To a compact hyperbolic Riemann surface, we associate a finitely summable spectral triple whose underlying topological space is the limit set of a corresponding Schottky group, and whose “Riemannian” aspect (Hilbert space and Dirac operator) encode the boundary action through its Patterson-Sullivan measure. We prove that the ergodic rigidity theorem for this boundary action implies that the zet...

In Randall-Sundrum theories a dark matter candidate can arise consequently to baryon number conservation in the form of a massive right handed Dirac neutrino interacting through an additional SU(2)R gauge group. The neutral SU(2)R gauge boson, called Z ′, is supposed to couple only to the standard model right handed top quark. In ee collisions it will therefore be produced preferentially in top...

To a compact hyperbolic Riemann surface, we associate a finitely summable spectral triple whose underlying topological space is the limit set of a corresponding Schottky group, and whose “Riemannian” aspect (Hilbert space and Dirac operator) encode the boundary action through its Patterson-Sullivan measure. We prove that the ergodic rigidity theorem for this boundary action implies that the zet...

We measure the low lying eigenmodes of an overlap Dirac operator on 2–flavor staggered configurations. By comparing the eigenmode distribution to the predictions of Random Matrix Theory we test to what accuracy staggered configurations describe continuum QCD. The agreement between the numerical data and RMT implies that at our quark mass values the lattice artifacts of the staggered configurati...

The DELPHI and ALEPH experiments have released new results of the Fermi-Dirac correlations for pp (p̄p̄) and Bose-Einstein correlations for K s K s . Both experiments measure very small source radius for protons R ∼ 0.1 fm. The source dimension for K s K s is in agreement with the previous measurements for KK, K s K s . These results, together with earlier LEP measurements, establish the dependen...

In this paper, non-Hamiltonian systems with holonomic constraints are treated by a generalization of Dirac's formalism. Non-Hamiltonian phase space flows can be described by generalized antisymmetric brackets or by general Liouville operators which cannot be derived from brackets. Both situations are treated. In the first case, a Nosé-Dirac bracket is introduced as an example. In the second one...

We present a Monte Carlo Renormalisation Group (MCRG) study of the SU(2) gauge theory with two Dirac fermions in the adjoint representation. Using the two–lattice matching technique we measure the running of the coupling and the anomalous mass dimension. We find slow running of the coupling, compatible with an infrared fixed point. Assuming this running is negligible we find a vanishing anomalo...

Consider two sequences of bounded random variables, a value and a timing process, that satisfy the large deviation principle (LDP) with rate function J (·, ·) and whose cumulative process satisfies the LDP with rate function I (·). Under mixing conditions, an LDP for estimates of I constructed by transforming an estimate of J is proved. For the case of a cumulative renewal process it is demonst...

This article is one of squeal papers. For this decade, the Dirac operator on a submanifold has been studied as a restriction of the Dirac operator in E n to a surface or a space curve as physical models. These Dirac operators are identified with operators of the Frenet-Serret relation for a space curve case and of the generalized Weierstrass relation for a conformal surface case and completely ...

The triality properties of Dirac spinors are studied, including a construction of the algebra of (complexified) biquaternion. It is proved that there exists a vector-representation of Dirac spinors. The massive Dirac equation in the vector-representation is actually self-dual. The Dirac’s idea of non-integrable phases is used to study the behavior of massive term.