Pepsin
发表于 2025-3-28 14:48:53
Non-Perturbative Effects in 2D Gravity and Matrix Modelsl integral may be discretized in such a way that the topological expansion in terms of the genus of the manifold is mapped onto the 1/. expansion of some zero-dimensional matrix model . The . = ∞ limit exhibits critical points which can be shown to describe the continuum limit of 2-dimensional gr
linear
发表于 2025-3-28 21:38:16
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Ibd810
发表于 2025-3-29 00:38:06
Topological Strings and Loop Equationsal metric that is introduced to achieve invariance under general coordinate transformations. Even in two-dimensions, where the issue seems much more accessible and essentially reduces to an understanding of the Liouville dynamics, an exact solution of quantum gravity has until recently remained elus
PUT
发表于 2025-3-29 03:43:21
Action Principle and Large Order Behavior of Non-Perturbative Gravitygravity coupled to . < 1 matter. Our motivation is to learn what we can about non-perturbative features of quantum gravity and string theory using standard mathematical techniques for studying the asymptotic behavior of perturbation series. In particular we wish ultimately to probe whether we indeed
女上瘾
发表于 2025-3-29 10:03:51
- Geometryolume cover this subject, rather than paraphrasing our paper, I thought it would be more appropriate to discuss here some investigations carried in collaboration with P. Di Francesco and J.-B. Zuber on the relation between geometry, differential operators and classical . - algebras. The latter were
bonnet
发表于 2025-3-29 14:28:02
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Cholecystokinin
发表于 2025-3-29 16:42:49
Matrix Models of 2D Gravity and Isomonodromic Deformationandles with a weight defined by the Einstein-Hilbert action . is the cosmological constant and . is Newton’s constant, or, equivalently, the string coupling) together with the partition function of some 2D quantum field theory, .(..). The parameters .. are coordinates on a subspace of the space of 2
小卷发
发表于 2025-3-29 20:27:32
The Strength of Nonperturbative Effects in String Theoryupling constant. This is the case in the exactly soluble matrix models. These effects are in principle much larger than the .(—./... effects typical of the low energy field theory. We argue that this behavior should be generic in string theory because string perturbation theory generically behaves l
大看台
发表于 2025-3-30 02:06:35
Approximating the Critical String Measure Using Dynamically Triangulated Surfaces formulation), reveals an interesting thermodynamical limit. In this limit certain singularities (i.e. critical exponents) appear, signalling a phase transition beyond which one may hope for a non-perturbative description of the theory.
antenna
发表于 2025-3-30 07:58:27
Matrix Models, String Field Theory and Topologyons of simple string models (more properly: resummation of the perturbation series around simple solutions of the classical string equations of motion). These models all have one and two dimensional target spaces, a fact directly connected to their solubility. Indeed, it is easy to show that all of