Gravitational stability and renormalization-group flow

Gravitational Stability and Renormalization-Group Flow

First-order ‘Bogomol’nyi’ equations are found for dilaton domain walls of D-dimensional gravity with the general dilaton potential admitting a stable anti-de Sitter vacuum. Implications for renormalization group flow in the holographically dual field theory are discussed. e-mail address:[email protected] e-mail address: [email protected]

Gravitational Dressing of Renormalization Group

We study the gravitational dressing of renormalizable two-dimensional field theories. Our main result is that the one-loop β-function is finitely renormalized by the factor k+2 k+1 , where k is the central charge of the gravitational SL(2, R) current algebra.

Proper time regulator and Renormalization Group flow

We consider some applications of the Renormalization Group flow equations obtained by resorting to a specific class of proper time regulators. Within this class a particular limit that corresponds to a sharpening of the effective width of the regulator is investigated and a procedure to analytically implement this limit on the flow equations is shown. We focus on the critical exponents determin...

Cosmological Models and Renormalization Group Flow

We study cosmological solutions of Einstein gravity with a positive cosmological constant and perfect fluid matter in diverse dimensions. These include big-bang models that re-collaspse, big-bang models that approach de Sitter acceleration at late times, and bounce models that are both past and future asymptotically de Sitter. The re-collapsing and the bounce geometries are all tall in the sens...

Renormalization Group Renormalization Group