12,461 research outputs found
Symmetry and Z_2-Orbifolding Approach in Five-dimensional Lattice Gauge Theory
In a lattice gauge-Higgs unification scenario using a Z_2-orbifolded
extra-dimension, we find a new global symmetry in a case of SU(2) bulk gauge
symmetry. It is a global symmetry on sites in a fixed point with respect to
Z_2-orbifolding, independent of the bulk gauge symmetry. It is shown that the
vacuum expectation value of a Z_2-projected Polyakov loop is a good order
parameter of the new symmetry. The effective theory on lattice is also
discussed.Comment: 13 pages, 3 figures; refined the explanation
Vacuum Structure of the Ichimatsu-Decomposed Lattice Models
We proposed an `Ichimatsu'-decomposed lattice gauge theory with fermionic
symmetries. The vacuum structures of the gauge sector with two coupling
constants () are investigated for 3-dimensional Z and
4-dimensional SU(2) cases using mean-field approximation and numerical
simulation. We found two phases on the () phase diagram for
3-dim. Z case, while the diagram is a single phase for the latter.Comment: 3 pages, 6 figures, Lattice2002(higgssusy
Non-line-of-sight Node Localization based on Semi-Definite Programming in Wireless Sensor Networks
An unknown-position sensor can be localized if there are three or more
anchors making time-of-arrival (TOA) measurements of a signal from it. However,
the location errors can be very large due to the fact that some of the
measurements are from non-line-of-sight (NLOS) paths. In this paper, we propose
a semi-definite programming (SDP) based node localization algorithm in NLOS
environment for ultra-wideband (UWB) wireless sensor networks. The positions of
sensors can be estimated using the distance estimates from location-aware
anchors as well as other sensors. However, in the absence of LOS paths, e.g.,
in indoor networks, the NLOS range estimates can be significantly biased. As a
result, the NLOS error can remarkably decrease the location accuracy.
And it is not easy to efficiently distinguish LOS from NLOS measurements. In
this paper, an algorithm is proposed that achieves high location accuracy
without the need of identifying NLOS and LOS measurement.Comment: submitted to IEEE ICC'1
Staggered Fermion, its Symmetry and Ichimatsu-Patterned Lattice
We investigate exact symmetries of a staggered fermion in D dimensions. The
Dirac operator is reformulated by SO(2D) Clifford algebra. The chiral symmetry,
rotational invariance and parity symmetries are clarified in any dimension.
Local scalar and pseudo-scalar modes are definitely determined, in which we
find non-standard modes. The relation to Ichimatsu-patterned lattice approach
is discussed.Comment: 3 pages, 1 figure, "Talk at Lattice2004(theory), Fermilab, June
21-26, 2004
Novel Approach to Super Yang-Mills Theory on Lattice - Exact fermionic symmetry and "Ichimatsu" pattern -
We present a lattice theory with an exact fermionic symmetry, which mixes the
link and the fermionic variables. The staggered fermionic variables may be
reconstructed into a Majorana fermion in the continuum limit. The gauge action
has a novel structure. Though it is the ordinary plaquette action, two
different couplings are assigned in the ``Ichimatsu pattern'' or the checkered
pattern. In the naive continuum limit, the fermionic symmetry survives as a
continuum (or an ) symmetry. The transformation of the fermion is
proportional to the field strength multiplied by the difference of the two
gauge couplings in this limit. This work is an extension of our recently
proposed cell model toward the realization of supersymmetric Yang-Mills theory
on lattice.Comment: 26 pages, 4 figure
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