762 research outputs found
A Proposal for Simulating Chiral Fermions
We describe a method for evaluating chiral gauge theories that is not plagued
by the doubling problem. To demonstrate the efficiency of the approach, we
apply our ideas to the chiral Schwinger model.Comment: 10 pages, HLRZ 92-3
Asymptotic enumeration of magic series
A magic series is a set of natural numbers that, by virtue of its size, sum,
and maximum value, could fill a row of a normal magic square. In this paper, we
derive an exact two-dimensional integral representation for the number of magic
series of order N. By applying the stationary phase approximation, we develop
an expansion in powers of 1/N for the number of magic series and calculate the
first few terms. We find excellent agreement between our approximation and the
known exact values. Related results are presented for magic cube and hypercube
series, bimagic series, and trimagic series
PC-CUBE: A Personal Computer Based Hypercube
PC-CUBE is an ensemble of IBM PCs or close compatibles connected in the hypercube topology with ordinary computer cables. Communication occurs at the rate of 115.2 K-band via the RS-232 serial links. Available for PC-CUBE is the Crystalline Operating System III (CrOS III), Mercury Operating System, CUBIX and PLOTIX which are parallel I/O and graphics libraries. A CrOS performance monitor was developed to facilitate the measurement of communication and computation time of a program and their effects on performance. Also available are CXLISP, a parallel version of the XLISP interpreter; GRAFIX, some graphics routines for the EGA and CGA; and a general execution profiler for determining execution time spent by program subroutines. PC-CUBE provides a programming environment similar to all hypercube systems running CrOS III, Mercury and CUBIX. In addition, every node (personal computer) has its own graphics display monitor and storage devices. These allow data to be displayed or stored at every processor, which has much instructional value and enables easier debugging of applications. Some application programs which are taken from the book Solving Problems on Concurrent Processors (Fox 88) were implemented with graphics enhancement on PC-CUBE. The applications range from solving the Mandelbrot set, Laplace equation, wave equation, long range force interaction, to WaTor, an ecological simulation
The staggered domain wall fermion method
A different lattice fermion method is introduced. Staggered domain wall
fermions are defined in 2n+1 dimensions and describe 2^n flavors of light
lattice fermions with exact U(1) x U(1) chiral symmetry in 2n dimensions. As
the size of the extra dimension becomes large, 2^n chiral flavors with the same
chiral charge are expected to be localized on each boundary and the full
SU(2^n) x SU(2^n) flavor chiral symmetry is expected to be recovered. SDWF give
a different perspective into the inherent flavor mixing of lattice fermions and
by design present an advantage for numerical simulations of lattice QCD
thermodynamics. The chiral and topological index properties of the SDWF Dirac
operator are investigated. And, there is a surprise ending...Comment: revtex4, 7 figures, minor revisions, 2 references adde
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