have used a model of magnetic accretion to investigate the rotational equilibria of magnetic cataclysmic variables (mCVs). This has enabled us toderive a set of equilibrium spin periods as a function of orbital period and magnetic moment which we use to estimate the magnetic moments of all known intermediate polars. We further show how these equilibrium spin periods relate to the polar synchronisation condition and use these results to calculate the theoretical histogram describing the distribution of magnetic CVs as a function of P_spin / P_orb. We demonstrate that this is in remarkable agreement with the observed distribution assuming that the number of systems as a function of white dwarf magnetic moment is distributed according to N(mu_1) ~ mu_1^-2

Elastic Form Factors of 3,4^{3,4}He up to Large Q2Q^2

Elastic electron scattering off $^3$He and $^4$He has recently been studied at forward and backward scattering angles in Hall A at JLab. The results will provide accurate data on the elastic form factors, charge and magnetic for $^3$He and charge only for $^4$He, up to squared momentum transfer $Q^2$-values of 3.2 GeV$^2$.Comment: 3 pages, Proceedings of EFB2

The three-loop beta-fuction of QCD with the clover action

We calculate, to 3 loops in perturbation theory, the bare $\beta$-function of QCD, formulated on the lattice with the clover fermionic action. The dependence of our result on the number of colors $N$, the number of fermionic flavors $N_f$, as well as the clover parameter $c_{SW}$, is shown explicitly. A direct outcome of our calculation is the two-loop relation between the bare coupling constant $g_0$ and the one renormalized in the MS-bar scheme. Further, we can immediately derive the three-loop correction to the relation between the lattice $\Lambda$-parameter and $g_0$, which is important in checks of asymptotic scaling. For typical values of $c_{SW}$, this correction is found to be very pronounced.Comment: 14 pages, 2 eps figure

Do exchange rates have any impact upon UK inward foreign direct investment?

This paper examines the impact of the level and volatility of the real exchange rate on UK foreign direct investment (FDI) inflows from the seven major countries of origin of the investment over the period 1975 to 2001. We use both fixed effects and dynamic generalised methods of moments (GMM) panel estimation techniques, and manufacturing data disaggregated by high and low R&D content of the sector of destination. Our results provide strong evidence that exchange rate volatility has a negative impact on FDI flows into the UK, irrespective of the sector of destination of the investment. On the other hand, the level of the real exchange rate is found to have a statistically insignificant effect on FDI after controlling for endogeneity of the regressors

Kinematic model inversions of hot star recurrent DAC data - tests against dynamical CIR models

The Discrete Absorption Components (DACs) commonly observed in the ultraviolet lines of hot stars have previously been modelled by dynamical simulations of Corotating Interaction Regions (CIRs) in their fine-driven stellar winds. Here we apply the kinematic DAC inversion method of Brown et al. to the hydrodynamical CIR models and test the reliability of the results obtained. We conclude that the inversion method is able to recover valuable information on the velocity structure of the mean wind and to trace movement of velocity plateaux in the hydrodynamical data, though the recovered density profile of the stream is correct only very near to the stellar surface

Final state interactions in the electroweak nuclear response

I review the description of the electroweak nuclear response at large momentum transfer within nonrelativistic many-body theory. Special consideration is given to the effects of final state interactions, which are known to be large in both inclusive and semi-inclusive processes. The results of theoretical calculations of electron-nucleus scattering observables are compared to the data, and the generalization to charged current neutrino-nucleus interactions is discussed.Comment: Invited talk at NUINT05. To be published in Nucl. Phys. B Proceedings Supplemen