40,675 research outputs found
Permutation Symmetric Critical Phases in Disordered Non-Abelian Anyonic Chains
Topological phases supporting non-abelian anyonic excitations have been
proposed as candidates for topological quantum computation. In this paper, we
study disordered non-abelian anyonic chains based on the quantum groups
, a hierarchy that includes the FQH state and the proposed
Fibonacci state, among others. We find that for odd these
anyonic chains realize infinite randomness critical {\it phases} in the same
universality class as the permutation symmetric multi-critical points of
Damle and Huse (Phys. Rev. Lett. 89, 277203 (2002)). Indeed, we show that the
pertinent subspace of these anyonic chains actually sits inside the symmetric sector of the Damle-Huse model, and this symmetry stabilizes the phase.Comment: 13 page
Design of prototype charged particle fog dispersal unit
The unit was designed to be easily modified so that certain features that influence the output current and particle size distribution could be examined. An experimental program was designed to measure the performance of the unit. The program described includes measurements in a fog chamber and in the field. Features of the nozzle and estimated nozzle characteristics are presented
Soft Wilson lines in soft-collinear effective theory
The effects of the soft gluon emission in hard scattering processes at the
phase boundary are resummed in the soft-collinear effective theory (SCET). In
SCET, the soft gluon emission is decoupled from the energetic collinear part,
and is obtained by the vacuum expectation value of the soft Wilson-line
operator. The form of the soft Wilson lines is universal in deep inelastic
scattering, in the Drell-Yan process, in the jet production from e+e-
collisions, and in the gamma* gamma* -> pi0 process, but its analytic structure
is slightly different in each process. The anomalous dimensions of the soft
Wilson-line operators for these processes are computed along the light-like
path at leading order in SCET and to first order in alpha_s, and the
renormalization group behavior of the soft Wilson lines is discussed.Comment: 36 pages, 10 figures, 3 table
Relative distributions of W's and Z's at low transverse momenta
Despite large uncertainties in the and transverse momentum
() distributions for q_T\lsim 10 GeV, the ratio of the distributions
varys little. The uncertainty in the ratio of to distributions is
on the order of a few percent, independent of the details of the
nonperturbative parameterization.Comment: 13 pages in revtex, 5 postscript figures available upon request,
UIOWA-94-0
General moments of the inverse real Wishart distribution and orthogonal Weingarten functions
Let be a random positive definite symmetric matrix distributed according
to a real Wishart distribution and let be its inverse
matrix. We compute general moments explicitly. To do so, we employ the orthogonal Weingarten
function, which was recently introduced in the study for Haar-distributed
orthogonal matrices. As applications, we give formulas for moments of traces of
a Wishart matrix and its inverse.Comment: 29 pages. The last version differs from the published version, but it
includes Appendi
Enhanced nonperturbative effects in jet distributions
We consider the triple differential distribution
d\Gamma/(dE_J)(dm_J^2)(d\Omega_J) for two-jet events at center of mass energy
M, smeared over the endpoint region m_J^2 << M^2, |2 E_J -M| ~ \Delta, \lqcd <<
\Delta << M. The leading nonperturbative correction, suppressed by
\lqcd/\Delta, is given by the matrix element of a single operator. A similar
analysis is performed for three jet events, and the generalization to any
number of jets is discussed. At order \lqcd/\Delta, non-perturbative effects in
four or more jet events are completely determined in terms of two matrix
elements which can be measured in two and three jet events.Comment: Significant changes made. The first moment does not vanish--the paper
has been modified to reflect this. Relations between different numbers of
jets still hol
Hard-scattering factorization with heavy quarks: A general treatment
A detailed proof of hard scattering factorization is given with the inclusion
of heavy quark masses. Although the proof is explicitly given for
deep-inelastic scattering, the methods apply more generally The
power-suppressed corrections to the factorization formula are uniformly
suppressed by a power of \Lambda/Q, independently of the size of heavy quark
masses, M, relative to Q.Comment: 52 pages. Version as published plus correction of misprint in Eq.
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