231 research outputs found
Does Yang-Mills theory describe quantum gravity?
The strongest version of the gauge/gravity duality conjecture relates the 1/N
correction in super Yang-Mills theory and the quantum correction in superstring
theory. We perform a quantitative test of this conjecture at finite
temperature, by studying the D0-brane matrix quantum mechanics and the black
zero-brane in type IIA superstring theory. We find good agreement, which
strongly suggests that the super Yang-Mills theory does provide us with a
nonperturbative formulation of quantum gravity through the gauge/gravity
duality.Comment: Numerical data suggests the answer is yes. Talk at Workshop on
Noncommutative Field Theory and Gravity, 13th Hellenic School and Workshops
on Elementary Particle Physics and Gravity, at the Corfu Summer Institute,
Greece, on Sept 10, 2013. A short and easy introduction for hep-lat/hep-ph
people and student
Monte Carlo approach to the string/M-theory
It has long been conjectured that certain supersymmetric Yang-Mills (SYM)
theories provide us with nonperturbative formulations of the string/M-theory.
Although the supersymmetry (SUSY) on lattice is notoriously difficult in
general, for a class of theories important for the string/M-theory various
lattice and non-lattice methods, which enable us to study them on computers,
have been proposed by now. In this talk, firstly I explain how SYM and
string/M-theory are related. Then I explain why the lattice SUSY is difficult
in general, and how the difficulties are solved in theories related to
string/M-theory. Then I review the status of the simulations. It is explained
that some stringy effects are correctly incorporated in SYM. Furthermore,
concrete values can be obtained from the SYM side, even when a direct
calculation on the string theory side is impossible by the state-of-the-art
techniques. We also comment on other recent developments, including the
membrane mini-revolution in 2008 and simulation of the matrix model formulation
of the string theory.Comment: 17 pages, 7 figures. Plenary talk presented at the 30th International
Symposium on Lattice Field Theory - Lattice 2012, June 24-29, 2012 Cairns,
Australi
String tension and string susceptibility in two-dimensional generalized Weingarten model
We study the two-dimensional generalized Weingarten model reduced to a point,
which interpolates reduced Weingarten model and the large-N gauge theory. We
calculate the expectation value of the Wilson loop using Monte-Carlo method and
determine the string tension and string susceptibility. The numerical result
suggests that the string susceptibility approaches to -2 in a certain
parametric region, which implies that the branched-polymer configurations are
suppressed.Comment: 13 pages; typos correcte
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