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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

We investigate the conformal invariant Lagrangian of the self-gravitating U(1) scalar-gauge field and find new features of the model on the time-dependent axially symmetric Bondi-Marder spacetime. By considering the conformal symmetry as…

General Relativity and Quantum Cosmology · Physics 2018-11-06 Reinoud Jan Slagter

We discuss time - dependent solutions of the leading order string effective equations for a non-zero central charge deficit and curved maximally symmetric space. Some regular solutions are found for the case of non-trivial antisymmetric…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

Trace-free Einstein gravity, in the absence of matter fields and using the Friedmann-Robertson-Walker (FRW) metric, is solvable both classically and quantum mechanically. This is achieved by using the conformal time as the time variable and…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Merced Montesinos , Abdel Pérez-Lorenzana , Jorge Meza , Diego Gonzalez

A consistency condition of general relativity as an effective field theory in Minkowskian background uniquely fixes the value of the cosmological constant. In two-loop calculations, including the interaction of gravitons with matter fields,…

High Energy Physics - Theory · Physics 2024-05-16 E. Epelbaum , J. Gegelia , Ulf-G. Meißner , L. Neuhaus

A four dimensional scalar field theory with quartic and of higher power interactions suffers the triviality issue at the quantum level. This is due to coupling constants that, contrary to the physical expectations, seem to grow without a…

High Energy Physics - Theory · Physics 2013-05-30 Artur R. Pietrykowski

We discuss the construction of boundary contributions to free string field theory actions in the context of the bosonic string. We show that it is generally possible to obtain a well-defined variational principle by adding a simple boundary…

High Energy Physics - Theory · Physics 2025-02-27 Carlo Maccaferri , Riccardo Poletti , Alberto Ruffino , Jakub Vošmera

In the framework of an effective field theory of general relativity a model of scalar and vector bosons interacting with the metric field is considered. It is shown in the framework of a two-loop order calculation that for the cosmological…

High Energy Physics - Theory · Physics 2019-08-30 J. Gegelia , Ulf-G. Meißner

We derive an explicit, exactly conformally invariant form for the action for the non-abelian Toda field theory. We demonstrate that the conformal invariance conditions, expressed in terms of the $\beta$-functions of the theory, are…

High Energy Physics - Theory · Physics 2015-06-26 I. Jack , D. R. T. Jones , J. Panvel

We complement the low-energy gravi-dilaton effective action of string theory with a non-local, general-covariant dilaton potential, and obtain homogeneous solutions describing a non-singular (bouncing-curvature) cosmology. We then compute,…

High Energy Physics - Theory · Physics 2010-04-05 M. Gasperini , M. Giovannini , G. Veneziano

Starting from an exact (in the Regge slope alpha') functional method for a bosonic stringy sigma-model, we investigate four-dimensional cosmological string solutions in graviton, dilaton and antisymmetric tensor backgrounds, compatible with…

High Energy Physics - Theory · Physics 2008-11-26 Jean Alexandre , Nick E. Mavromatos , Dylan Tanner

We showed that the principle of nongravitating vacuum energy, when formulated in the first order formalism, solves the cosmological constant problem. The most appealing formulation of the theory displays a local symmetry associated with the…

General Relativity and Quantum Cosmology · Physics 2011-09-09 E. I. Guendelman , A. B. Kaganovich

A supersymmetric approach to string quantum cosmology based on the non-compact, global duality symmetries of the effective action is developed. An N=2 supersymmetric action is derived whose bosonic component is the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James E. Lidsey , J. Maharana

We consider conformally invariant form of the actions in Einstein, Weyl, Einstein-Cartan and Einstein-Cartan-Weyl space in general dimensions($>2$) and investigate the relations among them. In Weyl space, the observational consistency…

General Relativity and Quantum Cosmology · Physics 2010-11-23 Tae Yoon Moon , Joohan Lee , Phillial Oh

A two dimensional matter coupled model of quantum gravity is studied in the Dirac approach to constrained dynamics in the presence of a cosmological constant. It is shown that after partial fixing to the conformal gauge the requirement of a…

High Energy Physics - Theory · Physics 2011-08-29 Jan Govaerts , Simone Zonetti

General Relativity receives quantum corrections relevant at cosmological distance scales from the conformal scalar degrees of freedom required by the trace anomaly of the quantum stress tensor in curved space. In the theory including the…

General Relativity and Quantum Cosmology · Physics 2012-09-25 Emil Mottola

After reviewing the $\beta$-function equations for consistent string backgrounds in the $\sigma$-model approach, including metric and antisymmetric tensor, dilaton and tachyon potential, we apply this formalism to WZW models. We…

High Energy Physics - Theory · Physics 2016-09-06 Adel Bilal

We compute the cosmological constant in a scale invariant scalar field theory. The gravitational action is also suitably modified to respect scale invariance. Due to scale invariance the theory does not admit a cosmological constant term.…

High Energy Physics - Phenomenology · Physics 2010-11-15 Pankaj Jain , Subhadip Mitra

We first make more precise a recent "Hamiltonian" reformulation of the Hohm-Zwiebach approach to the tree-level, $O(d,d)$-invariant string cosmology equations at all orders in the $\alpha'$ expansion, and recall how it allows to give a…

High Energy Physics - Theory · Physics 2025-02-24 P. Conzinu , G. Fanizza , M. Gasperini , E. Pavone , L. Tedesco , G. Veneziano

We explore cosmology with a bounce in Gauss-Bonnet gravity where the Gauss-Bonnet invariant couples to a dynamical scalar field. In particular, the potential and and Gauss-Bonnet coupling function of the scalar field are reconstructed so…

High Energy Physics - Theory · Physics 2015-06-23 Kazuharu Bamba , Andrey N. Makarenko , Alexandr N. Myagky , Sergei D. Odintsov