74 research outputs found
Convergent Yang-Mills Matrix Theories
We consider the partition function and correlation functions in the bosonic
and supersymmetric Yang-Mills matrix models with compact semi-simple gauge
group. In the supersymmetric case, we show that the partition function
converges when and 10, and that correlation functions of degree are convergent independently of the group. In the bosonic case we
show that the partition function is convergent when , and that
correlation functions of degree are convergent, and calculate
and for each group, thus extending our previous results for SU(N). As a
special case these results establish that the partition function and a set of
correlation functions in the IKKT IIB string matrix model are convergent.Comment: 21 pages, no figures, JHEP style, typos corrected, 1 reference adde
The spectral dimension of the branched polymers phase of two-dimensional quantum gravity
The metric of two-dimensional quantum gravity interacting with conformal
matter is believed to collapse to a branched polymer metric when the central
charge c>1. We show analytically that the spectral dimension of such a branched
polymer phase is four thirds. This is in good agreement with numerical
simulations for large c.Comment: 29 pages plain LateX2e, 7 eps figures included using eps
The Convergence of Yang-Mills Integrals
We prove that SU(N) bosonic Yang-Mills matrix integrals are convergent for
dimension (number of matrices) . It is already known that for
N=2; we prove that for N=3 and that for . These results
are consistent with the numerical evaluations of the integrals by Krauth and
Staudacher.Comment: 13 pages, no figures, uses JHEP class. Extra references adde
The spectral dimension of non-generic branched polymers
We show that the spectral dimension on non-generic branched polymers with
positive susceptibility exponent is given by . For those
models with we find that .Comment: LATTICE98(surfaces
The Spectral Dimension of Non-generic Branched Polymer Ensembles
We show that the spectral dimension on non-generic branched polymer models
with susceptibility exponent is given by . For those
models with negative we find that the spectral dimension is 2.Comment: 10 pages plain LateX2e, 1 eps figures included using eps
Bottleneck Surfaces and Worldsheet Geometry of Higher-Curvature Quantum Gravity
We describe a simple lattice model of higher-curvature quantum gravity in two
dimensions and study the phase structure of the theory as a function of the
curvature coupling. It is shown that the ensemble of flat graphs is
entropically unstable to the formation of baby universes. In these simplified
models the growth in graphs exhibits a branched polymer behaviour in the phase
directly before the flattening transition.Comment: 18 pages LaTeX, 3 .eps figures, uses epsf.tex; clarifying comments
added and typos correcte
ND Tadpoles as New String States and Quantum Mechanical Particle-Wave Duality from World-Sheet T-Duality
We consider new objects in bosonic open string theory -- ND tadpoles, which
have N(euman) boundary conditions at one end of the world-sheet and D(irichlet)
at the other, must exist due to s-t duality in a string theory with both NN
strings and D-branes. We demonstrate how to interpolate between N and D
boundary conditions. In the case of mixed boundary conditions the action for a
quantum particle is induced on the boundary. Quantum-mechanical particle-wave
duality, a dual description of a quantum particle in either the coordinate or
the momentum representation, is induced by world-sheet T-duality. The famous
relation between compactification radii is equivalent to the quantization of
the phase space area of a Planck cell. We also introduce a boundary operator -
a ``Zipper'' which changes the boundary condition from N into D and vice versa.Comment: 10 pages plain LateX2e, 4 eps figures included using epsf. Revised
version with extra reference
What does E_8 know about 11 dimensions ?
We discuss some possible relationships in gauge theories, string theory and M
theory in the light of some recent results obtained in gauge invariant
supersymmetric quantum mechanics. In particular this reveals a new relationship
between the gauge group E_8 and 11-dimensional space.Comment: 6 pages, Latex, no figure
Boundary Logarithmic Conformal Field Theory
We discuss the effect of boundaries in boundary logarithmic conformal field
theory and show, with reference to both and models, how they
produce new features even in bulk correlation functions which are not present
in the corresponding models without boundaries. We discuss the modification of
Cardy's relation between boundary states and bulk quantities.Comment: 17 pages,3 eps figures, revised final section, clarification added in
a couple of other places, typos correcte
Aspects of dynamical dimensional reduction in multigraph ensembles of CDT
We study the continuum limit of a "radially reduced" approximation of Causal
Dynamical Triangulations (CDT), so-called multigraph ensembles, and explain why
they serve as realistic toy models to study the dimensional reduction observed
in numerical simulations of four-dimensional CDT. We present properties of this
approximation in two, three and four dimensions comparing them with the
numerical simulations and pointing out some common features with 2+1
dimensional Horava-Lifshitz gravity.Comment: 4 pages, 1 figure, Presented at "Gravity, Quantum, and Black Holes"
session of IC-MSQUARE 2012, Budapest, to appear in the proceedings, IOP
Conference Serie
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