5,752 research outputs found
Logarithmic conformal field theories with continuous weights
We study the logarithmic conformal field theories in which conformal weights
are continuous subset of real numbers. A general relation between the
correlators consisting of logarithmic fields and those consisting of ordinary
conformal fields is investigated. As an example the correlators of the
Coulomb-gas model are explicitly studied.Comment: Latex, 12 pages, IPM preprint, to appear in Phys. Lett.
The Logarithmic Conformal Field Theories
We study the correlation functions of logarithmic conformal field theories.
First, assuming conformal invariance, we explicitly calculate two-- and three--
point functions. This calculation is done for the general case of more than one
logarithmic field in a block, and more than one set of logarithmic fields. Then
we show that one can regard the logarithmic field as a formal derivative of the
ordinary field with respect to its conformal weight. This enables one to
calculate any -- point function containing the logarithmic field in terms of
ordinary --point functions. At last, we calculate the operator product
expansion (OPE) coefficients of a logarithmic conformal field theory, and show
that these can be obtained from the corresponding coefficients of ordinary
conformal theory by a simple derivation.Comment: 17 pages ,latex , some minor changes, to appear in Nucl. Phys.
Logarithmic N=1 superconformal field theories
We study the logarithmic superconformal field theories. Explicitly, the
two-point functions of N=1 logarithmic superconformal field theories (LSCFT)
when the Jordan blocks are two (or more) dimensional, and when there are one
(or more) Jordan block(s) have been obtained. Using the well known three-point
fuctions of N=1 superconformal field theory (SCFT), three-point functions of
N=1 LSCFT are obtained. The general form of N=1 SCFT's four-point functions is
also obtained, from which one can easily calculate four-point functions in N=1
LSCFT.Comment: 10 pages, LaTeX file, minor revisions made, to appear in Phys. Lett.
A Logarithmic Conformal Field Theory Solution For Two Dimensional Magnetohydrodynamics In Presence of The Alf'ven Effect
When Alf`ven effect is peresent in magnetohydrodynamics one is naturally lead
to consider conformal field theories, which have logarithmic terms in their
correlation functions. We discuss the implications of such logarithmic terms
and find a unique conformal field theory with centeral charge
, within the border of the minimal series, which satisfies
all the constraints. The energy espectrum is found to be \newline .Comment: Latex, 9 page
Impact of void ratio and state parameters on the small strain shear modulus of unsaturated soils
Zero tension Kardar-Parisi-Zhang equation in (d+1)- Dimensions
The joint probability distribution function (PDF) of the height and its
gradients is derived for a zero tension -dimensional Kardar-Parisi-Zhang
(KPZ) equation. It is proved that the height`s PDF of zero tension KPZ equation
shows lack of positivity after a finite time . The properties of zero
tension KPZ equation and its differences with the case that it possess an
infinitesimal surface tension is discussed. Also potential relation between the
time scale and the singularity time scale of the KPZ
equation with an infinitesimal surface tension is investigated.Comment: 18 pages, 8 figure
Quantum teleportation with nonclassical correlated states in noninertial frames
Quantum teleportation is studied in noninertial frame, for fermionic case,
when Alice and Bob share a general nonclassical correlated state. In
noninertial frames two fidelities of teleportation are given. It is found that
the average fidelity of teleportation from a separable and nonclassical
correlated state is increasing with the amount of nonclassical correlation of
the state. However, for any particular nonclassical correlated state, the
fidelity of teleportation decreases by increasing the acceleration.Comment: 10 pages, 3 figures, expanded version to appear in Quantum Inf.
Proces
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