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Representations of propagators by means of path integrals over velocities are discussed both in nonrelativistic and relativistic quantum mechanics. It is shown that all the propagators can only be expressed through bosonic path integrals…

High Energy Physics - Theory · Physics 2007-05-23 D. M. Gitman , Sh. M. Shvartsman

We derive an effective gravitational potential, induced by the quantum wavefunction of a physical vacuum of a self-gravitating configuration, while the vacuum itself is viewed as the superfluid described by the logarithmic quantum wave…

General Relativity and Quantum Cosmology · Physics 2020-12-01 Konstantin G. Zloshchastiev

We describe a theory of quantum gravity which is based on the assumption that the spacetime structure at small distances is given by a piecewise linear (PL) 4-manifold corresponding to a triangulation of a smooth 4-manifold. The fundamental…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Aleksandar Mikovic , Marko Vojinovic

We discuss quadratic gravity where terms quadratic in the curvature tensor are included in the action. After reviewing the corresponding field equations, we analyze in detail the physical propagating modes in some specific backgrounds.…

High Energy Physics - Theory · Physics 2016-12-21 Luis Alvarez-Gaume , Alex Kehagias , Costas Kounnas , Dieter Lust , Antonio Riotto

This dissertation examines the impact of quantum gravity on electromagnetism and its backreaction, using perturbative general relativity as an effective field theory. Our analysis involves quantum-correcting Maxwell's equations to obtain a…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Sanjib Katuwal

An effective field theory for matter coupled to three-dimensional quantum gravity was recently derived in the context of spinfoam models in hep-th/0512113. In this paper, we show how this relates to group field theories and generalized…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Winston Fairbairn , Etera R. Livine

We investigate the gravitational scattering of a spinning probe mass in a Kerr background using the worldline quantum field theory (WQFT) approach. This corresponds to the leading term (0SF) in the gravitational self-force expansion for the…

High Energy Physics - Theory · Physics 2025-07-14 Jitze Hoogeveen , Gustav Uhre Jakobsen , Jan Plefka

Starting with the well-known Nambu-Goto action for an N-extended body system the propagator in the microcanonical ensemble is explicitly computed. This propagator is independent of the temperature and, in contrast with the previous…

High Energy Physics - Theory · Physics 2008-11-26 Diego. J. Cirilo-Lombardo

Motivated by quantum gravity on spacetimes with multi-scale geometry, we analyze quantum field theories with a self-adjoint fractional power $(\Box^2)^{\gamma/2}$ of the d'Alem\-bert\-ian in the kinetic term, for any real $\gamma>0$.…

High Energy Physics - Theory · Physics 2026-03-27 Gianluca Calcagni , Fabio Briscese

A quantum mechanical description of particle propagation on the discrete spacetime of a causal set is presented. The model involves a discrete path integral in which trajectories within the causal set are summed over to obtain a particle…

High Energy Physics - Theory · Physics 2008-11-26 Steven Johnston

The propagator of a scalar field on a stationary slowly varying in space gravitational background is derived retaining only the second derivatives of the metric. The corresponding one-loop effective action is constructed. The propagator and…

General Relativity and Quantum Cosmology · Physics 2013-03-13 P. O. Kazinski

Various approaches to high energy forward scattering in quantum gravity are compared using the eikonal approximation. The massless limit of the eikonal is shown to be equivalent to other approximations for the same process, specifically the…

High Energy Physics - Theory · Physics 2008-11-26 Dan Kabat , Miguel Ortiz

We discuss a variation of quadratic gravity in which the gravitational interaction remains weakly coupled at all energies, but is assisted by a Yang-Mills gauge theory which becomes strong at the Planck scale. The Yang-Mills interaction is…

High Energy Physics - Theory · Physics 2018-06-20 John F. Donoghue , Gabriel Menezes

The paper gives an introduction to the gravitational radiation theory of isolated sources and to the propagation properties of light rays in radiative gravitational fields. It presents a theoretical study of the generation, propagation,…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Luc Blanchet , Sergei Kopeikin , Gerhard Schäfer

Dependence on the graviton gauge enters the conventional effective field equations because they fail to account for quantum gravitational correlations with the source which excites the effective field and with the observer who measures it.…

High Energy Physics - Theory · Physics 2024-07-30 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

The propagation of neutrinos in a gravitational field is studied by developing a method of calculating a covariant quantum-mechanical phase in a curved space-time. The result is applied to neutrino propagation in the Schwarzschild metric.

High Energy Physics - Phenomenology · Physics 2015-06-25 N. Fornengo , C. Giunti , C. W. Kim , J. Song

We derive rigorous bounds on corrections to Einstein gravity using unitarity and analyticity of graviton scattering amplitudes. In $D\geq 4$ spacetime dimensions, these consistency conditions mandate positive coefficients for certain…

High Energy Physics - Theory · Physics 2016-04-06 Brando Bellazzini , Clifford Cheung , Grant N. Remmen

The notions of minimum geometrical length and minimum length scale are discussed with reference to correlation functions obtained from in-in and in-out amplitudes in quantum field theory. Whereas the in-in propagator for metric…

High Energy Physics - Theory · Physics 2023-02-15 Roberto Casadio , Wenbin Feng , Ibere Kuntz , Fabio Scardigli

Superstring field theory gives expressions for heterotic and type II string loop amplitudes that are free from ultraviolet and infrared divergences when the number of non-compact space-time dimensions is five or more. We prove the…

High Energy Physics - Theory · Physics 2018-01-17 Ashoke Sen

We study the gravitational self-force using the effective field theory formalism. We show that in the ultra-relativistic limit \gamma \to \infty, with \gamma the boost factor, many simplifications arise. Drawing parallels with the large N…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Chad R. Galley , Rafael A. Porto
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