Wave functions of induced 2D gravity
نویسندگان
چکیده
منابع مشابه
WKB Wave Functions with the Induced Gravity Theory
The Wheeler-DeWitt equation for the induced gravity theory is constructed in the minisuperspace approximation, and then solved using the WKB method under three types of boundary condition proposed respectively by Hartle & Hawking (“no boundary”), Linde and Vilenkin (“tunneling from nothing”). It is found that no matter how the gravitational and cosmological “constants” vary in the classical mod...
متن کاملSpontaneous compactification in 2D induced quantum gravity
Spontaneous compactification —on a R × S background— in 2D induced quantum gravity (considered as a toy model for more fundamental quantum gravity) is analyzed in the gauge-independent effective action formalism. It is shown that such compactification is stable, in contradistinction to multidimensional quantum gravity on a R×S (D > 2) background —which is known to be one-loop unstable. On leave...
متن کاملCanonical approach to 2D induced gravity
Using canonical method the Liouville theory has been obtained as a gravitational Wess-Zumino action of the Polyakov string. From this approach it is clear that the form of the Liouville action is the consequence of the bosonic representation of the Virasoro algebra, and that the coefficient in front of the action is proportional to the central charge and measures the quantum braking of the clas...
متن کاملExtensions of 2d Gravity * †
Conformally invariant theories in two dimensions play an important role in the study of string theories, second order phase transitions and integrable systems. The Virasoro algebra and its extensions form the cornerstone of conformal field theories. More recently a lot of attention was devoted to the study of a particular class of conformal field theories: gravity in two dimensions. As I will s...
متن کاملOn the Reduced Canonical Quantization of the Induced 2d-gravity
The quantization of the induced 2d-gravity on a compact spatial section is carried out in three different ways. In the three approaches the supermomentum constraint is solved at the classical level but they differ in the way the hamiltonian constraint is imposed. We compare these approaches establishing an isomorphism between the resulting Hilbert spaces. † Work partially supported by the C.I.C...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1993
ISSN: 0370-2693
DOI: 10.1016/0370-2693(93)90131-z