169 research outputs found
Tricks to implement the overlap Dirac operator
I present several tricks to help implement the overlap Dirac operator
numerically.Comment: 3 pages, latex, espcrc2.st
Lattice Chirality
The external fermion propagator and the internal fermion propagator in the
overlap are given by different matrices. A generic problem (formulated by
Pelissetto) faced by all chiral, non-local, propagators of Rebbi type is
avoided in this manner. Nussinov-Weingarten-Witten mass inequalities are
exactly preserved. It is sketched how to obtain simple lattice chiral Yukawa
models and simple expressions for covariant currents. Going beyond my oral
presentation, I have added to the write-up several comments on Niedermayer's
talk. His transparencies are available on the internet.Comment: LATTICE98(chiral
The fourth root of the Kogut-Susskind determinant via infinite component fields
An example of interpolation by means of local field theories between the case
of normal Kogut-Susskind fermions and the case of keeping just the fourth root
of the Kogut-Susskind determinant is given. For the fourth root trick to be a
valid approximation certain limits need to be smooth. The question about the
validity of the fourth root trick is not resolved, only cast into a local field
theoretical framework.Comment: 2
Exactly massless quarks on the lattice
It is suggested that the fermion determinant for a vector-like gauge theory
with strictly massless quarks can be represented on the lattice as
, where and is the
Wilson-Dirac lattice operator with a negative mass term. There is no undesired
doubling and no need for any fine tuning. Several other appealing features of
the formula are pointed out.Comment: 7 pages, plain TeX; references correcte
Wavelets and Lattice Field Theory
When continuous fields are expanded in a wavelet basis, a D-dimensional
continuum action becomes a (D+1)-dimensional lattice action on the naively
discretized Poincare-patch coordinates of an Euclidean AdS(D+1). New possible
criteria for acceptable actions open up.Comment: 7 pages. Contribution to Lattice2017, 18-24 June, Granada, Spai
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