English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Two dimensional quantum R$^2$-gravity is formulated in the semiclassicalmethod. The thermodynamic properties,such as the equation of state, thetemperature and the entropy, are explained. The topology constraint and thearea constraint are properly taken into account. A total derivative term and aninfrared regularization play important roles. The classical solutions (vacua)of R$^2$-Liouville equation are obtained by making use of the well-knownsolution of the ordinary Liouville equation. The positive and negative constantcurvature solutions are 'dual' each other. Each solution has twobranches($\pm$). We characterize all phases. The topology of a sphere is mainlyconsidered.Comment: 32 pages, Figures are not include

THERMODYNAMIC PROPERTIES, PHASES AND CLASSICAL VACUA OF TWO-DIMENSIONAL R2 GRAVITY

THERMODYNAMIC PROPERTIES, PHASES AND CLASSICAL VACUA OF TWO-DIMENSIONAL R² GRAVITY