Gauge dependence in higher derivative quantum gravity and the conformal anomaly problem

We develop a self-consistent Spin (4, 4)-invariant model of the unification of gravity with weak SU(2) gauge and Higgs fields in the visible and invisible sectors of our universe. We consider a general case of the graviweak unification, including the higher-derivative super-renormalizable theory of gravity, which is a unitary, asymptotically-free and perturbatively consistent theory of the quantum gravity.

Download Full-text

Inflationary universe from higher-derivative quantum gravity

Physical Review D ◽

10.1103/physrevd.91.083529 ◽

2015 ◽

Vol 91 (8) ◽

Cited By ~ 40

Author(s):

R. Myrzakulov ◽

S. D. Odintsov ◽

L. Sebastiani

Keyword(s):

Quantum Gravity ◽

Inflationary Universe ◽

Higher Derivative

Download Full-text

Renormalization and unitarity in higher derivative and nonlocal gravity theories

Modern Physics Letters A ◽

10.1142/s0217732315400052 ◽

2015 ◽

Vol 30 (03n04) ◽

pp. 1540005 ◽

Cited By ~ 58

Author(s):

E. T. Tomboulis

Keyword(s):

Quantum Gravity ◽

Fixed Points ◽

Fourth Order ◽

Entire Functions ◽

Gravitational Action ◽

Asymptotic Safety ◽

Higher Derivative ◽

Fixed Order ◽

Gravity Theories

We review and discuss higher derivative and nonlocal theories of quantum gravity focusing on their UV and unitarity properties. We first consider the general fourth-order gravitational action, then actions containing derivatives up to any given fixed order, and discuss their UV divergences, fixed points and concomitant unitarity issues. This leads to a more general discussion of "asymptotic safety" and unitarity, which motivates the introduction of nonlocal theories containing derivatives to all orders arising from the expansion of entire functions. For such theories good UV behavior is visible at any finite truncation, but unitarity emerges only when derivatives to all orders are included.

Download Full-text

HIGHER DERIVATIVE QUANTUM GRAVITY WITH TORSION IN THE CONFORMALLY SELF-DUAL LIMIT

International Journal of Modern Physics D ◽

10.1142/s0218271893000040 ◽

1993 ◽

Vol 02 (01) ◽

pp. 51-58 ◽

Cited By ~ 4

Author(s):

E. ELIZALDE ◽

S.D. ODINTSOV

Keyword(s):

Quantum Gravity ◽

Path Integral ◽

Scaling Law ◽

Two Dimensional ◽

Fixed Volume ◽

Higher Derivative

The path integral for higher-derivative quantum gravity with torsion is considered. Applying the methods of two-dimensional quantum gravity, this path integral is analyzed in the limit of conformally self-dual metrics. A scaling law for fixed-volume geometry is obtained.

Download Full-text

ON THE CONFORMAL ANOMALY FROM HIGHER DERIVATIVE GRAVITY IN AdS/CFT CORRESPONDENCE

International Journal of Modern Physics A ◽

10.1142/s0217751x00000197 ◽

2000 ◽

Vol 15 (03) ◽

pp. 413-428 ◽

Cited By ~ 115

Author(s):

SHIN'ICHI NOJIRI ◽

SERGEI D. ODINTSOV

Keyword(s):

Effective Action ◽

Einstein Gravity ◽

Low Energy ◽

Field Theories ◽

Conformal Anomaly ◽

Two Dimensional ◽

Conformal Field Theories ◽

Yang Mills ◽

Conformal Field ◽

Higher Derivative

We follow Witten's proposal1 in the calculation of conformal anomaly from (d + 1)-dimensional higher derivative gravity via AdS/CFT correspondence. It is assumed that some d-dimensional conformal field theories have a description in terms of above (d + 1)-dimensional higher derivative gravity which includes not only the Einstein term and cosmological constant but also curvature squared terms. The explicit expression for two-dimensional and four-dimensional anomalies is found, it contains higher derivative corrections. In particular, it is shown that not only Einstein gravity but also theory with the Lagrangian L =aR2 + bRμνRμν + Λ (even when a=0 or b=0) is five-dimensional bulk theory for [Formula: see text] super-Yang–Mills theory in AdS/CFT correspondence. Similarly, the d + 1 = 3 theory with (or without) Einstein term may describe d = 2 scalar or spinor CFT's. That gives new versions of bulk side which may be useful in different aspects. As application of our general formalism we find next-to-leading corrections to the conformal anomaly of [Formula: see text] supersymmetric theory from d = 5 AdS higher derivative gravity (low energy string effective action).

Download Full-text