Infinite dimensional Grassmannian structure of two-dimensional quantum gravity

infinite dimensional garch models

مدلهای گارچ در فضاهای هیلبرت پایان نامه حاضر شامل دو بخش می باشد. در قسمت اول مدلهای اتورگرسیو تعمیم یافته مشروط به ناهمگنی واریانس در فضاهای هیلبرت را معرفی، مفاهیم ریاضی مورد نیاز در تحلیل این مدلها در دامنه زمان را مطرح کرده و آنها را مورد بررسی قرار می دهیم. بر اساس پیشرفتهایی که اخیرا در زمینه تئوری داده های تابعی و آماره های عملگری ایجاد شده است، فرآیندهایی که دارای مقادیر در فضاهای ...

Two-Dimensional Quantum Gravity

We show equivalence between the standard weak coupling regime c > 25 of the the two-dimensional quantum gravity and regime h < 1/2 of the original geometric approach of Polyakov [1, 2], developed in [3, 4, 5]. 1 In this letter I shall demonstrate the equivalence of two approaches to the twodimensional quantum gravity. The first approach, called geometric, goes back to Polyakov’s original discov...

Two-Dimensional Quantum Gravity with Boundary

Using the recently found first order formulation of two-dimensional dilaton gravity with boundary, we perform a Hamiltonian analysis and subsequent path integral quantization. The importance of the boundary terms to obtain the correct quantum result are outlined and the quantum triviality of the theory is shown to hold with this modification as well. We compare with recent classical results and...

Two-Dimensional Quantum Gravity in Temporal Gauge

We propose a new type of gauge in two-dimensional quantum gravity. We investigate pure gravity in this gauge, and find that the system reduces to quantum mechanics of loop length l. Furthermore, we rederive the c=0 string field theory which was discovered recently. In particular, the pregeometric form of the Hamiltonian is naturally reproduced. To be published in Nuclear Physics B ∗ e-mail addr...

Non-Perturbative Two-Dimensional Quantum Gravity, Again