Spontaneous compactification in 2D induced quantum gravity

Abstract

Spontaneous compactification ---on a $R^1\times S^1$ 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 $R^D\times S^1(D>2)$ background ---which is known to be one-loop unstable.

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Cited by in corpus (2)

• One-Loop Renormalization in Two-Dimensional Matter-Dilaton Quantum Gravity and Charged Black Holes
• Convenient Versus Unique Effective Action Formalism in 2D Dilaton-Maxwell Quantum Gravity