Gauge invariance and unitarity in higher-derivative quantum gravity

1986 ◽  
Vol 33 (10) ◽  
pp. 2756-2779 ◽  
Author(s):  
I. Antoniadis ◽  
E. T. Tomboulis
Keyword(s):  
Quantum Gravity ◽  
Gauge Invariance ◽  
Higher Derivative

scholarly journals Standard model and graviweak unification with (super)renormalizable gravity. Part I: Visible and invisible sectors of the universe

2015 ◽  
Vol 30 (09) ◽  
pp. 1550044 ◽  
Author(s):  
L. V. Laperashvili ◽  
H. B. Nielsen ◽  
A. Tureanu
Keyword(s):  
Standard Model ◽  
Quantum Gravity ◽  
Consistent Theory ◽  
Invariant Model ◽  
Higher Derivative ◽  
Self Consistent ◽  
Renormalizable Theory ◽  
Theory Of Gravity ◽  
Higgs Fields ◽  
The Universe

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.

scholarly journals Inflationary universe from higher-derivative quantum gravity

2015 ◽  
Vol 91 (8) ◽  
Author(s):  
R. Myrzakulov ◽  
S. D. Odintsov ◽  
L. Sebastiani
Keyword(s):  
Quantum Gravity ◽  
Inflationary Universe ◽  
Higher Derivative

Renormalization and unitarity in higher derivative and nonlocal gravity theories

2015 ◽  
Vol 30 (03n04) ◽  
pp. 1540005 ◽  
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.

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

1993 ◽  
Vol 02 (01) ◽  
pp. 51-58 ◽  
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.

scholarly journals Duality and gauge invariance of non-commutative spacetime Podolsky electromagnetic theory

2017 ◽  
Vol 32 (03) ◽  
pp. 1750019 ◽  
Author(s):  
Everton M. C. Abreu ◽  
Rafael L. Fernandes ◽  
Albert C. R. Mendes ◽  
Jorge Ananias Neto ◽  
Mario Jr. Neves
Keyword(s):  
Gauge Transformation ◽  
Gauge Invariance ◽  
Electromagnetic Theory ◽  
Physical Models ◽  
Field Theories ◽  
Invariance Property ◽  
Gauge Invariant ◽  
Invariant Action ◽  
Original Action ◽  
Higher Derivative

The interest in higher derivative field theories has its origin mainly in their influence concerning the renormalization properties of physical models and to remove ultraviolet divergences. In this paper, we have introduced the non-commutative (NC) version of the Podolsky theory and we investigated the effect of the non-commutativity over its original gauge invariance property. We have demonstrated precisely that the non-commutativity spoiled the primary gauge invariance of the original action under this primary gauge transformation. After that we have used the Noether dualization technique to obtain a dual and gauge invariant action. We have demonstrated that through the introduction of a Stueckelberg field in this NC model, we can also recover the primary gauge invariance. In this way, we have accomplished a comparison between both methods.

Axion instanton for higher-derivative quantum gravity

1989 ◽  
Vol 233 (1-2) ◽  
pp. 85-88 ◽  
Author(s):  
P.F. González-Díaz
Keyword(s):  
Quantum Gravity ◽  
Higher Derivative
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