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Using a recent classification of local symmetries of the vacuum Einstein equations, it is shown that there can be no observables for the vacuum gravitational field (in a closed universe) built as spatial integrals of local functions of…

General Relativity and Quantum Cosmology · Physics 2010-01-06 C. G. Torre

Gauge invariant local observables describing primordial scalar quantum fluctuations in Inflationary Cosmology are identified as elements of a type $II$ de Sitter crossed product algebra. This algebra is defined, after adding a reference…

High Energy Physics - Theory · Physics 2023-04-25 Cesar Gomez

Treating general relativity as an effective field theory, we compute the leading-order quantum corrections to the orbits and gravitational-wave emission of astrophysical compact binaries. These corrections are independent of the (unknown)…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Alexander C. Jenkins , Andreas G. A. Pithis , Mairi Sakellariadou

We quantize the degrees of freedom on a gravitational null ray segment in a fully gauge-invariant manner by using the dressing time as a quantum reference frame (QRF). Our work goes beyond previous models in that the QRF we employ is made…

High Energy Physics - Theory · Physics 2026-04-28 Laurent Freidel , Josh Kirklin

The Hamiltonian formulation of lattice gauge theories plays a central role in quantum simulations of gauge theories, and understanding their spectrum and other properties is expected to become crucial in the upcoming years. The relevant…

High Energy Physics - Lattice · Physics 2026-04-20 Thea Budde , Marina Kristć Marinković , Joao C. Pinto Barros

Several recent papers discuss gravitational corrections to gauge couplings that depend quadratically on the energy. In the framework of the background-field approach, these correspond in general to adding to the effective action terms…

High Energy Physics - Theory · Physics 2015-05-20 John Ellis , Nick E. Mavromatos

Space-time measurements and gravitational experiments are made by using objects, matter fields or particles and their mutual relationships. As a consequence, any operationally meaningful assertion about space-time is in fact an assertion…

High Energy Physics - Theory · Physics 2010-02-25 Federico Piazza

We analyze how to parametrize general modifications of the dark matter perturbations equations in a model-independent way. We prove that a general model with an imperfect and non-conserved dark matter fluid with bulk and shear viscosities…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-17 Miguel Aparicio Resco , Antonio L. Maroto

To avoid the problems which are connected with the long distance behavior of perturbative gauge theories we present a local construction of the observables which does not involve the adiabatic limit. First we construct the interacting…

High Energy Physics - Theory · Physics 2010-12-13 M. Duetsch , K. Fredenhagen

We construct gauge invariant operators in non-commutative gauge theories which in the IR reduce to the usual operators of ordinary field theories (e.g. F^2). We show that in the deep UV the two-point functions of these operators admit a…

High Energy Physics - Theory · Physics 2007-05-23 David J. Gross , Akikazu Hashimoto , N. Itzhaki

In this paper, we present the cosmological perturbation formalism for theories within the framework of affine gravity. These theories are distinguished by their connection, devoid of any metric. Our approach involves segregating…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Oscar Castillo-Felisola , Radouane Gannouji , Manuel Morocho-López , Marcelo Rozas-Rojas

We establish exactly solvable models for the motion of neutral particles, electrically charged point and spin particles (U(1) symmetry), isospin particles (SU(2) symmetry), and particles with color charges (SU(3) symmetry) in a…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Alexander B. Balakin , Veronika R. Kurbanova , Winfried Zimdahl

We study exclusive scattering of `hadrons' at high energy and fixed angle in (nonconformal) noncommutative gauge theories. Via gauge-string duality, we show that the noncommutativity renders the scattering soft, leading to exponential…

High Energy Physics - Theory · Physics 2010-04-05 Soo-Jong Rey , Jung-Tay Yee

Graphity models are characterized by configuration spaces in which states correspond to graphs and Hamiltonians that depend on local properties of graphs such as the degrees of vertices and numbers of short cycles. As statistical systems,…

High Energy Physics - Theory · Physics 2008-11-26 Tomasz Konopka

We review and relate two recent complementary constructions of linear local gauge-invariant observables for cosmological perturbations in generic spatially flat single-field inflationary cosmologies. After briefly discussing their physical…

General Relativity and Quantum Cosmology · Physics 2019-09-20 Markus B. Fröb , Thomas-Paul Hack , Igor Khavkine

Quantum theories of gravity are generally expected to have some degree of non-locality, with familiar local physics emerging only in a particular limit. Perturbative quantum gravity around backgrounds with isometries and compact Cauchy…

High Energy Physics - Theory · Physics 2026-02-23 Molly Kaplan , Donald Marolf , Xuyang Yu , Ying Zhao

In this work the worldline quantum field theory (WQFT) approach to computing observables of the classical general relativistic two-body system is presented. Compact bodies such as black holes or neutron stars are described in an effective…

High Energy Physics - Theory · Physics 2023-08-09 Gustav Uhre Jakobsen

Quantum gauge theory in the connection representation uses functions of holonomies as configuration observables. Physical observables (gauge and diffeomorphism invariant) are represented in the Hilbert space of physical states; physical…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Jose A. Zapata

We derive for generally covariant theories the generic dependency of observables on the original fields, corresponding to coordinate-dependent gauge fixings. This gauge choice is equivalent to a choice of intrinsically defined coordinates…

General Relativity and Quantum Cosmology · Physics 2009-10-29 J. M. Pons , D. C. Salisbury , K. A. Sundermeyer

We study random composite structures considered up to symmetry that are sampled according to weights on the inner and outer structures. This model may be viewed as an unlabelled version of Gibbs partitions and encompasses multisets of…

Combinatorics · Mathematics 2020-04-01 Benedikt Stufler