arXiv subjects

Paul Rakow

Publications and source records attributed to Paul Rakow.

3 recordsLinked to original sources

arXiv2022

Generalised Parton Distributions from Lattice Feynman-Hellmann Techniques

We report on the use of Feynman-Hellmann techniques to calculate the off-forward Compton amplitude (OFCA) in lattice QCD. At leading-twist, the Euclidean OFCA is parameterised by the Mellin moments of generalised parton distributions (GPDs). Hence we extract GPD moments for two values of the soft momentum transfer, $t=-1.10, -2.20\;\text{GeV}^2$ and zero-skewness kinematics at an unphysical pion mass of $m_π\approx 470\;\text{MeV}$. This includes the first determination of the $n=4$ moments.

hep-lat↗

arXiv2005

Quark masses from quenched overlap fermions

We compute light and strange quark masses for quenched overlap fermions at two values of the gauge coupling. The renormalisation is done non-perturbatively. We test the predictions of quenched chiral perturbation theory for the quark mass dependence of the hadron spectrum and see evidence for the existence of chiral logs.

hep-lat↗

arXiv1993

The crossover from first to second-order finite size scaling: A numerical study Christian Borgs

We consider a particular case of the two dimensional Blume-Emery-Griffiths model to study the finite-size scaling for a field driven first-order phase transition with two coexisting phases not related by a symmetry. For low temperatures we verify the asymptotic (large volume) predictions of the rigorous theory of Borgs and Kotecky, including the predictions concerning the so-called equal-weight versus equal-height controversy. Near the critical temperature we show that all data fit onto a unique curve, even when the correlation length xi becomes comparable to or larger then the size of the system, provided the linear dimension L of the system is rescaled by xi.

hep-lat↗