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A study is made of Hawking radiation from four-dimensional black holes using effective field theory methods. The trace anomaly for the stress tensor in a general curved spacetime background is reproduced using Riegert's action. The…

High Energy Physics - Theory · Physics 2025-11-13 David A. Lowe , Larus Thorlacius

The characteristic features of $<T_{\mu\nu}>$ in the Boulware, Unruh and Hartle-Hawking states for a conformal massless scalar field propagating in the Schwarzschild space-time are obtained by means of effective actions deduced by the trace…

High Energy Physics - Theory · Physics 2009-10-31 R. Balbinot , A. Fabbri , I. Shapiro

The quantum induced stress tensor of 3+1-dimensional Einstein gravity, with conformally coupled matter, is studied in an effective field theory approach. In this context, Riegert's non-local effective action is sufficient to reproduce the…

High Energy Physics - Theory · Physics 2025-11-10 Bing-Nan Liu , David A. Lowe , Larus Thorlacius

In quantum field theory applied to black hole spacetimes, substantial evidence suggests that the Unruh and Hartle-Hawking vacuum states become singular at Cauchy horizons. This raises essential questions regarding the impact of quantum…

General Relativity and Quantum Cosmology · Physics 2024-12-10 Julio Arrechea , Giulio Neri , Stefano Liberati

Minimally coupled 4D scalar fields in Schwarzschild space-time are considered. Dimensional reduction to 2D leads to a well known anomaly induced effective action, which we consider here in a local form with the introduction of auxiliary…

General Relativity and Quantum Cosmology · Physics 2009-10-31 R. Balbinot , A. Fabbri

Recently proposed 2D anomaly induced effective actions for the matter-gravity system are critically reviewed. Their failure to correctly reproduce Hawking's black hole radiation or the stability of Minkowski space-time led us to a…

High Energy Physics - Theory · Physics 2009-10-31 R. Balbinot , A. Fabbri

We compare the canonical quantization and the effective action method to derive expectation values of the stress energy tensor for scalar fields conformally coupled to a 2D Schwarzschild black hole spacetime. Particular attention is devoted…

High Energy Physics - Theory · Physics 2007-05-23 R. Balbinot , A. Fabbri

The next-to-leading term of the renormalized stress-energy tensor of the quantized massive field with an arbitrary curvature coupling in the spacetime of the Schwarzschild black hole is constructed. It is achieved by functional…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Jerzy Matyjasek , Dariusz Tryniecki

We determine the $s$-waves contribution of a scalar field to the four dimensional effective action for arbitrary spherically symmetric external gravitational fields. The result is applied to $4d$-black holes and it is shown that the energy…

High Energy Physics - Theory · Physics 2009-10-28 V. Mukhanov , A. Wipf , A. Zelnikov

The existence of trace anomalies for conformally coupled quantum fields in curved spacetimes, despite the vanishing of the trace of the conformally invariant classical stress-energy tensor, was firmly established in the 1970's, and…

General Relativity and Quantum Cosmology · Physics 2018-08-30 James M. Bardeen

The effective action associated with the trace anomaly provides a general algorithm for approximating the expectation value of the stress tensor of conformal matter fields in arbitrary curved spacetimes. In static, spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul R. Anderson , Emil Mottola , Ruslan Vaulin

The macroscopic effects of the quantum conformal anomaly are evaluated in a simplified two-dimensional model of gravitational collapse. The effective action and stress tensor of the anomaly can be expressed in a local quadratic form by the…

General Relativity and Quantum Cosmology · Physics 2023-09-08 Emil Mottola , Mani Chandra , Gian Mario Manca , Evgeny Sorkin

Motivated by the universality of Hawking radiation and that of the anomaly cancellation technique as well as that of the effective action method, we investigate the Hawking radiation of a Schwarzschild black hole in the isotropic…

High Energy Physics - Theory · Physics 2008-11-26 Shuang-Qing Wu , Jun-Jin Peng , Zhan-Yue Zhao

We revisit the Hawking radiation by comparing the effective actions in the in-out formalism, and advance an interpretation of the vacuum polarization and the Hawking radiation. The equivalence exists between the spinor QED effective action…

High Energy Physics - Theory · Physics 2012-04-19 Sang Pyo Kim

The low energy effective action of gravity in any even dimension generally acquires non-local terms associated with the trace anomaly, generated by the quantum fluctuations of massless fields. The local auxiliary field description of this…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Emil Mottola , Ruslan Vaulin

The action for 2d dilatonic supergravity with dilaton coupled matter and dilaton multiplets is constructed. Trace anomaly and anomaly induced effective action (in components as well as in supersymmetric form) for matter supermultiplet on…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

The trace anomaly of conformal matter implies the existence of massless scalar poles in physical amplitudes involving the stress-energy tensor. These poles may be described by a local effective action with massless scalar fields, which…

General Relativity and Quantum Cosmology · Physics 2011-03-21 Emil Mottola

In this paper, we consider a quantum scalar field propagating on the Reissner-Nordstr\"om black hole spacetime. We compute the renormalized stress-energy tensor for the field in the Hartle-Hawking, Boulware and Unruh states. When the field…

General Relativity and Quantum Cosmology · Physics 2023-07-21 Julio Arrechea , Cormac Breen , Adrian Ottewill , Peter Taylor

The spherically symmetric reduction of higher dimensional Einstein-scalar theory leads to lower dimensional dilatonic gravity with dilaton coupled scalar (for example, from 4D to 2D system). We calculate trace anomaly and anomaly induced…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We consider a quantum field which is in a Hartle-Hawking state propagating in a general spherically symmetric black hole space-time. We make use of uniform approximations to the radial equation to calculate the components of the stress…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Cormac Breen , Adrian C. Ottewill
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