1,039 research outputs found
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.
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.
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
On Maximum Signless Laplacian Estrada Indices of Graphs with Given Parameters
Signless Laplacian Estrada index of a graph , defined as
, where are the
eigenvalues of the matrix . We
determine the unique graphs with maximum signless Laplacian Estrada indices
among the set of graphs with given number of cut edges, pendent vertices,
(vertex) connectivity and edge connectivity.Comment: 14 pages, 3 figure
Discrete scale invariance, and its logarithmic extension
It is known that discrete scale invariance leads to log-periodic corrections
to scaling. We investigate the correlations of a system with discrete scale
symmetry, discuss in detail possible extension of this symmetry such as
translation and inversion, and find general forms for correlation functions.Comment: 12 pages, LaTe
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
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