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In holography, the isometry group of the bulk spacetime corresponds to the symmetries of the boundary theory. We thus approach the question of whether (and when) scale invariance in combination with Poincar\'e invariance implies full…

High Energy Physics - Theory · Physics 2026-02-10 Lavish Chawla , Mario Flory

We consider Einstein-Horndeski gravity with a negative bare constant as a holographic model to investigate whether a scale invariant quantum field theory can exist without the full conformal invariance. Einstein-Horndeski gravity can admit…

High Energy Physics - Theory · Physics 2019-09-04 Yue-Zhou Li , H. Lu , Hao-Yu Zhang

We argue that conformal invariance is a common thread linking several scalar effective field theories that appear in the double copy and scattering equations. For a derivatively coupled scalar with a quartic ${\cal O}(p^4)$ vertex,…

High Energy Physics - Theory · Physics 2021-01-01 Clifford Cheung , James Mangan , Chia-Hsien Shen

There has been recent interest in the question of whether four dimensional scale invariant unitary quantum field theories are actually conformally invariant. In this note we present a complete analysis of possible scale anomalies in…

High Energy Physics - Theory · Physics 2014-07-24 Adam Bzowski , Kostas Skenderis

It is known that local, Lorentz invariant, unitary theories involving particles with spin 1 demand that the matter sector they couple to are organized by internal physical symmetries and the associated charge conservation, while spin 3/2…

High Energy Physics - Theory · Physics 2020-08-12 Mark P. Hertzberg , Jacob A. Litterer , McCullen Sandora

We study gravity coupled to a cosmological constant and a scale but not conformally invariant sector. In Minkowski vacuum, scale invariance is spontaneously broken. We consider small fluctuations around the Minkowski vacuum. At the…

High Energy Physics - Theory · Physics 2016-06-22 Stefan Forste , Paul Manz

Recently there have been several studies devoted to the investigation of the fate of fundamental relativistic symmetries at the foreseen unification of gravity and quantum regime, that is the Planck scale. In order to preserve covariance of…

General Relativity and Quantum Cosmology · Physics 2025-02-19 Marco Danilo Claudio Torri

We find the conditions under which scale-invariant Einstein-Cartan gravity with scalar matter fields leads to an approximate conformal invariance of the flat space particle theory up to energies of the order of the Planck mass. In the…

High Energy Physics - Theory · Physics 2023-07-24 Georgios K. Karananas , Mikhail Shaposhnikov , Sebastian Zell

The hypothesis is made that, at large scales where General Relativity may be applied, the empty space is scale invariant. This establishes a relation between the cosmological constant and the scale factor of the scale invariant framework.…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-17 Andre Maeder

For bouncing cosmologies such as the ekpyrotic/cyclic scenarios we show that it is possible to make predictions for density perturbations which are independent of the details of the bouncing phase. This can be achieved, as in inflationary…

High Energy Physics - Theory · Physics 2009-11-10 Paolo Creminelli , Alberto Nicolis , Matias Zaldarriaga

We consider the standard model with local scale invariance. The theory shows exact scale invariance of dimensionally regulated action. We show that massless gauge fields, which may be abelian or non-abelian, lead to vanishing contribution…

High Energy Physics - Phenomenology · Physics 2010-08-19 Pavan K. Aluri , Pankaj Jain , Subhadip Mitra , Sukanta Panda , Naveen K. Singh

Here we discuss a topic that comes up more often than expected: A same theory or theoretical model arises in two different presentations which are assumed to be actually different theories so that these are independently developed.…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Israel Quiros , Francisco Antonio Horta-Rangel

We examine the question of scale vs. conformal invariance for the linearized Einstein-Hilbert action, which describes the IR fixed point of quantum gravity. In $D = 4$, although the action is not conformally invariant in the usual sense, we…

High Energy Physics - Theory · Physics 2022-04-21 Kara Farnsworth , Kurt Hinterbichler , Ondrej Hulik

We show how Einstein-Cartan gravity can accommodate both global scale and local scale (Weyl) invariance. To this end, we construct a wide class of models with nonpropagaing torsion and a nonminimally coupled scalar field. In…

High Energy Physics - Theory · Physics 2021-12-08 Georgios K. Karananas , Mikhail Shaposhnikov , Andrey Shkerin , Sebastian Zell

Cosmological solutions of the Brans-Dicke theory with an added cosmological constant are investigated with an emphasis to select a conformal frame in order to implement the scenario of a decaying cosmological constant, featuring an ever…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Yasunori Fujii

We investigate a conformal invariant gravitational model which is taken to hold at pre-inflationary era. The conformal invariance allows to make a dynamical distinction between the two unit systems (or conformal frames) usually used in…

High Energy Physics - Theory · Physics 2009-11-10 Yousef Bisabr

We want to establish the basic properties of a scale invariant cosmology, that also accounts for the hypothesis of scale invariance of the empty space at large scales. We write the basic analytical properties of the scale invariant…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Andre Maeder

We study a possibility of anisotropic scale invariant cosmology. It is shown that within the conventional Einstein gravity, the violation of the null energy condition is necessary. We construct an example based on a ghost condensation model…

High Energy Physics - Theory · Physics 2011-03-04 Yu Nakayama

For a four dimensional, unitary, diffeomorphism- and scale invariant quantum field theory without higher derivatives and a well defined scale current we argue that scale invariance implies conformal invariance. The proof relies on the…

High Energy Physics - Theory · Physics 2015-05-11 Ivo Sachs

In contrast to massless spinning particles, scalars are not heavily constrained by unitarity and locality. Off-shell, no gauge symmetries are required to write down manifestly local theories, while on-shell consistent factorisation is…

High Energy Physics - Theory · Physics 2020-12-30 Tanguy Grall , Sadra Jazayeri , David Stefanyszyn