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We study the regularization of a spin-1/2 fieldin the vacuum state in de Sitter space. We find that the 2nd order adiabatic regularization is sufficient to remove all UV divergences for the spectral stress tensor, as well as for the power…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Xuan Ye , Yang Zhang

In the conventional adiabatic regularization the vacuum ultraviolet divergences of a quantum field in curved spacetime are removed by subtracting the $k$-mode of the stress tensor to the 4th-order. For a scalar field in de Sitter space, we…

General Relativity and Quantum Cosmology · Physics 2020-03-03 Yang Zhang , Xuan Ye , Bo Wang

We perform the point-splitting regularization on the vacuum stress tensor of a coupling scalar field in de Sitter space under the guidance from the adiabatically regularized Green's function. For the massive scalar field with the minimal…

General Relativity and Quantum Cosmology · Physics 2022-09-13 Xuan Ye , Yang Zhang , Bo Wang

The Maxwell field with a general gauge fixing (GF) term is nontrivial, not only the longitudinal and temporal modes are mixed up in the field equations, but also unwanted consequences might arise from the GF term. We derive the complete set…

General Relativity and Quantum Cosmology · Physics 2022-09-08 Yang Zhang , Xuan Ye

By considering Hadamard vacuum states, we first construct the two-point functions associated with Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes. Then, from the general formalism developed in [A. Belokogne…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Andrei Belokogne , Antoine Folacci , Julien Queva

We study the Maxwell field with a general gauge fixing (GF) term in the radiation-dominant (RD) and matter-dominant (MD) stages of expanding Universe, as a continuation to the previous work in de Sitter space. We derive the exact solutions,…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Xuan Ye , Yang Zhang

We study the renormalized energy-momentum tensor of gravitons in a de Sitter space-time. After canonically quantizing only the physical degrees of freedom, we adopt the standard adiabatic subtraction used for massless minimally coupled…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Finelli , G. Marozzi , G. P. Vacca , G. Venturi

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

We compute the leading order contribution to the stress-energy tensor corresponding to the modes of a quantum scalar field propagating in a Friedmann-Robertson-Walker universe with arbitrary coupling to the scalar curvature, whose exact…

General Relativity and Quantum Cosmology · Physics 2011-05-02 Ali Kaya , Merve Tarman

In this work, we investigate the renormalized energy--momentum tensor of a quantized charged scalar field in three-dimensional de Sitter spacetime $\mathrm{dS}_{3}$ under the influence of a uniform electric field. Using the adiabatic…

High Energy Physics - Theory · Physics 2025-12-12 Manizheh Botshekananfard , Takahiro Hayashinaka

The approximate stress-energy tensor of the quantized massive scalar, spinor and vector fields in the spatially flat Friedman-Robertson-Walker universe is constructed. It is shown that for the scalar fields with arbitrary curvature…

General Relativity and Quantum Cosmology · Physics 2013-11-19 Jerzy Matyjasek , Paweł Sadurski

We present a consistent low energy effective field theory framework for parameterizing the effects of novel short distance physics in inflation, and their possible observational signatures in the Cosmic Microwave Background. We consider the…

High Energy Physics - Theory · Physics 2009-11-11 Paul R. Anderson , Carmen Molina-Paris , Emil Mottola

We study adiabatic regularization of a coupling massless scalar field in general spatially flat Robertson-Walker (RW) spacetimes. For the conformally-coupling, the 0th-order regularized power spectrum and 0th-order regularized stress tensor…

General Relativity and Quantum Cosmology · Physics 2020-09-07 Yang Zhang , Bo Wang , Xuan Ye

The approximation of the renormalized stress-energy tensor of the quantized massive scalar, spinor, and vector field in the Reissner- Nordstrom spacetime is constructed. It is achieved by functional differentiation of the lowest order of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jerzy Matyjasek

The aim of this research is to investigate the vacuum energy-momentum tensor of a quantized, massive, nonminimally coupled scalar field induced by a uniform electric field background in a four-dimensional de Sitter spacetime ($\dsf$). We…

High Energy Physics - Theory · Physics 2023-06-14 Omid Gholizadeh Meimanat , Ehsan Bavarsad

We calculate the vacuum expectation values of the stress-energy bitensor of a minimally coupled massless scalar field in anti-de Sitter (AdS) spaces. These correlators, also known as the noise kernel, act as sources in the Einstein-Langevin…

High Energy Physics - Theory · Physics 2015-05-28 H. T. Cho , B. L. Hu

We analyze the adiabatic regularization scheme to renormalize Proca fields in a four-dimensional Friedmann-Lema\^{i}tre-Robertson-Walker spacetime. The adiabatic method is well established for scalar and spin-$1/2$ fields, but is not yet…

General Relativity and Quantum Cosmology · Physics 2023-12-12 F. Javier Marañón-González , José Navarro-Salas

We study the Horndeski vector-tensor theory that leads to second order equations of motion and contains a non-minimally coupled abelian gauge vector field. This theory is remarkably simple and consists of only 2 terms for the vector field,…

High Energy Physics - Theory · Physics 2013-11-18 Jose Beltrán Jiménez , Ruth Durrer , Lavinia Heisenberg , Mikjel Thorsrud

We develop a new regularization method for the stress-energy tensor and the two-point function of free quantum scalar fields propagating in cosmological spacetimes. We proceed by extending the adiabatic regularization scheme with the…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Antonio Ferreiro , Samuel Monin , Francisco Torrenti

We present a 4-dimensional back reaction analysis of de Sitter space for a conformally coupled scalar field in the presence of vacuum energy initialized in the Bunch-Davies vacuum. In contrast to the usual semi-classical prescription, as…

General Relativity and Quantum Cosmology · Physics 2018-09-25 Tommi Markkanen
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