1,316 research outputs found
Gauges and Cosmological Backreaction
We present a formalism for spatial averaging in cosmology applicable to
general spacetimes and coordinates, and allowing the easy incorporation of a
wide variety of matter sources. We apply this formalism to a
Friedmann-LeMaitre-Robertson-Walker universe perturbed to second-order and
present the corrections to the background in an unfixed gauge. We then present
the corrections that arise in uniform curvature and conformal Newtonian gauges.Comment: 13 pages. Updated: reference added, typos corrected, exposition
clarified. Version 3: Replaced with version published by JCA
The Light-Cone Wave Function of the Pion
The light-cone wave function of the pion is calculated within the
Nambu-Jona-Lasinio model. The result is used to derive the pion electromagnetic
form factor, charge radius, structure function, pi-gamma transition form factor
and distribution amplitude.Comment: 6 pages, 1 figure, elsart.sty; talk given at 10th International
Light-Cone Meeting on Nonperturbative QCD and Hadron Phenomenology,
Heidelberg, Germany, June 200
Chiral Anomaly Effects and the BaBar Measurements of the Transition Form Factor
The recent BaBar measurements of the transition
form factor show spectacular deviation from perturbative QCD prediction for
large space-like up to . When plotted against ,
shows steady increase with in contrast with the flat
behavior predicted by perturbative QCD, and at is
more than 50% larger than the QCD prediction. Stimulated by the BaBar
measurements, we revisit our previous paper on the cancellation of anomaly
effects in high energy processes , and apply our results to the
transition form factor measured in the
process with one highly virtual photon. We find that, the transition form
factor behaves as and produces a striking agreement with the BaBar data
for with which also reproduces very well the
CLEO data at lower .Comment: v4, LaTeX, 8 pages, one figure, minor changes(references), to appear
in Int. J. Mod. Phys.
Donaldson-Thomas invariants and wall-crossing formulas
Notes from the report at the Fields institute in Toronto. We introduce the
Donaldson-Thomas invariants and describe the wall-crossing formulas for
numerical Donaldson-Thomas invariants.Comment: 18 pages. To appear in the Fields Institute Monograph Serie
A Construction of Solutions to Reflection Equations for Interaction-Round-a-Face Models
We present a procedure in which known solutions to reflection equations for
interaction-round-a-face lattice models are used to construct new solutions.
The procedure is particularly well-suited to models which have a known fusion
hierarchy and which are based on graphs containing a node of valency . Among
such models are the Andrews-Baxter-Forrester models, for which we construct
reflection equation solutions for fixed and free boundary conditions.Comment: 9 pages, LaTe
Solution of the dual reflection equation for SOS model
We obtain a diagonal solution of the dual reflection equation for elliptic
SOS model. The isomorphism between the solutions of the
reflection equation and its dual is studied.Comment: Latex file 12 pages, added reference
Information on the Pion Distribution Amplitude from the Pion-Photon Transition Form Factor with the Belle and BaBar Data
The pion-photon transition form factor (TFF) provides strong constraints on
the pion distribution amplitude (DA). We perform an analysis of all existing
data (CELLO, CLEO, BaBar, Belle) on the pion-photon TFF by means of light-cone
pQCD approach in which we include the next-to-leading order correction to the
valence-quark contribution and estimate the non-valence-quark contribution by a
phenomenological model based on the TFF's limiting behavior at both
and . At present, the pion DA is not definitely determined, it is
helpful to have a pion DA model that can mimic all the suggested behaviors,
especially to agree with the constraints from the pion-photon TFF in whole
measured region within a consistent way. For the purpose, we adopt the
conventional model for pion wavefunction/DA that has been constructed in our
previous paper \cite{hw1}, whose broadness is controlled by a parameter . We
fix the DA parameters by using the CELLO, CLEO, BABAR and Belle data within the
smaller region ( GeV), where all the data are consistent
with each other. And then the pion-photon TFF is extrapolated into larger
region. We observe that the BABAR favors which has the behavior close
to the Chernyak-Zhitnitsky DA, whereas the recent Belle favors which
is close to the asymptotic DA. We need more accurate data at large region
to determine the precise value of , and the definite behavior of pion DA can
be concluded finally by the consistent data in the coming future.Comment: 6 pages, 5 figures. Slightly changed and references update
Surface operator content of the A_L face models
A set of fixed boundary weights for both the critical dense and dilute A_L
face models is constructed from the known boundary weights of the related loop
model. The surface operator content and the conformal partition functions then
follow from the results obtained via the Bethe equations.Comment: 12 pages, LaTeX, 2 eps figs, Elsevier style files, to appear in the
Hans van Leeuwen festschrift (Physica A
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