Lattice Landau gauge and other related lattice gauge fixing schemes are known to violate spectral positivity. The most direct sign of the violation is the rise of the effective mass as a function of distance. The origin of this phenomenon lies in the quenched character of the auxiliary field g used to implement lattice gauge fixing, and is similar to quenched QCD in this respect. This is best s...

We investigate the sensitivity of the semileptonic processes e+e− → l−ν̄l q q̄′, l = e or μ, on the non-standard trilinear gauge couplings, using the optimal observables method at Linear Collider energies. Our study is based on the four-fermion generator ERATO. Taking into account all possible correlations between the different trilinear gauge coupling parameters, we show that they can be measure...

The differences are discussed between various next-to-leading order prescriptions for the QCD evolution of parton densities and structure functions. Their quantitative impact is understood to an accuracy of 0.02%. The uncertainties due to the freedom to choose the renormalization and factorization scales are studied. The quantitative consequences of the different uncertainties on the extraction...

Following the first realisation that hadronic particles consist of charged fermions known as quarks, held together by bosonic particles known as gluons, it was learnt that the quarks and gluons (“partons”) can never be observed on their own. Any attempt to isolate a quark, for example by knocking it violently out of a hadron in an energetic collision process, does not result in an observable qu...

First we argue in an informal, qualitative way that it is natural to enlarge space-time to five dimensions to be able to solve the problem of elementary particle masses. Several criteria are developed for the success of this program. Extending the Poincaré group to the group C of all angle-preserving transformations of space-time is one such scheme which satisfies these criteria. Then we show t...

We present the results of a Monte–Carlo simulation of the G (1) 2 Affine Toda field theory action in two dimensions. We measured the ratio of the masses of the two fundamental particles as a function of the coupling constant. Our results strongly support the conjectured duality with the D (3) 4 theory, and are consistent with the mass formula of Delius et al.

Previous results have shown that the linear topological potential-to-phase relationship (well known from Josephson junctions) is the key to iterative coupling and non-perturbative bosonization of the 2 two-spinor Dirac equation. In this paper those results are combined to approach the nature of proton, neutron, and electron via extrapolations from Planck units to the System of Units (SI). The e...

Eugene Wigner showed already in 1939 that the elementary particles are related to the irreducible representations of the Poincaré algebra. In the light-cone frame formulation of quantum field theory one can extend these representations to depend also on a coupling constant. The representations then become non-linear and contain the interaction terms which are shown to have strong uniqueness. Ex...

We treat 0+ → 2+ 0νββ decays taking into account recoil corrections to the nuclear currents. The decay probability can be written as a quadratic form of the effective coupling constants of the right-handed leptonic currents and the effective neutrino mass. We calculate the nuclear matrix elements for the 0+ → 21 0νββ decays of 76Ge and 100Mo, and demonstrate that the relative sensitivities of 0...

We investigate a model of a U(1)–Higgs theory on the lattice with compact gauge fields but completely suppressed (elementary) monopoles. We study the model at two values of the quartic Higgs self–coupling, a strong coupling, λ = 3.0, and a weak coupling, λ = 0.01. We map out the phase diagrams and find that the monopole suppression eliminated the confined phase of the standard lattice model at ...