119211078
Aharonov-Bohm scattering by vortices of dimensionally-reduced Yang-Mills field
If two dimensions of six-dimensional space-time are compactified, a topological configuration of Yang-Mills gauge field appears as a cosmic string in four dimensions, whose thickness is of the same order as the size of the compact space. We consider scattering of low-energy fermions by this object.
123256260
Is the Stochastic Gauge-Fixing a Consistent Method for Reducible Gauge Theories?
By using the Stochastic Gauge-Fixing term derived in a previous paper, we stochastically quantize the Non-Abelian Antisymmetric Tensor Field theory as an example of the Reducible Gauge Theories. Though all the quantities are finitely computed and the induced vertex really reproduces the full ghost contributions, the uninterpretable terms still remain
117982497
Coulomb gauge gluon propagator on anisotropic lattices
We calculate the transverse and the time-time components of the Coulomb-gauge gluon propagator in SU(3) lattice Yang-Mills theory both on isotropic and anisotropic lattices. The problem of scaling violation observed on the isotropic lattice is drastically reduced as the anisotropy increases; namely, the system approaches the Hamiltonian limit. In the infrared region, the transverse gluon propagator exhibits a turnover and the temporal gluon propagator shows divergent behavior.
119274815
Lattice study of K pi scattering in I = 3/2 and 1/2
We report the first lattice QCD results of the scattering amplitudes of the Kπ system for I = 1/2 channel together with I = 3/2 case. We investigate all quark diagrams contributing to these isospin states, and find that the scattering amplitudes are expressed as combinations of only three diagrams after setting the masses of u-quark and d-quark to be the same. The lattice simulations are performed in the quenched approximation at β = 2.23 on a 123 × 24 lattice with an improved Iwasaki gauge action. We employ a new dilution-type noise method to get accuracy of data with reasonable CPU time. A simple method is proposed and applied to eliminate lattice artefact due to the finite extent of lattice along the time direction. A clear difference in the quark mass dependence between I = 3/2 and I = 1/2 channels is observed. Although the chiral extrapolation is subtle, we assume E2 Kπ ∝ mu,d, and obtain the S-wave scattering lengths as a0(I = 3/2)mπ = −0.084 −0.064 and a0(I = 1/2)mπ = −0.625± 0.012. We show all necessary formulas which make the calculation possible. We argue that ΛN is the most appropriate target of the Lüscher’s formula for baryonic system because it has no π exchange diagrams and has a scattering length suitable for a lattice QCD simulation. PACS numbers: 12.38.Gc, 13.75.-n, 21.30.Fe, 24.85.+p ∗Present address: Admissions Center, Hiroshima University, Higashi-Hiroshima 739-8511, Japan 2