We propose a generalisation of the Faddeev-Popov trick for Yang-Mills fields in the Landau gauge. The gauge-fixing is achieved as a genuine change of variables. In particular the Jacobian that appears is the modulus of the standard Faddeev-Popov determinant. We give a path integral representation of this in terms of auxiliary bosonic and Grassman fields extended beyond the usual set for standar...

We study the spectral statistics of interacting electrons in clean chaotic quantum dots by numerical diagonalization. We show that interacting particles in chaotic dots exhibit the same short-range level correlations, predicted by random matrix theory, as interacting electrons in disordered systems, while they differ from each other with respect to long-range correlations. We further find that,...

Two efficient spectral-element methods, based on Legendre and Laguerre polynomials respectively, are derived for direct approximation of the electronic Schrödinger equation in one spatial dimension. Compared to existing literatures, a spectral-element approach is used to treat the singularity in nucleus-electron Coulomb potential, and with the help of Slater determinant, special basis functions...

The ground and lowest three adiabatic excited states of methylene are computed using the variational Monte Carlo and diffusion Monte Carlo (DMC) methods using progressively larger Jastrow-Slater multideterminant complete active space (CAS) wave functions. The highest of these states has the same symmetry, (1)A(1), as the first excited state. The DMC excitation energies obtained using any of the...

Article history: Received 15 April 2011 Received in revised form 13 October 2011 Accepted 22 November 2011 Available online xxxx The social sciences have traditionally assumed that education is amajor determinant of citizens' political orientations and behavior. Several studies have also shown that intelligence has an impact. According to a theory that conceptualizes intelligence as a burgher (...

We address the locality problem arising in simulations, which take the square root of the staggered fermion determinant as a Boltzmann weight to reduce the number of dynamical quark tastes from four to two. We study analytically and numerically the square root of the staggered fermion operator as a candidate to define a two taste theory from first principles. Although it has the correct weight,...

For systems with a finite number of degrees of freedom, it is shown in [1] that first class constraints are Abelianizable if the FaddeevPopov determinant is not vanishing for some choice of subsidiary constraints. Here, for irreducible first class constraint systems with SO(3) or SO(4) gauge symmetries, including a subset of coordinates in the fundamental representation of the gauge group, we e...

A refined expression for the Faddeev-Popov determinant is derived for gauge theories quantised around a reducible classical solution. We apply this result to Chern-Simons perturbation theory on compact spacetime 3-manifolds with quantisation around an arbitrary flat gauge field isolated up to gauge transformations, pointing out that previous results on the finiteness and formal metricindependen...