Topologically invariant transformation for lattice fermions

Domain wall fermion and CP symmetry breaking

We examine the CP properties of chiral gauge theory defined by a formulation of the domain wall fermion, where the light field variables q and q̄ together with Pauli-Villars fields Q and Q̄ are utilized. It is shown that this domain wall representation in the infinite flavor limit N = ∞ is valid only in the topologically trivial sector, and that the conflict among lattice chiral symmetry, strict ...

Topologically Left Invariant Mean on Dual Semigroup Algebras

TOPOLOGICALLY STATIONARY LOCALLY COMPACT SEMIGROUP AND AMENABILITY

In this paper, we investigate the concept of topological stationary for locally compact semigroups. In [4], T. Mitchell proved that a semigroup S is right stationary if and only if m(S) has a left Invariant mean. In this case, the set of values ?(f) where ? runs over all left invariant means on m(S) coincides with the set of constants in the weak* closed convex hull of right translates of f. Th...

Topologically non-trivial configurations in 3-dimensional Yang-Mills theory

Monopoles are expected to play an important role in confining quarks in QCD. In lattice simulations, one usually looks for U(1) monopoles by fixing an Abelian gauge [1]. However it is important to have a gauge invariant way of detecting monopoles in non-Abelian gauge theories. In a recent paper [2] Anishetty, Majumdar and Sharatchandra have given a criterion for characterizing topologically non...

A Perturbative Construction of Lattice Chiral Fermions *

We perform a renormalization group transformation to construct a lattice theory of chiral fermions. The field variables of the continuum theory are averaged over hypercubes to define lattice fields. Integrating out the continuum variables in perturbation theory we derive a chirally invariant effective action for the lattice fields. This is consistent with the Nielsen-Ninomiya theorem because th...