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By making use of the background field method, the one-loop quantization for Euclidean Einstein-Weyl quadratic gravity model on the de Sitter universe is investigated. Using generalized zeta function regularization, the on-shell and…

General Relativity and Quantum Cosmology · Physics 2013-01-29 E. Elizalde , G. Cognola , S. Zerbini

The role of the measurement process in resolving the gauge ambiguity of the effective gravitational potential is reexamined. The motion of a classical point-like particle in the field of an arbitrary linear source, and in the field of…

High Energy Physics - Theory · Physics 2009-11-10 Taras S. Gribouk , Kirill A. Kazakov , Petr I. Pronin

The gravitational interaction, as described by the Einstein-Cartan theory, is shown to emerge as the by-product of the spontaneous symmetry breaking of a gauge symmetry in a pre-geometric four-dimensional spacetime. Starting from a…

High Energy Physics - Theory · Physics 2025-01-15 Andrea Addazi , Salvatore Capozziello , Antonino Marciano , Giuseppe Meluccio

Einstein's General Relativity (GR) is a dynamical theory of the spacetime metric. We describe an approach in which GR becomes an SU(2) gauge theory. We start at the linearised level and show how a gauge theoretic Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Kirill Krasnov

The gauge-dependence of the one loop Coleman-Weinberg effective potential in scalar electrodynamics is resolved using a gauge-free approach not requiring any gauge-fixing of quantum fluctuations of the photon degrees of freedom. This leads…

High Energy Physics - Theory · Physics 2015-06-15 Srijit Bhattacharjee , Parthasarathi Majumdar

I have shown that the field defined by the Wheeler-DeWitt equation for \textit{pure gravity} is neither a standard gravitational field nor the field representing a particular universe. The theory offers a unified description of geometry and…

General Relativity and Quantum Cosmology · Physics 2023-09-28 Avadhut V. Purohit

We deduce, in a general background gauge, the counter-term Lagrangian for pure quantum gravity to one-loop order. As an application, we evaluate the leading quantum correction to the classical gravitational potential, generated by the…

High Energy Physics - Theory · Physics 2022-09-13 F. T. Brandt , J. Frenkel , D. G. C. McKeon

Scale invariant fluctuations of metric are universal feature of quantum gravity in de Sitter spacetime. We construct an effective Lagrangian which summarizes their implications on local physics by integrating super-horizon metric…

High Energy Physics - Theory · Physics 2017-02-01 Hiroyuki Kitamoto , Yoshihisa Kitazawa

We construct the on-shell amplitude basis and the corresponding effective operators for generic modified gravity theory, such as pure gravity with higher derivatives, scalar-tensor gravity, Einstein-Yang-Mills, etc. Taking the Weyl tensor…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Hao-Lin Li , Zhe Ren , Ming-Lei Xiao , Jiang-Hao Yu , Yu-Hui Zheng

More than twenty years have passed since the threads of the `proper time formalism' in covariant classical and quantum mechanics were brought together to construct a canonical formalism for the relativistic mechanics of many particles.…

High Energy Physics - Theory · Physics 2016-09-06 M. C. Land , L. P. Horwitz

The generating functionals of Green's functions with composite and external fields are considered in the framework of BV and BLT quantization methods for general gauge theories. The corresponding Ward identities are derived and the gauge…

High Energy Physics - Theory · Physics 2009-10-30 S. Falkenberg , B. Geyer , P. Moshin

The history of general relativity suggests that in absence of experimental data, constructing a theory on philosophical first principles can lead to a very useful theory as well as to ground-breaking insights about physical reality. The two…

General Relativity and Quantum Cosmology · Physics 2012-07-03 Manuel Bärenz

We present the Hamiltonian formulation of a relativistic point-particle coupled to Einstein gravity and its canonical quantization \`a la Wheeler-DeWitt. In the resulting quantum theory, the wave functional is a function of the particle…

General Relativity and Quantum Cosmology · Physics 2021-03-15 Ward Struyve

We study the exact renormalization group (RG) in $R^2$-gravity in the effective average action formalism using the background field method. The truncated evolution equation (where truncation is made to low-derivatives functionals space) for…

General Relativity and Quantum Cosmology · Physics 2016-08-31 L. N. Granda , S. D. Odintsov

We consider the large-$D$ limit of Einstein gravity. It is observed that a consistent leading large-$D$ graph limit exists, and that it is built up by a subclass of planar diagrams. The graphs in the effective field theory extension of…

High Energy Physics - Theory · Physics 2010-04-05 N. E. J. Bjerrum-Bohr

A model of matter-coupled gravity in two dimensions is quantized. The crucial requirement for performing the quantization is the vanishing of the conformal anomaly, which is achieved by tuning a parameter in the interaction potential. The…

High Energy Physics - Theory · Physics 2009-11-07 M. Cadoni , P. Carta , S. Mignemi

We construct the one-loop effective action in Yang-Mills and Pure Quantum Gravity theories with heat kernel(or proper time method), which maintains manifest covariance during and after quantization (gauge and diffeomorphism invariance are…

High Energy Physics - Theory · Physics 2007-05-23 Kanokkuan Chaicherdsakul

We show that gravity and matter fields are generically entangled, as a consequence of the local Poincar\'e symmetry. First, we present a general argument, applicable to any particular theory of quantum gravity with matter, by performing the…

General Relativity and Quantum Cosmology · Physics 2018-08-31 Nikola Paunkovic , Marko Vojinovic

We obtain an Einstein metric of constant negative curvature given an arbitrary boundary metric in three dimensions, and a conformally flat one given an arbitrary conformally flat boundary metric in other dimensions. In order to compute the…

High Energy Physics - Theory · Physics 2008-11-26 Kostas Skenderis , Sergey N. Solodukhin

We consider systems of two free particles in de Sitter invariant quantum theory and calculate the mean value of the mass operator for such systems. It is shown that, in addition to the well known relativistic contribution (and de Sitter…

High Energy Physics - Theory · Physics 2007-05-23 Felix Lev