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We examine the vacuum polarization contribution in the renormalization scheme of QED. Normally, the quadratic divergence term is discarded under the condition that the counter term of the Lagrangian density should be gauge invariant. Here,…

High Energy Physics - Theory · Physics 2009-01-23 T. Fujita , N. Kanda , H. Kato , H. Kubo , Y. Munakata , S. Oshima , K. Tsuda

Quantum field theory (QFT) is supposed to be gauge invariant. However it has been well established that a direct calculation of the vacuum polarization tensor produces a non-gauge invariant result. In this paper it will be shown that this…

General Physics · Physics 2017-12-15 Dan Solomon

We study unitarity and renormalizability in the Lifshitz scalar field theory, which is characterized by an anisotropic scaling between the space and time directions. Without the Lorentz symmetry, both the unitarity and the renormalizability…

High Energy Physics - Theory · Physics 2016-06-21 Toshiaki Fujimori , Takeo Inami , Keisuke Izumi , Tomotaka Kitamura

We study symmetry of space-time in presence of a minimally coupled scalar field interacting with a Kalb--Ramond tensor fields in a homogeneous but initially anisotropic universe. The analysis is performed for the two relevant cases of a…

High Energy Physics - Theory · Physics 2009-11-10 E. Di Grezia , G. Mangano , G. Miele

We present a Lorentz gauge theory of gravity in which the metric is not dynamical. Spherically symmetric weak field solutions are studied. We show that this solution contains the Schwarzschild spacetime at least to the first order of…

General Relativity and Quantum Cosmology · Physics 2016-10-27 Ahmad Borzou

We present a polymer quantization of spherically symmetric Einstein gravity in which the polymerized variable is the area of the Einstein-Rosen wormhole throat. In the classical polymer theory, the singularity is replaced by a bounce at a…

General Relativity and Quantum Cosmology · Physics 2010-04-06 G. Kunstatter , J. Louko , A. Peltola

We present the vacuum polarisation of a massless, conformally coupled scalar field on the brane for a Schwarzschild-Tangherlini black hole in a bulk of zero to seven additional dimensions.

General Relativity and Quantum Cosmology · Physics 2013-03-14 Matthew Hewitt , Elizabeth Winstanley

We present a cosmic string on a warped five dimensional space time in Einstein-Yang-Mills theory. Four-dimensional cosmic strings show some serious problems concerning the mechanism of string smoothing related to the string mass per unit…

General Relativity and Quantum Cosmology · Physics 2011-11-14 Reinoud Jan Slagter , Derk Masselink

We obtain an analytic approximation for the effective action of a quantum scalar field in a general static two-dimensional spacetime. We apply this to the dilaton gravity model resulting from the spherical reduction of a massive,…

High Energy Physics - Theory · Physics 2011-02-22 Roberto Balbinot , Alessandro Fabbri , Piero Nicolini , Patrick J. Sutton

The metric of arbitrary dimensional Schwarzschild black hole in the background of Friedman-Robertson-Walker universe is presented in the cosmic coordinates system. In particular, the arbitrary dimensional Schwarzschild-de Sitter metric is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Chang Jun Gao

In this technical note we introduce a manifestly gauge-invariant and supersymmetric procedure to regularize and renormalize one-loop divergences of chiral multiplets in two-dimensional N=(2,2) theories in curved spacetime. We apply the…

High Energy Physics - Theory · Physics 2018-01-17 Takuya Okuda

A recent paper proposes a static ellipsoidal space-time metric that reduces to Schwarzschild. After examining the corrected line element using Maple's Differential geometry package, we find that the Einstein tendor and Ricci scalar are…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Antonio C. Gutiérrez-Piñeres

We study cosmic Nielsen-Olesen strings in space-times with a positive cosmological constant. For the free cosmic string in a cylindrically symmetric space-time, we calculate the contribution of the cosmological constant to the angle…

General Relativity and Quantum Cosmology · Physics 2008-12-31 Sourav Bhattacharya , Amitabha Lahiri

Applying a non-diagonal spherically symmetric tetrad field having arbitrary function, $S(r)$, that is corresponding to local Lorentz transformation, to the field equations of f(T) gravity theories. An analytic vacuum solutions with…

General Physics · Physics 2015-06-11 Gamal G. L. Nashed

Renormalization in quantum statistics in the presence of a charge associated to a spontaneously broken symmetry is discussed for the scalar field model. In contrast to the case of non-broken symmetry, the renormalization mass counterterm…

High Energy Physics - Theory · Physics 2009-10-22 M. Chaichian , J. L. Lucio M. , C. Montonen , H. Perez Rojas , M. Vargas

We investigate static spherically symmetric solutions within the framework of the local limit of nonlocal gravity. This theory departs from Einstein's general relativity (GR) through the introduction of a scalar gravitational susceptibility…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Yahya Mohammadi , Javad Tabatabaei , Shant Baghram , Bahram Mashhoon

We consider scattering and capture of circular cosmic strings by a Schwarzschild black hole. Although being a priori a very simple axially symmetric two-body problem, it shows all the features of chaotic scattering. In particular, it…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Andrei V. Frolov , Arne L. Larsen

We develop precise formulation for the effects of vacuum polarization near a pointlike source with a zero-range ($\delta$-like) potential in three spatial dimensions. There are different ways of introducing $\delta$-interaction in the…

High Energy Physics - Theory · Physics 2024-05-31 Yuri V. Grats , Pavel Spirin

We generalize the vacuum static black strings with negative cosmological constant recently discussed in literature, by including an electromagnetic field. These higher-dimensional configurations have no dependence on the `compact' extra…

High Energy Physics - Theory · Physics 2008-11-26 Yves Brihaye , Eugen Radu , Cristian Stelea

We analyse the vacuum static spherically symmetric space-time for a specific class of non-conservative theories of gravity based on the Rastall's theory. We obtain a new vacuum solution which has the same structure as the Schwarzschild-de…

General Relativity and Quantum Cosmology · Physics 2016-06-15 A. M. Oliveira , H. E. S. Velten , J. C. Fabris