903 research outputs found
Geometrical Construction of Heterogeneous Loop Amplitudes in 2D Gravity
We study a disk amplitude which has a complicated heterogeneous matter
configuration on the boundary in a system of the (3,4) conformal matter coupled
to two-dimensional gravity. It is analyzed using the two-matrix chain model in
the large N limit. We show that the disk amplitude calculated by
Schwinger-Dyson equations can completely be reproduced through purely
geometrical consideration. From this result, we speculate that all
heterogeneous loop amplitudes can be derived from the geometrical consideration
and the consistency among relevant amplitudes.Comment: 13 pages, 11 figure
A Note on String Field Theory in the Temporal Gauge
In this note, we review the recent developments in the string field theory in
the temporal gauge. (Based on a talk presented by N.I. in the workshop {\it
Quantum Field Theory, Integrable Models and Beyond}, Yukawa Institute for
Theoretical Physics, Kyoto University, 14-18 February 1994.)Comment: 20 pages, KEK-TH-411, LaTex fil
Loop Equations for + and - Loops in c = 1/2 Non-Critical String Theory
New loop equations for all genera in non-critical string
theory are constructed. Our loop equations include two types of loops, loops
with all Ising spins up (+ loops) and those with all spins down ( loops).
The loop equations generate an algebra which is a certain extension of
algebra and are equivalent to the constraints derived before in the
matrix-model formulation of 2d gravity. Application of these loop equations to
construction of Hamiltonian for string field theory is
considered.Comment: 21 pages, LaTex file, no figure
Stochastic Hamiltonian for Non-Critical String Field Theories from Double-Scaled Matrix Models
We present detailed discussions on the stochastic Hamiltonians for
non-critical string field theories on the basis of matrix models. Beginning
from the simplest case, we derive the explicit forms of the Hamiltonians
for the higher critical case (which corresponds to ) and for the
case , directly from the double-scaled matrix models. In particular, for
the two-matrix case, we do not put any restrictions on the spin configurations
of the string fields. The properties of the resulting infinite algebras of
Schwinger-Dyson operators associated with the Hamiltonians and the derivation
of the Virasoro and algebras therefrom are also investigated. Our results
suggest certain universal structure of the stochastic Hamiltonians, which might
be useful for an attempt towards a background independent string field theory.Comment: 70 pages, LaTeX, typographical errors are corrected, to be published
in Phys. Rev.
High-resolution CaCO3 variation of core COR-1bPC in the Conrad Rise in the Indian Sector of the East Antarctic
第3回極域科学シンポジウム 横断セッション「海・陸・氷床から探る後期新生代の南極寒冷圏環境変動」11月26日(月) 国立国語研究所 2階講
Editorial: hypotheses about protein folding - the proteomic code and wonderfolds
Theoretical biology journals can contribute in many ways to the progress of knowledge. They are particularly well-placed to encourage dialogue and debate about hypotheses addressing problematical areas of research. An online journal provides an especially useful forum for such debate because of the option of posting comments within days of the publication of a contentious article
Age trajectories of glycaemic traits in non-diabetic South Asian and white individuals: the Whitehall II cohort study.
South Asian individuals have an increased prevalence of type 2 diabetes, but little is known about the development of glycaemic traits in this ethnic group. We compared age-related changes in glycaemic traits between non-diabetic South Asian and white participants
A geometric approach to free variable loop equations in discretized theories of 2D gravity
We present a self-contained analysis of theories of discrete 2D gravity
coupled to matter, using geometric methods to derive equations for generating
functions in terms of free (noncommuting) variables. For the class of discrete
gravity theories which correspond to matrix models, our method is a
generalization of the technique of Schwinger-Dyson equations and is closely
related to recent work describing the master field in terms of noncommuting
variables; the important differences are that we derive a single equation for
the generating function using purely graphical arguments, and that the approach
is applicable to a broader class of theories than those described by matrix
models. Several example applications are given here, including theories of
gravity coupled to a single Ising spin (), multiple Ising spins (), a general class of two-matrix models which includes the Ising theory and
its dual, the three-state Potts model, and a dually weighted graph model which
does not admit a simple description in terms of matrix models.Comment: 40 pages, 8 figures, LaTeX; final publication versio
Exact Renormalization Group and Loop Equation
We propose a gauge invariant formulation of the exact renormalization group
equation for nonsupersymmetric pure U(N) Yang-Mills theory, based on the
construction by Tim Morris. In fact we show that our renormalization group
equation amounts to a regularized version of the loop equation, thereby
providing a direct relation between the exact renormalization group and the
Schwinger-Dyson equations. We also discuss a possible implication of our
formulation to the holographic correspondence of the bulk gravity and the
boundary gauge theory.Comment: 13 pages, Latex, References added. An error in eq. (6) fixed and a
few corrrections accordingly. Results unchange
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