Thermodynamic properties, phases and classical vacua of two-dimensional \(R^2\) gravity

DOI10.1142/S0217751X96001656zbMATH Open0985.81733arXivhep-th/9508060MaRDI QIDQ2775536

Shoichi Ichinose

Publication date: 26 February 2002

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Abstract: Two dimensional quantum R$2^{}$-gravity is formulated in the semiclassical method. The thermodynamic properties,such as the equation of state, the temperature and the entropy, are explained. The topology constraint and the area constraint are properly taken into account. A total derivative term and an infrared regularization play important roles. The classical solutions (vacua) of R$2^{}$-Liouville equation are obtained by making use of the well-known solution of the ordinary Liouville equation. The positive and negative constant curvature solutions are 'dual' each other. Each solution has two branches($pm$). We characterize all phases. The topology of a sphere is mainly considered.

Full work available at URL: https://arxiv.org/abs/hep-th/9508060

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40)

Related Items (1)

Dynamical couplings, dynamical vacuum energy and confinement/deconfinement from \(R^2\)-gravity

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