منابع مشابه
Touching random surfaces and Liouville gravity.
Large N matrix models modified by terms of the form g(TrΦn)2 generate random surfaces which touch at isolated points. Matrix model results indicate that, as g is increased to a special value gt, the string susceptibility exponent suddenly jumps from its conventional value γ to γ γ−1 . We study this effect in Liouville gravity and attribute it to a change of the interaction term from Oeα+φ for g...
متن کاملLattice Gravity and Random Surfaces
I review recent progress in simplicial quantum gravity in three and four dimensions, in particular new results on the phase structure of modified models of dynamical triangulations, the application of a strong-coupling expansion, and the benefits provided by including degenerate triangulations. In addition, I describe some recent numerical and analytical results on anisotropic crystalline membr...
متن کاملRandom Surfaces and Lattice Gravity
In this talk I review some of the recent developments in the field of random surfaces and the Dynamical Triangulation approach to simplicial quantum gravity. In two dimensions I focus on the c = 1 barrier and the fractal dimension of two-dimensional quantum gravity coupled to matter with emphasis on the comparison of analytic predictions and numerical simulations. Next is a survey of the curren...
متن کاملLiouville gravity from Einstein gravity
We show that Liouville gravity arises as the limit of pure Einstein gravity in 2+ ε dimensions as ε goes to zero, provided Newton’s constant scales with ε. Our procedure – spherical reduction, dualization, limit, dualizing back – passes several consistency tests: geometric properties, interactions with matter and the Bekenstein-Hawking entropy are as expected from Einstein gravity. Platinum Jub...
متن کاملRandom Surfaces in Three-Dimensional Simplicial Gravity
A model of simplicial quantum gravity in three dimensions is investigated numerically based on the technique of the dynamical triangulation (DT). We are concerned with the surfaces appearing on boundaries (i.e., sections) of three-dimensional DT manifold with S3 topology. A new scaling behavior of genus distributions of boundary surfaces is found. Furthermore, these surfaces are compared with t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 1995
ISSN: 0556-2821
DOI: 10.1103/physrevd.51.1836