scholarly journals Gauge Dependence of Counter-Terms and Renormalizability Problem in Quantum Gravity

1992 ◽  
Vol 110 ◽  
pp. 159-178 ◽  
Author(s):  
Shoichi Ichinose
Keyword(s):  
Quantum Gravity ◽  
Gauge Dependence

PERTURBATIVE ANALYSIS OF TWO-DIMENSIONAL QUANTUM GRAVITY: RENORMALIZATION, GAUGE DEPENDENCE AND FINITENESS

1992 ◽  
Vol 01 (03n04) ◽  
pp. 571-590 ◽  
Author(s):  
S.D. ODINTSOV ◽  
I.L. SHAPIRO
Keyword(s):  
Quantum Gravity ◽  
General Type ◽  
Group Analysis ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Liouville Type ◽  
Renormalization Group Analysis ◽  
Gauge Dependence ◽  
Covariant Gauge ◽  
The One

We develop the perturbative analysis of two-dimensional quantum gravity with local action. The general renormalization structure of the theory is discussed. The one-loop divergences of the effective action in the covariant gauge of the general type are found. The technique for the calculation of the one-loop divergences for nonminimal operators in two dimensions is presented. The gauge dependence of the counterterms is discussed. It is also presumed that there are no one-loop divergences in some particular covariant gauge (finiteness.) The renormalization group analysis is given. The addition of the cosmological constant and Liouville type term is considered.

Topology knots and hierarchy problem

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Theory ◽  
String Theory ◽  
Quantum Gravity ◽  
Dimensional Space ◽  
Space Time ◽  
Elementary Particles ◽  
Hierarchy Problem ◽  
Topological Quantum ◽  
Dimensional Space Time ◽  
New Formula

Many approaches to quantum gravity consider the revision of the space-time geometry and the structure of elementary particles. One of the main candidates is string theory. It is possible that this theory will be able to describe the problem of hierarchy, provided that there is an appropriate Calabi-Yau geometry. In this paper we will proceed from the traditional view on the structure of elementary particles in the usual four-dimensional space-time. The only condition is that quarks and leptons should have a common emerging structure. When a new formula for the mass of the hierarchy is obtained, this structure arises from topological quantum theory and a suitable choice of dimensional units.

Braking effect in quantum gravity

2020 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Gravity

Braking effect in quantum gravity

scholarly journals Review on hermiticity of the volume operators in Loop Quantum Gravity

2019 ◽  
Vol 51 (5) ◽  
Author(s):  
S. Ariwahjoedi ◽  
I. Husin ◽  
I. Sebastian ◽  
F. P. Zen
Keyword(s):  
Quantum Gravity ◽  
Loop Quantum Gravity

scholarly journals A strong astrophysical constraint on the violation of special relativity by quantum gravity

Nature ◽  
2003 ◽  
Vol 424 (6952) ◽  
pp. 1019-1021 ◽  
Author(s):  
T. Jacobson ◽  
S. Liberati ◽  
D. Mattingly
Keyword(s):  
Quantum Gravity ◽  
Special Relativity

scholarly journals Gauge invariance, polar coordinates and inflation

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Ali Akil ◽  
Xi Tong
Keyword(s):  
Coordinate System ◽  
Effective Potential ◽  
Gauge Invariance ◽  
Polar Coordinates ◽  
Quantum Corrections ◽  
Background Current ◽  
Gauge Invariant ◽  
Gauge Dependence ◽  
Current Term ◽  
Invariant Current

Abstract We point out the necessity of resolving the apparent gauge dependence in the quantum corrections of cosmological observables for Higgs-like inflation models. We highlight the fact that this gauge dependence is due to the use of an asymmetric background current which is specific to a choice of coordinate system in the scalar manifold. Favoring simplicity over complexity, we further propose a practical shortcut to gauge-independent inflationary observables by using effective potential obtained from a polar-like background current choice. We demonstrate this shortcut for several explicit examples and present a gauge-independent prediction of inflationary observables in the Abelian Higgs model. Furthermore, with Nielsen’s gauge dependence identities, we show that for any theory to all orders, a gauge-invariant current term gives a gauge-independent effective potential and thus gauge-invariant inflationary observables.

scholarly journals MEASUREMENTS AND INFORMATION IN SPIN FOAM MODELS

2012 ◽  
Vol 27 (28) ◽  
pp. 1250164
Author(s):  
J. MANUEL GARCÍA-ISLAS
Keyword(s):  
Information Theory ◽  
Quantum Gravity ◽  
Cosmological Constant ◽  
Shannon Entropy ◽  
Three Dimensional ◽  
Spin Network ◽  
Spin Foam Models ◽  
Foam Model ◽  
Spin Foam Model ◽  
Spin Foam

In the three-dimensional spin foam model of quantum gravity with a cosmological constant, there exists a set of observables associated with spin network graphs. A set of probabilities is calculated from these observables, and hence the associated Shannon entropy can be defined. We present the Shannon entropy associated with these observables and find some interesting bounded inequalities. The problem relates measurements, entropy and information theory in a simple way which we explain.

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