5,716 research outputs found
Energy level statistics in weakly disordered systems: from quantum to diffusive regime
We calculate two-point energy level correlation function in weakly disorderd
metallic grain with taking account of localization corrections to the universal
random matrix result. Using supersymmetric nonlinear sigma model and exactly
integrating out spatially homogeneous modes, we derive the expression valid for
arbitrary energy differences from quantum to diffusive regime for the system
with broken time reversal symmetry. Our result coincides with the one obtained
by Andreev and Altshuler [Phys. Rev. Lett. 72, 902 (1995)] where homogeneous
modes are perturbatively treated.Comment: 12 pages, no figure, REVTeX 3.1 with pLaTeX 2e; v2: minor grammatical
change
Conservation of Supergravity Currents from Matrix Theory
In recent work by Kabat and Taylor, certain Matrix theory quantities have
been identified with the spatial moments of the supergravity stress-energy
tensor, membrane current, and fivebrane current. In this note, we determine the
relations between these moments required by current conservation, and prove
that these relations hold as exact Matrix Theory identities at finite N. This
establishes conservation of the effective supergravity currents (averaged over
the compact circle). In addition, the constraints of current conservation allow
us to deduce Matrix theory quantities corresponding to moments of the spatial
current of the longitudinal fivebrane charge, not previously identified.Comment: 11 pages, LaTeX, typos correcte
Mass generation of elementary particles and origin of the fundamental forces in algebraic quantum theory
The main thesis of this paper deals with the interactions of a set of
fermions which are described by one basic type of bilinear interactions,two
symmetric semiobjects,three embedded shells and four fundamental (strong)
gravito-electro-magnetic forces between left and right semiobjects,i.e
semifermions.Comment: 40 page
Multiple D0-branes in Weakly Curved Backgrounds
We investigate further our recent proposal for the form of the matrix theory
action in weak background fields. Using Seiberg's scaling argument we relate
the matrix theory action to a low-energy system of many D0-branes in an
arbitrary but weak NS-NS and R-R background. The resulting multiple D0-brane
action agrees with the known Born-Infeld action in the case of a single brane
and gives an explicit formulation of many additional terms which appear in the
multiple brane action. The linear coupling to an arbitrary background metric
satisfies the nontrivial consistency condition suggested by Douglas that the
masses of off-diagonal fields are given by the geodesic distance between the
corresponding pair of D0-branes. This agreement arises from combinatorial
factors which depend upon the symmetrized trace ordering prescription found
earlier for higher moments of the matrix theory stress-energy tensor. We study
the effect of a weak background metric on two graviton interactions and find
that our formalism agrees with the results expected from supergravity. The
results presented here can be T-dualized to give explicit formulae for the
operators in any D-brane world-volume theory which couple linearly to bulk
gravitational fields and their derivatives.Comment: 34 pages, LaTeX; v2: comments and reference added, minor correction
Arkansas Cotton Variety Test 2003
The primary aim of the Arkansas Cotton Variety Test is to provide unbiased data regarding the agronomic performance of cotton varieties and advanced breeding lines in the major cotton-growing areas of Arkansas. This information helps seed dealers establish marketing strategies and assists producers in choosing varieties to plant. In this way, the annual test facilitates the inclusion of new, improved genetic material in Arkansas cotton production
Statistical Origin of Black Hole Entropy in Matrix Theory
The statistical entropy of black holes in M-theory is considered. Assuming
Matrix theory is the discretized light-cone quantization of a theory with
eleven-dimensional Lorentz invariance, we map the counting problem onto the
original Gibbons-Hawking calculation of the thermodynamic entropy.Comment: 9 pages, harvmac, (v2 References added, typo fixed), (v3 Some
clarifying comments added.
Supergravity currents and linearized interactions for Matrix Theory configurations with fermionic backgrounds
The leading terms in the long-range interaction potential between an
arbitrary pair of matrix theory objects are calculated at one-loop order. This
result generalizes previous calculations by including arbitrary fermionic
background field configurations. The interaction potential at orders 1/r^7 and
1/r^8 is shown to correspond precisely with the leading terms expected from
linearized supergravity interactions between arbitrary objects in M-theory.
General expressions for the stress tensor, membrane current and 5-brane current
of an arbitrary matrix configuration are derived, including fermionic
contributions. Supergravity effects which are correctly reproduced include
membrane/5-brane interactions, 0-brane/6-brane interactions,
supercurrent/supercurrent interactions and the spin contributions to moments of
the supergravity currents. The matrix theory description of the supergravity
stress tensor, membrane current and 5-brane current are used to propose an
explicit formulation of matrix theory in an arbitrary background metric and
3-form field.Comment: 71 pages, LaTeX; v2: added references, fixed minor typos v3: minor
errors fixed, comments adde
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