5,029 research outputs found
Combinatorics of lattice paths with and without spikes
We derive a series of results on random walks on a d-dimensional hypercubic
lattice (lattice paths). We introduce the notions of terse and simple paths
corresponding to the path having no backtracking parts (spikes). These paths
label equivalence classes which allow a rearrangement of the sum over paths.
The basic combinatorial quantities of this construction are given. These
formulas are useful when performing strong coupling (hopping parameter)
expansions of lattice models. Some applications are described.Comment: Latex. 25 page
N=1 Supersymmetric Yang-Mills on the lattice at strong coupling
We study N=1 supersymmetric SU(N) Yang-Mills theory on the lattice at strong
coupling. Our method is based on the hopping parameter expansion in terms of
random walks, resummed for any value of the Wilson parameter r in the small
hopping parameter region. Results are given for the mesonic (2-gluino) and
fermionic (3-gluino) propagators and spectrum.Comment: Latex file. 43 pages. Minor additional comments, references added,
typos corrected. Accepted for publication in Int. J. Mod. Phys.
Numerical solution of open string field theory in Schnabl gauge
Using traditional Virasoro level-truncation computations, we evaluate
the open bosonic string field theory action up to level . Extremizing
this level-truncated potential, we construct a numerical solution for tachyon
condensation in Schnabl gauge. We find that the energy associated to the
numerical solution overshoots the expected value at level .
Extrapolating the level-truncation data for to estimate the vacuum
energies for , we predict that the energy reaches a minimum value at , and then turns back to approach asymptotically as . Furthermore, we analyze the tachyon vacuum expectation value (vev),
for which by extrapolating its corresponding level-truncation data, we predict
that the tachyon vev reaches a minimum value at , and then turns
back to approach the expected analytical result as .Comment: 37 pages, 9 figures, some typos correcte
Derivation of diagnostic models based on formalized process knowledge
© IFAC.Industrial systems are vulnerable to faults. Early and accurate detection and diagnosis in production systems can minimize down-time, increase the safety of the plant operation, and reduce manufacturing costs. Knowledge- and model-based approaches to automated fault detection and diagnosis have been demonstrated to be suitable for fault cause analysis within a broad range of industrial processes and research case studies. However, the implementation of these methods demands a complex and error-prone development phase, especially due to the extensive efforts required during the derivation of models and their respective validation. In an effort to reduce such modeling complexity, this paper presents a structured causal modeling approach to supporting the derivation of diagnostic models based on formalized process knowledge. The method described herein exploits the Formalized Process Description Guideline VDI/VDE 3682 to establish causal relations among key-process variables, develops an extension of the Signed Digraph model combined with the use of fuzzy set theory to allow more accurate causality descriptions, and proposes a representation of the resulting diagnostic model in CAEX/AutomationML targeting dynamic data access, portability, and seamless information exchange
Characterization of periodic cavitation in an optical tweezer
Microscopic vapor explosions or cavitation bubbles can be generated
periodically in an optical tweezer with a microparticle that partially absorbs
at the trapping laser wavelength. In this work we measure the size distribution
and the production rate of cavitation bubbles for microparticles with a
diameter of 3 m using high speed video recording and a fast photodiode. We
find that there is a lower bound for the maximum bubble radius m which can be explained in terms of the microparticle size. More than
of the measured are in the range between 2 and 6 m,
while the same percentage of the measured individual frequencies or
production rates are between 10 and 200 Hz. The photodiode signal yields an
upper bound for the lifetime of the bubbles, which is at most twice the value
predicted by the Rayleigh equation. We also report empirical relations between
, and the bubble lifetimes.Comment: 5 pages, 3 figure
Generating Erler-Schnabl-type Solution for Tachyon Vacuum in Cubic Superstring Field Theory
We study a new set of identity-based solutions to analyze the problem of
tachyon condensation in open bosonic string field theory and cubic superstring
field theory. Even though these identity-based solutions seem to be trivial, it
turns out that after performing a suitable gauge transformation, we are left
with the known Erler-Schnabl-type solutions which correctly reproduce the value
of the D-brane tension. This result shows explicitly that how a seemingly
trivial solution can generate a non-trivial configuration which precisely
represents to the tachyon vacuum.Comment: 22 pages, references added, appendix added, 2 subsections adde
N=1 Super Yang-Mills on the Lattice in the Strong Coupling Limit
We study the N=1 supersymmetric SU(N) Yang-Mills theory on the lattice at
strong coupling. We analyse and discuss the recent results obtained at strong
coupling and large N for the mesonic and fermionic propagators and spectrum.Comment: Latex 3 pages. Contribution to the Lattice99 Proceeding
Integrability in Theories with Local U(1) Gauge Symmetry
Using a recently developed method, based on a generalization of the zero
curvature representation of Zakharov and Shabat, we study the integrability
structure in the Abelian Higgs model. It is shown that the model contains
integrable sectors, where integrability is understood as the existence of
infinitely many conserved currents. In particular, a gauge invariant
description of the weak and strong integrable sectors is provided. The
pertinent integrability conditions are given by a U(1) generalization of the
standard strong and weak constraints for models with two dimensional target
space. The Bogomolny sector is discussed, as well, and we find that each
Bogomolny configuration supports infinitely many conserved currents. Finally,
other models with U(1) gauge symmetry are investigated.Comment: corrected typos, version accepted in J. Phys.
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