Exact Chiral Fermions and Finite Density on Lattice

Any mu^2-divergence is shown analytically to be absent for a class of actions for Overlap and Domain Wall Fermions with nonzero chemical potential. All such actions are, however, shown to violate the chiral invariance. While the parameter M of these actions can be shown to be irrelevant in the continuum limit, as expected, it is shown numerically that the continuum limit can be reached with relatively coarser lattices for M in the range of 1.5-1.6.Comment: 8 pages, 3 figures, talk presented at The XXVI International Symposium on Lattice Field Theory, July 14 - 19, 2008, Williamsburg, Virginia, US

On the solutions of certain q-shift delay differential equations over non-Archimedean field

Inspired by the results of Malmquist [13], in this paper, we have investigated on the solutions of q-shift delay differential equations over non-Archimedean field. We also proved Clunie-type result corresponding to certain q-shift delay differential equations over non-Archimedean field.Publisher's Versio