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Suggestions concerning the generalization of the geometric quantization to the case of nonlinear field theories are given. Results for the Liouville field theory are presented.

dg-ga · Mathematics 2007-05-23 Wlodzimierz Piechocki

This paper discusses the somewhat unintuitive conjecture that many Lorentz-invariant many-particle models can be reinterpreted to satisfy the gtr field equations. It is shown that a careful remapping of coordinates yields a non-trivial…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Niclas Thisell

Stochastic electrodynamics is a classical theory which assumes that the physical vacuum consists of classical stochastic fields with average energy $\frac{1}{2}\hbar \omega$ in each mode, i.e., the zero-point Planck spectrum. While this…

Quantum Physics · Physics 2017-08-16 Theo M. Nieuwenhuizen , Matthew T. P. Liska

Starting from a new understanding of the vacuum energy problem based on the combination of the phase space regularization and the holographic bound, we argue that quantum gravity should be understood as gravitized quantum theory, that is,…

High Energy Physics - Theory · Physics 2024-07-10 Tristan Hübsch , Djordje Minic

We formulate Lorentz-covariant classical perturbation theory to deal with relativistic bremsstrahlung under gravitational scattering. Our approach is a version of the fast motion approximation scheme, the main novelty being the use of the…

General Relativity and Quantum Cosmology · Physics 2010-12-15 Dmitri V. Gal'tsov , Yuri V. Grats , Alexander A. Matiukhin

Assuming that the mechanism proposed by Gell-Mann and Hartle works as a mechanism for decoherence and classicalization of the metric field, we formally derive the form of an effective theory for the gravitational field in a semiclassical…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Rosario Martin , Enric Verdaguer

We consider a model of Quantum Gravity phenomenology, based on the idea that space-time may have some unknown granular structure that respects the Lorentz symmetry. The proposal involves non-trivial couplings of curvature to matter fields…

General Relativity and Quantum Cosmology · Physics 2008-01-21 Y. Bonder

For the purpose of analyzing observed phenomena, it has been convenient, and thus far sufficient, to regard gravity as subject to the deterministic principles of classical physics, with the gravitational field obeying Newton's law or…

High Energy Physics - Theory · Physics 2021-08-25 Maulik Parikh , Frank Wilczek , George Zahariade

A higher order theory of gravitation is considered which is obtained by modifying Einstein field equations. The Lagrange used to modify this in the form a polynomial in (scalar curvature) R. In this equation we have studied spherical…

General Relativity and Quantum Cosmology · Physics 2009-11-04 S. N. Pandey , B. K. Sinha

The equation of state for radiation is derived in a canonical formulation of the electromagnetic field. This allows one to include correction terms expected from canonical quantum gravity and to infer implications to the universe evolution…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald , Rupam Das

We review the motivations for the search of stochastic backgrounds of gravitational waves and we compare the experimental sensitivities that can be reached in the near future with the existing bounds and with the theoretical predictions.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michele Maggiore

While it is widely believed that gravity should ultimately be treated as a quantum theory, there remains a possibility that general relativity should not be quantized. If this is the case, the coupling of classical gravity to the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. J. Salzman , S. Carlip

We show that the noncritical string field theory developed from two-dimensional quantum gravity in the framework of causal dynamical triangulations can be viewed as arising through a stochastic quantization. This requires that the proper…

High Energy Physics - Theory · Physics 2009-11-05 J. Ambjorn , R. Loll , W. Westra , S. Zohren

The deformation quantization formalism is applied to the linearized gravitational field. Standard aspects of this formalism are worked out before the ground state Wigner functional is obtained. Finally, the propagator for the graviton is…

High Energy Physics - Theory · Physics 2015-05-30 Hugo Garcia-Compean , Francisco J. Turrubiates

The infinite dimensional generalization of the quantum mechanics of extended objects, namely, the quantum field theory of extended objects is employed to address the hitherto nonrenormalizable gravitational interaction following which the…

High Energy Physics - Theory · Physics 2009-09-25 Ramchander R. Sastry

We present a stochastic framework for emergent quantum gravity coupled to matter. The Hamiltonian constraint in diffeomorphism-invariant theories demands the identification of a clock relative to which dynamics may be defined, and other…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Joshua Erlich

This is a series of lectures on Monte Carlo results on the non-perturbative, lattice formulation approach to quantum field theory. Emphasis is put on 4D scalar quantum field theory. I discuss real space renormalization group, fixed point…

High Energy Physics - Lattice · Physics 2007-05-23 C. B. Lang

The present thesis deals with some properties of classical and quantum scalar fields in an inhomogeneous and/or time-dependent background, focusing on models where the latter can be described as a curved space-time with an event horizon.…

General Relativity and Quantum Cosmology · Physics 2017-08-08 Florent Michel

While general relativity possesses local Lorentz invariance, both canonical quantum gravity and string theory suggest that Lorentz invariance may be broken at high energies. Broken Lorentz invariance has also been postulated as an…

General Relativity and Quantum Cosmology · Physics 2017-08-23 David Mattingly , Ted Jacobson

A candidate theory of gravity quantized is reviewed.

General Relativity and Quantum Cosmology · Physics 2008-02-03 S. Bellucci , A. Shiekh