895 research outputs found
Dissipation of mechanical energy in fused silica fibers
For thermal noise considerations of LIGO suspensions, the sources of
dissipation in the suspending fibers must be analyzed. To determine the
dissipation induced by the surface of fused silica fibers, we measured the
quality factor of fibers having various diameters. We measured a maximum
quality factor of 21 million and extrapolated to obtain an intrinsic quality
factor for fused silica of 30 million. Dissipation in the surface dominated at
diameters less than about 1 mm. We developed a method for characterizing
surface-induced dissipation that is independent of sample geometry or mode
shape.Comment: 20 pages, 6 figures, RevTeX. Minor Revisions. Accepted for
publication by Review of Scientific Instruments (29 June 1999). Projected
publication date: October 199
Bound States of Dimensionally Reduced {SYM}_{2+1} at Finite N
We consider the dimensional reduction of N=1 {SYM}_{2+1} to 1+1 dimensions.
The gauge groups we consider are U(N) and SU(N), where N is finite. We
formulate the continuum bound state problem in the light-cone formalism, and
show that any normalizable SU(N) bound state must be a superposition of an
infinite number of Fock states. We also discuss how massless states arise in
the DLCQ formulation for certain discretizations.Comment: 14 pages, REVTE
Effects of a fundamental mass term in two-dimensional super Yang-Mills theory
We show that adding a vacuum expectation value to a gauge field left over
from a dimensional reduction of three-dimensional pure supersymmetric
Yang-Mills theory generates mass terms for the fundamental fields in the
two-dimensional theory while supersymmetry stays intact. This is similar to the
adjoint mass term that is generated by a Chern-Simons term in this theory. We
study the spectrum of the two-dimensional theory as a function of the vacuum
expectation value and of the Chern-Simons coupling. Apart from some symmetry
issues a straightforward picture arises. We show that at least one massless
state exists if the Chern-Simons coupling vanishes. The numerical spectrum
separates into (almost) massless and very heavy states as the Chern-Simons
coupling grows. We present evidence that the gap survives the continuum limit.
We display structure functions and other properties of some of the bound
states.Comment: 17 pp., 10 figs; substantially revised version to be published in
Phys. Rev.
On Exact Supersymmetry in DLCQ
In recent years a supersymmetric form of discrete light-cone quantization
(hereafter `SDLCQ') has emerged as a very powerful tool for solving
supersymmetric field theories. In this scheme, one calculates the light-cone
supercharge with respect to a discretized light-cone Fock basis, instead of
working with the light-cone Hamiltonian. This procedure has the advantage of
preserving supersymmetry even in the discretized theory, and eliminates the
need for explicit renormalizations in 1+1 dimensions. In order to compare the
usual DLCQ prescription with the supersymmetric prescription, we consider two
dimensional SU(N) Yang-Mills theory coupled to a massive adjoint Majorana
fermion, which is known to be supersymmetric at a particular value of the
fermion mass. After studying how singular-valued amplitudes and intermediate
zero momentum modes are regularized in both schemes, we are able to establish a
precise connection between conventional DLCQ and its supersymmetric extension,
SDLCQ. In particular, we derive the explicit form of the (irrelevant)
interaction that renders the DLCQ formulation of the theory exactly
supersymmetric for any light-cone compactification. We check our analytical
results via a numerical procedure, and discuss the relevance of this
interaction when supersymmetry is explicitly broken.Comment: 12 page
D1D5 microstate geometries from string amplitudes
We reproduce the asymptotic expansion of the D1D5 microstate geometries by
computing the emission amplitudes of closed string states from disks with mixed
D1D5 boundary conditions. Thus we provide a direct link between the
supergravity and D-brane descriptions of the D1D5 microstates at non-zero
string coupling. Microscopically, the profile functions characterizing the
microstate solutions are encoded in the choice of a condensate for the twisted
open string states connecting D1 and D5 branes.Comment: 21 pages; added reference
Towards a SDLCQ test of the Maldacena Conjecture
We consider the Maldacena conjecture applied to the near horizon geometry of
a D1-brane in the supergravity approximation and present numerical results of a
test of the conjecture against the boundary field theory calculation using
DLCQ. We previously calculated the two-point function of the stress-energy
tensor on the supergravity side; the methods of Gubser, Klebanov, Polyakov, and
Witten were used. On the field theory side, we derived an explicit expression
for the two-point function in terms of data that may be extracted from the
supersymmetric discrete light cone quantization (SDLCQ) calculation at a given
harmonic resolution. This yielded a well defined numerical algorithm for
computing the two-point function. For the supersymmetric Yang-Mills theory with
16 supercharges that arises in the Maldacena conjecture, the algorithm is
perfectly well defined; however, the size of the numerical computation
prevented us from obtaining a numerical check of the conjecture. We now present
numerical results with approximately 1000 times as many states as we previously
considered. These results support the Maldacena conjecture and are within
of the predicted numerical results in some regions. Our results are
still not sufficient to demonstrate convergence, and, therefore, cannot be
considered to a numerical proof of the conjecture. We present a method for
using a ``flavor'' symmetry to greatly reduce the size of the basis and discuss
a numerical method that we use which is particularly well suited for this type
of matrix element calculation.Comment: 10 pages, 1 figur
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