One-loop renormalization of higher-derivative 2D dilaton gravity
نویسنده
چکیده
A theory of higher-derivative 2D dilaton gravity which has its roots in the massive higherspin mode dynamics of string theory is suggested. The divergences of the effective action to one-loop are calculated, both in the covariant and in the conformal gauge. Some technical problems which appear in the calculations are discussed. An interpretation of the theory as a particular D=2 higher-derivative σ-model is given. For a specific case of higher-derivative 2D dilaton gravity, which is one loop multiplicatively renormalizable, static configurations corresponding to black holes are shown to exist. E-mail: eli @ ebubecm1.bitnet 2 Also at Tomsk Pedagogical Institute, 634041 Tomsk, Russian Federation. E-mail: odintsov @ ebubecm1.bitnet
منابع مشابه
One loop renormalization of the 4-D Quantum Dilaton Gravity in Spherically symmetric background
We study the one loop renormalization in the most general metric-dilaton theory with second derivative only. In constant background dilaton theory, there are two types of gravity background which enable the theory renormalizable at one-loop level. We show this concretely to discuss on the spherical symmetric background. E-MAIL: [email protected] E-MAIL: [email protected]....
متن کاملCovariant effective action and one-loop renormalization of 2D dilaton gravity with fermionic matter
Two dimensional dilaton gravity interacting with a four-fermion model and scalars is investigated, all the coefficients of the Lagrangian being arbitrary functions of the dilaton field. The one-loop covariant effective action for 2D dilaton gravity with Majorana spinors (including the four-fermion interaction) is obtained, and the technical problems which appear in an attempt at generalizing su...
متن کاملOne-loop renormalization of the four-dimensional theory for quantum dilaton gravity.
We study the one loop renormalization in the most general metric-dilaton theory with the second derivative terms only. Classical action includes three arbitrary functions of dilaton. The general theory can be divided into two classes, models of one are equivalent to conformally coupled with gravity scalar field and also to general relativity with cosmological term. The models of second class ha...
متن کاملOne-loop counterterms in 2d dilaton-Maxwell quantum gravity
The renormalization structure of two-dimensional quantum gravity is investigated, in a covariant gauge. One-loop divergences of the effective action are calculated. All the surface divergent terms are taken into account, thus completing previous one-loop calculations of the theory. It is shown that the on-shell effective action contains only surface divergences. The off-shell renormalizability ...
متن کامل2D dilaton-Maxwell gravity as a fixed point of the renormalization group
A general model of dialton-Maxwell gravity in two dimensions is investigated. The corresponding one-loop effective action and the generalized β-functions are obtained. A set of models that are fixed points of the renormalization group equations are presented. E-mail address: eli @ ebubecm1.bitnet 2 E-mail address: odintsov @ theo.phys.sci.hiroshima-u.ac.jp
متن کامل