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We study the question of whether two frames of a given physical theory are equivalent or not in the presence of quantum corrections. By using field theory arguments we claim that equivalence is broken in the presence of anomalous symmetries…

High Energy Physics - Theory · Physics 2016-06-01 Mario Herrero-Valea

The present work shows that the mathematical equivalence of Jordan frame and its conformally transformed version, the Einstein frame, so far as Brans-Dicke theory is concerned, survives a quantization of cosmological models in the theory.…

General Relativity and Quantum Cosmology · Physics 2016-12-13 Sachin Pandey , Sridip Pal , Narayan Banerjee

The issue of the equivalence between Jordan and Einstein conformal frames in scalar-tensor gravity is revisited, with emphasis on implementing running units in the latter. The lack of affine parametrization for timelike worldlines and the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Valerio Faraoni , Shahn Nadeau

The $f(R)$ gravity and scalar-tensor theory are known to be equivalent at the classical level. We study if this equivalence is valid at the quantum level. There are two descriptions of the scalar-tensor theory in the Jordan and Einstein…

High Energy Physics - Theory · Physics 2019-12-06 Nobuyoshi Ohta

It is well known that the Jordan and Einstein frames are equivalent to each other in classical Brans-Dicke theory, provided that one and the same metric is employed for the physical space-time. Nevertheless, it is shown in this paper by…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Michal Artymowski , Yonnge Ma , Xiangdong Zhang

It is shown that the Jordan frame and its conformally transformed version, the Einstein frame of nonminimally coupled theories of gravity, are actually equivalent at the quantum level. The example of the theory taken up is the Brans-Dicke…

General Relativity and Quantum Cosmology · Physics 2016-10-04 Sachin Pandey , Narayan Banerjee

The conformal equivalence between Jordan frame and Einstein frame can be used in order to search for exact solutions in general theories of gravity in which scalar fields are minimally or nonminimally coupled with geometry. In the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Salvatore Capozziello , Ruggiero de Ritis , Alma Angela Marino

A longstanding issue is the classical equivalence between the Jordan and the Einstein frames, which is considered just a field redefinition of the metric tensor and the scalar field. In this work, based on the previous result that the…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Gabriele Gionti S. J. , Matteo Galaverni

We revisit the question of frame equivalence in Quantum Field Theory in the presence of gravity, a situation of relevance for theories aiming to describe the early Universe dynamics and Inflation in particular. We show that in those cases,…

High Energy Physics - Theory · Physics 2019-09-04 Kevin Falls , Mario Herrero-Valea

The scalar-tensor theory is plagued by nagging questions if different conformal frames, in particular the Jordan and Einstein conformal frames, are equivalent to each other. As a closely related question, there are opposing views on which…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasunori Fujii

Scalar-Tensor theories of gravity can be formulated in different frames, most notably, the Einstein and the Jordan one. While some debate still persists in the literature on the physical status of the different frames, a frame…

Astrophysics · Physics 2008-11-26 R. Catena , M. Pietroni , L. Scarabello

We show, considering a specific f(R)-gravity model, that the Jordan frame and the Einstein frame are physically non-equivalent, although they are connected by a conformal transformation which yields a mathematical equivalence. Since all the…

General Relativity and Quantum Cosmology · Physics 2010-05-25 S. Capozziello , P. Martin-Moruno , C. Rubano

Whether Jordan's and Einstein's frame descriptions of F(R) theory of gravity are physically equivalent, is a long standing debate. However, practically none questioned on true mathematical equivalence, since classical field equations may be…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Nayem Sk. , Abhik Kumar Sanyal

The issue of the physical equivalence between the Einstein and Jordan conformal frames in Jordan-Brans-Dicke (JBD) theory is revised. Scalar-tensor theories equations are not invariant with respect to conformal transformations if one uses…

General Physics · Physics 2012-12-26 Sergey M. Kozyrev , Rinat A. Daishev

It is well known that, in contrast to general relativity, there are two conformally related frames, the Jordan frame and the Einstein frame, in which the Brans-Dicke theory, a prototype of generic scalar-tensor theory, can be formulated.…

General Relativity and Quantum Cosmology · Physics 2015-06-25 A. Bhadra , K. Sarkar , D. P. Datta , K. K. Nandi

Scalar tensor theories can be expressed in different frames, such as the commonly-used Einstein and Jordan frames, and it is generally accepted that cosmological observables are the same in these frames. We revisit this by making a detailed…

General Relativity and Quantum Cosmology · Physics 2017-12-20 François Rondeau , Baojiu Li

We study capability of $f(R)$ gravity models to allow crossing the phantom boundary in both Jordan and Einstein conformal frames. In Einstein frame, these models are equivalent to Einstein gravity together with a scalar field minimally…

General Relativity and Quantum Cosmology · Physics 2012-07-24 Yousef Bisabr

There has been considerable interest in the community to understand if the Einstein and Jordan frames are either physically equivalent to each other or if there exists a preference frame where interpretations of physical observables should…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Joel Velásquez , Héctor J. Hortua , Leonardo Castañeda

The conformal correspondence between FLRW universes in the Einstein and Jordan frames allows for an expansion-collapse duality -- an always expanding Einstein frame universe can have a dual Jordan frame description that is contracting…

General Relativity and Quantum Cosmology · Physics 2023-09-12 Dipayan Mukherjee , Harkirat Singh Sahota

With an explicit example, we show that Jordan frame and the conformally transformed Einstein frames clearly lead to different physics for a non-minimally coupled theory of gravity, namely Brans-Dicke theory, at least at the quantum level.…

General Relativity and Quantum Cosmology · Physics 2016-01-25 Narayan Banerjee , Barun Majumder
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