102 citations · 156 across the 10 of their papers we have counts for
10 papers
A new lattice gauge action without scaling artifacts
John P. Costella
I describe a new way of constructing a gauge action that eliminates scaling artifacts, by writing the continuum formalism in terms of "gauge links" (Schwinger line integrals) and u…
The aliasing problem in lattice field theory
John P. Costella
The intrinsically nonlinear nature of quantum field theory provides a fundamental complication for lattice calculations, when the physical implications of the subtleties of Fourier…
A strange property of lattices with an even number of sites
John Costella
By examining the behaviour of the "SLAC" lattice derivative operators, it is found that lattices with an even number of sites have a somewhat strange self-consistency requirement f…
A new proposal for the fermion doubling problem. II. Improving the operators for finite lattices
John P. Costella
In a previous paper I showed how the ideal SLAC derivative and second-derivative operators for an infinite lattice can be obtained in simple closed form in position space, and impl…
A new proposal for the fermion doubling problem
John P. Costella
In this paper I propose the use of a lattice derivative operator that is equivalent to the ideal SLAC derivative operator in all lattice calculations, but without the prohibitively…
The Thomas rotation
John P. Costella, Bruce H. J. McKellar, Andrew A. Rawlinson +1
We review why the Thomas rotation is a crucial facet of special relativity, that is just as fundamental, and just as "unintuitive" and "paradoxical", as such traditional effects as…