Remarks on SU (2) lattice gauge theories. Abstract The Wilson-Dirac operator in four dimensions with gauge group SU (2) is real if the fermions are in a representation of half integral isospin. This could be useful for test cases in numerical work, making SU (2) significantly less demanding computationally than QCD. In the context of the overlap a simple mechanism for Witten's SU (2) anomaly is...

Thrombotic microangiopathy comprises a spectrum of clinical and lab findings including microangiopathic hemolytic anemia, thrombocytopenia, and thrombosis of capillary and arterioles. Platelet and hyaline thrombi with complete or partial occlusion of these vessels are integral histopathological findings. These findings are seen irrespective of cause and organ involved. Pathogenesis and prognosi...

A recently proposed scheme for calculating E-shell ionization cross sections in atoms and molecules using the relaxed-core Hartree-Pock (RCHF) approximation is extended to the treatment of shakeup processes. As an example, this scheme is applied to the m-~* satellites in the C ls photoelectron spectrum of CO. These results for the (SO, S1) pair of ~-~* satellite states reveal strong interferenc...

We calculate the lattice two-point function of topological charge density in pure-glue QCD using the discretization of the operator based on the overlap Dirac matrix. Utilizing data at three lattice spacings it is shown that the continuum limit of the correlator complies with the requirement of non-positivity at non-zero distances. For our choice of the overlap operator and the Iwasaki gauge ac...

Affine variables, which have the virtue of preserving the positivedefinite character of matrix-like objects, have been suggested as replacements for the canonical variables of standard quantization schemes, especially in the context of quantum gravity. We develop the kinematics of such variables, discussing suitable coherent states, their associated resolution of unity, polarizations, and final...

This article discusses entanglement between two subsystems, one with discrete degrees of freedom and the other with continuous degrees of freedom. The overlap integral between continuous variable wave functions emerges as an important parameter to characterize this kind entangle-ment. " Beam-like " entanglement and " shape-like " entanglement are contrasted. One example of this kind of entangle...

We evaluate for arbitrary even dimensions the classical continuum limit of the lattice axial anomaly defined by the overlap-Dirac operator. Our calculational scheme is simple and systematic. In particular, a powerful topological argument is utilized to determine the value of a lattice integral involved in the calculation. When the Dirac operator is free of species doubling, the classical contin...