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We give general arguments that any interacting non--conformal {\it classical} field theory in de Sitter space leads to the possibility of constructing a perpetuum mobile. The arguments are based on the observation that massive free falling…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Emil T. Akhmedov , P. V. Buividovich , Douglas A. Singleton

To resolve infrared problems with the de~Sitter invariant vacuum, we argue that the history of the de~Sitter phase is crucial. We illustrate how either (1)~the diagonalization of the Hamiltonian for long-wavelength modes or (2)~an explicit…

General Relativity and Quantum Cosmology · Physics 2008-02-03 A. D. Dolgov , M. B. Einhorn , V. I. Zakharov

The pull-back, push-forward and multiplication of smooth functions can be extended to distributions if their wave front set satisfies some conditions. Thus, it is natural to investigate the topological properties of these operations between…

Functional Analysis · Mathematics 2016-10-12 Christian Brouder , Nguyen Viet Dang , Frédéric Hélein

We consider the theory of a symmetric tensor field in 4D, invariant under a subclass of infinitesimal diffeomorphism transformations, where the vector diff parameter is the 4-divergence of a scalar parameter. The resulting gauge symmetry…

High Energy Physics - Theory · Physics 2022-07-20 Alberto Blasi , Nicola Maggiore

Two-point correlators and self-correlators of primordial perturbations in quasi-de Sitter spacetime backgrounds are considered. For large separations two-point correlators exhibit nearly scale invariance, while for short distances…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Adrian del Rio , Jose Navarro-Salas

The classical dynamics of N spinning point sources in 2+1 Einstein-Cartan gravity is considered. It corresponds to the ISO(2,1) Chern-Simons theory, in which the torsion source is restricted to its intrinsic spin part. A class of explicit…

High Energy Physics - Theory · Physics 2009-10-22 Andrea Cappelli , Marcello Ciafaloni , Paolo Valtancoli

In scalar-tensor theories with derivative interactions, backgrounds spontaneously break local Lorentz invariance. We study the motion of perturbations of the scalar, "phonons", on these anisotropic time-dependent backgrounds in curved…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Ignacy Sawicki , Georg Trenkler , Alexander Vikman

We construct the causal (forward/backward) propagators for the massive Klein-Gordon equation perturbed by a first order operator which decays in space but not necessarily in time. In particular, we obtain global estimates for…

Analysis of PDEs · Mathematics 2025-06-09 Dean Baskin , Moritz Doll , Jesse Gell-Redman

We start from the assumption that the theory of gravity can be formulated in terms of 4-dimensional action, and there are only 2 graviton polarization states, as in general relativity. It can be a non-perturbative effective action discussed…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Anna Tokareva

Scalar-tensor theories have shown promise in many sectors of cosmology. However, recent constraints from the speed of gravitational waves have put severe limits on the breadth of models such classes of theories can realize. In this work, we…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Fabiano F. Santos , Jackson Levi Said

We point out that tensor consistency relations-i.e. the behavior of primordial correlation functions in the limit a tensor mode has a small momentum-are more universal than scalar consistency relations. They hold in the presence of multiple…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-05 Lorenzo Bordin , Paolo Creminelli , Mehrdad Mirbabayi , Jorge Noreña

Existence and stability of Dirac points in the dispersion relation of operators periodic with respect to the hexagonal lattice is investigated for different sets of additional symmetries. The following symmetries are considered: rotation by…

Mathematical Physics · Physics 2016-12-13 Gregory Berkolaiko , Andrew Comech

Totally symmetric continuous spin field propagating in (A)dS is studied. Lagrangian gauge invariant formulation for such field is developed. Lagrangian of continuous spin field is constructed in terms of double traceless tensor fields,…

High Energy Physics - Theory · Physics 2017-04-05 R. R. Metsaev

We study the scattering problem in the static patch of de Sitter space, i.e. the problem of field evolution between the past and future horizons of a de Sitter observer. We calculate the leading-order scattering for a conformally massless…

High Energy Physics - Theory · Physics 2021-03-31 Emil Albrychiewicz , Yasha Neiman

In the framework of causal perturbation theory we analyze the gauge structure of a massless self-interacting quantum tensor field. We look at this theory from a pure field theoretical point of view without assuming any geometrical aspect…

High Energy Physics - Theory · Physics 2007-05-23 G. Scharf , M. Wellmann

We derive evolution and constraint equations for second order perturbations of flat dust homogeneous and isotropic solutions to the Einstein field equations using all scalar, vector and tensor perturbation modes. We show that the…

Mathematical Physics · Physics 2015-05-19 Filipe C. Mena

We show that the propagators of gravitons and scalar fields seen by a static patch observer in de Sitter spacetime are controlled by hidden SL(2,R) symmetries, at all frequencies. The retarded Green's function is determined by an SL(2,R) x…

High Energy Physics - Theory · Physics 2015-05-30 Dionysios Anninos , Sean A. Hartnoll , Diego M. Hofman

The minimal theory of quasidilaton massive gravity with or without a Horndeski-type kinetic term for the quasidilaton field propagates only three physical modes: the two massive tensor polarizations and one scalar mode. This reduced number…

High Energy Physics - Theory · Physics 2019-03-06 Antonio De Felice , Shinji Mukohyama , Michele Oliosi

We consider the torsional completion of the theory of gravity in which the torsion is a propagating axial-vector field interacting with spinor fields: we show how this changes the energy conditions leading to singularity formation being…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Luca Fabbri

It is challenging to construct explicit and controllable models that realize de Sitter solutions in string compactifications. This difficulty is the main motivation for the Refined de Sitter Conjecture and the Trans-Planckian Censorship…

High Energy Physics - Theory · Physics 2021-08-18 Ida M. Rasulian , Mahdi Torabian , Liliana Velasco-Sevilla