Yuichi Hoshino Kushiro National College of Technology, Otanoshike Nishi 2-32-1,Kushiro City,HOkkaido 084,Japan (Dated:) Abstract To remove the linear infrared divergences in quenched approximation we include the massive fermion loop to the photon spectral function.Spectral function of fermion has no one particle singularity if we fix the anomalous dimension to be unity.In the case of N flavour,...

The well-known exact solution of the massless Schwinger model can be simply obtained by perturbing around a vacuum without the Dirac sea of filled negative energy states. The unusual vacuum structure changes the sign of the iǫ prescription at the negative energy pole of the free fermion propagator. Consequently, all convergent fermion loop integrals vanish. The logarithmically divergent two-poi...

The special features of CP violation in the Standard Model are presented. The significance of measuring CP violation in B, K and D decays is explained. The predictions of the Standard Model for CP asymmetries in B decays are analyzed in detail. Then, four frameworks of new physics are reviewed: (i) Supersymmetry provides an excellent demonstration of the power of CP violation as a probe of new ...

The Atiyah-Singer index theorem is investigated on various compact manifolds which admit finite matrix approximations (“fuzzy spaces”) with a view to applications in a modified Kaluza-Klein type approach in which the internal space consists of a finite number of points. Motivated by the chiral nature of the standard model spectrum we investigate manifolds that do not admit spinors but do admit ...

We approximate optimal solutions to the Flexible Job-Shop Problem by using dispatching rules discovered through Genetic Programming. While Simple Priority Rules have been widely applied in practice, their efficacy remains poor due to lack of a global view. Composite Dispatching Rules have been shown to be more effective as they are constructed through human experience. In this work, we employ s...

We extend a previous variational block spin analysis of the realization of chiral symmetry in a strong coupling lattice gauge theory to models which have been suggested as possibly describing massless composite fermions. In all cases we find massive fermioncomposites and spontaneous breaking of chiral symmetry. We also discuss the relevance of this result to the continuum limit. Submitted to Ph...

In this work, we perform parameter tuning with dynamical anisotropic clover lattices using the Schrödinger functional and stout-smearing in the fermion field. We find that ξR/ξ0 is relatively close to 1 in our parameter search, which allows us to fix ξ0 in our runs. We proposed to determine the gauge and fermion anisotropy in a Schrödinger-background small box using Wilson loop ratios and PCAC ...

We discuss topological obstructions to putting chiral fermions on an even dimensional lattice. The setting includes Ginsparg-Wilson fermions, but is more general. We prove a theorem which relates the total chirality to the difference of generalised winding numbers of chiral projection operators. For an odd number of Weyl fermions this implies that particles and anti-particles live in topologica...

At Ocean Drilling Program (ODP) Site 1090 (lat 42 54.8 S, long 8 54.0 E) located in a water depth of 3702 m on the Agulhas Ridge in the sub-Antarctic South Atlantic, 300 m of middle Eocene to middle Miocene sediments were recovered with the advanced piston corer (APC) and the extended core barrel (XCB). U-channel samples from the 70–230 meters composite depth (mcd) interval provide a magnetic p...

he Gauge Technique has been applied to QED2+1 in the quenched case with infrared subtraction. The behaviour of the fermion propagator near the threshold is then found to be S(p) → (γ · p+m) (p −m) ( p −m 2m ) exp(− ης 2 ), where ς = e/(4πm) and this is gauge invariant except the exponential factor. We also find a spectral function in the Landau and Yennie like gauge. The propagators S(p) are ex...