We investigate the effects of low-lying fermion modes on the QCD partition function in the ǫ-regime. With the overlap Dirac operator we calculate several tens of low-lying fermion eigenvalues on the quenched lattice. By partially incorporating the fermion determinant through the truncated determinant approximation, we calculate the partition function and other related quantities for Nf = 1 and ...

The renormalization constants of the gauge boson (gluon), ghost and fermion fields are analytically computed as well as those for the ghost-gluon vertex, the fermion-gluon vertex and the fermion mass. All other renormalization constants can be derived from these. Some of these results were already produced in Feynman gauge for the computation of the β-function of this model, which was recently ...

We formulate correlation functions for a one-dimensional interacting spinless fermion model at finite temperature. By combination of a lattice path integral formulation for thermodynamics with the algebraic Bethe ansatz for fermion systems, the equal-time oneparticle Green’s function at arbitrary particle density is expressed as a multiple integral form. Our formula reproduces previously known ...

The investigation of topological properties of the gauge field in a two-dimensional Higgs model can help in understanding anomalous fermion number violation. 1. A simple model for fermion number violation Fermion number, which is the sum of baryon number and lepton number (B+L), is not conserved in the Standard Model 1. This is due to the anomaly in the fermion current. The lattice formulation ...

The problem of formulating the chiral fermion field on space-time lattices has been discussed from the viewpoint of funtional integrals [1]. I argued that the functional integral measure provided by any single lattice ( hypercubical lattice or random lattice ) is not sufficent to yield fermionic functional integrals to agree with the continuum field theory. My proposal of using an ensemble of r...

We present a new approach to some four-fermion lattice field theories which we call the generalized fermion bag approach. The basic idea is to identify unpaired fermionic degrees of freedom that cause sign problems and collect them in a bag. Paired fermions usually act like bosons and do not lead to sign problems. A resummation of all unpaired fermion degrees of freedom inside the bag is suffic...

It is an important issue to investigate within a non-perturbative regularization scheme whether the quartic self-coupling and Yukawa coupling of the fermion-Higgs sector of the Standard model (StM) remain relatively small when increasing the bare couplings to very large values. For this it is desirable to construct a lattice fermion-Higgs model with a realistic fermion content. A naive transcri...

The problem of formulating the chiral fermion field on space-time lattices has been discussed from the viewpoint of funtional integrals [1]. I argued that the functional integral measure provided by any single lattice ( hypercubical lattice or random lattice ) is not sufficent to yield fermionic functional integrals to agree with the continuum field theory. My proposal of using an ensemble of r...