679 research outputs found

### Area-Preserving Structure of Massless Matter-Gravity Fields in 1+1 Dimensions

We derive anomalous Ward identities in two different approaches to the
quantization of massless matter-gravity fields in 1+1 dimensions.Comment: 5 pages, LaTex. (Contribution to the Proceedings of the XXXIV
Internationale Universit\"atswochen f\"ur Kern- und Teilchenphysik.

### Gauge Fields and Space-Time

In this article I attempt to collect some ideas,opinions and formulae which
may be useful in solving the problem of gauge/ string / space-time
correspondence This includes the validity of D-brane representation, counting
of gauge-invariant words, relations between the null states and the Yang-Mills
equations and the discussion of the strong coupling limit of the string sigma
model. The article is based on the talk given at the "Odyssey 2001" conference.Comment: 20 page

### The Theory of Turbulence in Two Dimensions

The methods of conformal field theory are used to obtain the series of exact
solutions of the fundamental equations of the theory of turbulence. The basic
conjecture, proved to be self-consistent ,is the conformal invariance of the
inertial range. The resulting physical picture is different from the standard
one , since the enstrophy transfer is catalyzed by the large scale motions. The
theory gives some unambiguous predictions for the correlations in the inertial
range.Comment: 18 pages (Plain LateX), PUPT - 136

### Gauge Fields and Strings

Based on his own work, the author synthesizes the most promising approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying field theory and statistical mechanics, and for research workers in continuous global theory

### Eternity and the cosmological constant

The purpose of this paper is to analyze the stability of interacting matter
in the presence of a cosmological constant. Using an approach based on the heat
equation, no imaginary part is found for the effective potential in the
presence of a fixed background, which is the n-dimensional sphere or else an
analytical continuation thereof, which is explored in some detail.Comment: 45 pages, 6 figure

### QCD Strings as Constrained Grassmannian Sigma Model:

We present calculations for the effective action of string world sheet in R3
and R4 utilizing its correspondence with the constrained Grassmannian sigma
model. Minimal surfaces describe the dynamics of open strings while harmonic
surfaces describe that of closed strings. The one-loop effective action for
these are calculated with instanton and anti-instanton background, reprsenting
N-string interactions at the tree level. The effective action is found to be
the partition function of a classical modified Coulomb gas in the confining
phase, with a dynamically generated mass gap.Comment: 22 pages, Preprint: SFU HEP-116-9

### Monopoles and flux strings from SU(2) adjoint scalars

We construct, in an SU(2) gauge theory with two adjoint scalars, flux strings
with monopoles attached at the ends. One scalar breaks SU(2) to U(1) and
produces monopoles, the other then breaks the U(1) and produces strings.
Dualizing, we write the theory in terms of effective string variables and show
that the flux in the string is exactly saturated by the monopoles at the ends.Comment: 12 pp. v2: added several references and reworded some statement

### Loop scattering in two-dimensional QCD

Using the integrability conditions that we recently obtained in QCD$_2$ with
massless fermions, we arrive at a sufficient number of conservation laws to be
able to fix the scattering amplitudes involving a local version of the Wilson
loop operator.Comment: 6 pages, plain tex

### Loop dynamics and AdS/CFT correspondence

We consider the strong coupling limit of conformal gauge theories in 4
dimensions. The action of the loop operator on the minimal area in the AdS
space is analyzed, and the Schwinger-Dyson equations of gauge theory are
checked. The general approach to the loop dynamics developed here goes beyond
the special case of conformal theories.Comment: 19 pages, LaTeX, minor corrections to bring the paper in agreement
with the journal version to be published in Nucl.Phys.

### Gauge Theory Correlators from Non-Critical String Theory

We suggest a means of obtaining certain Green's functions in 3+1-dimensional
${\cal N} = 4$ supersymmetric Yang-Mills theory with a large number of colors
via non-critical string theory. The non-critical string theory is related to
critical string theory in anti-deSitter background. We introduce a boundary of
the anti-deSitter space analogous to a cut-off on the Liouville coordinate of
the two-dimensional string theory. Correlation functions of operators in the
gauge theory are related to the dependence of the supergravity action on the
boundary conditions. From the quadratic terms in supergravity we read off the
anomalous dimensions. For operators that couple to massless string states it
has been established through absorption calculations that the anomalous
dimensions vanish, and we rederive this result. The operators that couple to
massive string states at level $n$ acquire anomalous dimensions that grow as
2\left (n g_{YM} \sqrt {2 N} )^{1/2} for large `t Hooft coupling. This is a
new prediction about the strong coupling behavior of large $N$ SYM theory.Comment: 15 pages, harvmac with btxmac; minor revisions, 1 reference added,
the version to appear in Physics Letters

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