Higher-dérivâtive Quantum Gravity

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.

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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

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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.

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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.

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