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We discuss the cosmological constant problem in the light of dilatation symmetry and its possible anomaly. For dilatation symmetric quantum theories realistic asymptotic cosmology is obtained provided the effective potential has a…

High Energy Physics - Theory · Physics 2017-11-13 C. Wetterich

There is tentative evidence for a mismatch between the rest frames of matter and the cosmic microwave background, the "quasar dipole anomaly". We consider such a dipole in tilted anisotropic models, for a range of scenarios and sources:…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-04 Alicia Martín , Constantinos Skordis , Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira , Tariq Yasin

The gravitational metric tensor implies a variable dielectric tensor of vacuum around gravitational matter. The curved spacetime in general relativity is then associated with a polarizable vacuum. It is found that the number density of the…

General Physics · Physics 2009-03-24 Xing-Hao Ye

We investigate classical dynamics of the bosonic string in the background metric, antisymmetric and dilaton fields. We use canonical methods to find Hamiltonian in terms of energy-momentum tensor components. The later are secondary…

High Energy Physics - Theory · Physics 2009-11-10 Branislav Sazdovic

We show that the anomalies of the Virasoro algebra are due to the asymmetric behavior of raising and lowering operators with respect to the ground state of the string. With the adoption of a symmetric vacuum we obtain a non-anomalous theory…

High Energy Physics - Theory · Physics 2009-10-30 C. G. Bollini , M. C. Rocca

We establish a connection between the trace anomaly and a thermal radiation in the context of the standard cosmology. This is done by solving the covariant conservation equation of the stress tensor associated with a conformally invariant…

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

We review the Gasperini-Veneziano scale factor duality symmetry for the dilaton field in scalar-tensor theory and its extension in teleparallelism. Within the framework of symmetric teleparallel scalar-tensor theory, we consider a spatially…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Andronikos Paliathanasis

In inhomogeneous dielectric media the divergence of the electromagnetic stress is related to the gradients of \varepsilon and \mu, which is a consequence of Maxwell's equations. Investigating spherically symmetric media we show that this…

Quantum Physics · Physics 2021-12-30 Itai Y. Efrat , Ulf Leonhardt

We construct concrete counterterms of the Balasubramanian-Kraus type for Einstein-scalar theories with designer gravity boundary conditions in AdS$_{4}$, so that the total action is finite on-shell and satisfy a well defined variational…

High Energy Physics - Theory · Physics 2016-04-20 Andres Anabalon , Dumitru Astefanesei , David Choque , Cristian Martinez

We present a simple derivation of the one-loop trace anomaly in spinor QED through dispersion relations, avoiding completely any ultraviolet regularization. The anomaly can be expressed as a convergent sum rule for the imaginary part of a…

High Energy Physics - Phenomenology · Physics 2008-02-03 J. Horejsi , M. Schnabl

We study the vacuum zero point energy associated to a scalar field with an arbitrary mass and conformal coupling in a dS background. Employing dimensional regularization scheme, we calculate the regularized zero point energy density,…

General Relativity and Quantum Cosmology · Physics 2023-09-25 Hassan Firouzjahi , Haidar Sheikhahmadi

To fully clarify the invariance of the classical Liouville field theory under the Virasoro algebra, we first elucidate in detail the concept of classical anomaly, discuss the occurrence of two symmetry algebras associated to this problem,…

High Energy Physics - Theory · Physics 2024-01-17 Pavel Haman , Alfredo Iorio

We consider the slowly rotating relativistic stars with a uniform angular velocity in the scalar-tensor gravity, and examine the rotational effect around such compact objects. For this purpose, we derive a 2nd order differential equation…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Hajime Sotani

We consider travelling waves propagating on the anti-de Sitter (AdS) background. It is pointed out that for any dimension d, this space of solutions has a Virasoro symmetry with a non-zero central charge. This result is a natural…

High Energy Physics - Theory · Physics 2009-10-07 M. Banados , A. Chamblin , G. W. Gibbons

The virial theorem is related to the dilatation properties of bound states. This is realized, in particular, by the Landau-Lifshitz formulation of the relativistic virial theorem, in terms of the trace of the energy-momentum tensor. We…

High Energy Physics - Theory · Physics 2014-01-17 Jose Gaite

The one-loop structure of the trace anomaly is investigated using different regularizations and renormalization schemes: dimensional, proper time and Pauli-Villars. The universality of this anomaly is analyzed from a very general…

High Energy Physics - Theory · Physics 2009-02-25 M. Asorey , E. V. Gorbar , I. L. Shapiro

We find exactly solvable dilaton gravity theories containing a U(1) gauge field in two dimensional space-time. The classical general solutions for the gravity sector (the metric plus the dilaton field) of the theories coupled to a massless…

High Energy Physics - Theory · Physics 2009-10-30 Youngjai Kiem , Chang-Yeong Lee , Dahl Park

Neutron stars (NSs) in scalar-tensor theories of gravitation with the phenomenon of spontaneous scalarization can develop significant deviations from general relativity. Cases with a massless scalar were studied widely. Here we compare the…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Zexin Hu , Yong Gao , Rui Xu , Lijing Shao

Motivated by a desire to understand quantum fluctuation energy densities and stress within a spatially varying dielectric medium, we examine the vacuum expectation value for the stress tensor of a scalar field with arbitrary conformal…

High Energy Physics - Theory · Physics 2016-05-17 Kimball A. Milton , Stephen A. Fulling , Prachi Parashar , Pushpa Kalauni , Taylor Murphy

Canonical quantization of gravity requires knowledge about the representation theory of its constraint algebra, which is physically equivalent to the algebra of arbitrary 4-diffeomorphisms. All interesting lowest-energy representations are…

High Energy Physics - Theory · Physics 2007-09-20 T. A. Larsson