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The standard formulation of a massive Abelian vector field in $2+1$ dimensions involves a Maxwell kinetic term plus a Chern-Simons mass term; in its place we consider a Chern-Simons kinetic term plus a Stuekelberg mass term. In this latter…

High Energy Physics - Theory · Physics 2009-10-28 F. A. Dilkes , D. G. C. McKeon

We analyze the renormalized stress-energy tensor (RSET) of a massless quantum scalar field in time-dependent gravitational backgrounds. Starting from its formal expression obtained within the covariant perturbative expansion to lowest order…

General Relativity and Quantum Cosmology · Physics 2026-01-21 A. Boasso , F. D. Mazzitelli

We present a general formalism that allows for the computation of large-order renormalized expansions in the spacetime representation, effectively doubling the numerically attainable perturbation order of renormalized Feynman diagrams. We…

Strongly Correlated Electrons · Physics 2020-11-12 Riccardo Rossi , Fedor Simkovic , Michel Ferrero

We investigate the properties of the fermionic Fulling-Rindler vacuum for a massive Dirac field in a general number of spatial dimensions. As important local characteristics, the fermionic condensate and the expectation value of the…

High Energy Physics - Theory · Physics 2023-11-17 S. Bellucci , V. Kh. Kotanjyan , A. A. Saharian

The study of energy conditions has many significant applications in general relativistic and cosmological contexts. This paper explores the energy conditions in the framework of the most general scalar-tensor theory with field equations…

General Relativity and Quantum Cosmology · Physics 2013-11-27 M. Sharif , Saira Waheed

With a view toward application of the Pauli-Villars regularization method to the Casimir energy of boundaries, we calculate the expectation values of the components of the stress tensor of a confined massive field in 1+1 space-time…

Quantum Physics · Physics 2015-06-03 Fernando Daniel Mera , S. A. Fulling

We study the Stueckelberg field in de Sitter space, which is a massive vector field with the gauge fixing (GF) term $\frac{1}{2\zeta} (A^\mu\,_{;\, \mu})^2$. We obtain the vacuum stress tensor, which consists of the transverse,…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Yang Zhang , Xuan Ye

We present a regularized and renormalized version of the one-loop nonlinear relaxation equations that determine the non-equilibrium time evolution of a classical (constant) field coupled to its quantum fluctuations. We obtain a…

High Energy Physics - Theory · Physics 2009-10-30 Juergen Baacke , Katrin Heitmann , Carsten Patzold

We show that there exist solutions to the semi-classical gravity equations in de Sitter spacetime sourced by the renormalised stress-energy tensor of a free Klein-Gordon field. For the massless scalar, solutions exist for every possible…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Benito A. Juárez-Aubry

We investigate composite models of gravity and explore how dynamical tensor fields can emerge within the functional renormalization group framework. We consider two prototype models: a fermionic theory and a scalar theory. In both cases, an…

High Energy Physics - Theory · Physics 2026-04-30 Yadikaer Maitiniyazi , Masatoshi Yamada

This article presents the derivation of the stress-energy tensor of a free scalar field with a general non-linear dispersion relation in curved spacetime. This dispersion relation is used as a phenomelogical description of the short…

High Energy Physics - Theory · Physics 2009-11-07 Martin Lemoine , Musongela Lubo , Jerome Martin , Jean-Philippe Uzan

An effective description of an initial state is a method for representing the signatures of new physics in the short-distance structure of a quantum state. The expectation value of the energy-momentum tensor for a field in such a state…

High Energy Physics - Theory · Physics 2008-11-26 Hael Collins , R. Holman

Fermionic condensate and the vacuum expectation values of the energy-momentum tensor are investigated for twisted and untwisted massive spinor fields in higher-dimensional de Sitter spacetime with toroidally compactified spatial dimensions.…

High Energy Physics - Theory · Physics 2008-12-25 E. R. Bezerra de Mello , A. A. Saharian

Starting from the Pauli Hamiltonian operator, we derive a scalar quantum kinetic equations for spin-1/2 systems. Here the regular Wigner two-state matrix is replaced by a scalar distribution function in extended phase space. Apart from…

Quantum Gases · Physics 2010-04-21 Jens Zamanian , Mattias Marklund , Gert Brodin

We investigate the fermionic condensate and the vacuum expectation value of the energy-momentum tensor for a massive spinor field in the geometry of a straight cosmic string on background of de Sitter spacetime. By using the Abel-Plana…

High Energy Physics - Theory · Physics 2010-08-24 E. R. Bezerra de Mello , A. A. Saharian

We study the Wigner function for massive spin-1/2 fermions in electromagnetic fields. Dirac form kinetic equation and Klein-Gordon form kinetic equation are obtained for the Wigner function, which are derived from the Dirac equation. The…

Nuclear Theory · Physics 2019-12-04 Xin-Li Sheng

We explore Schwinger effect of spin 1/2 charged particles with static electric field in 1+3 dimensional de Sitter spacetime. We analytically calculate the vacuum expectation value of the spinor current which is induced by the produced…

High Energy Physics - Theory · Physics 2016-07-20 Takahiro Hayashinaka , Tomohiro Fujita , Jun'ichi Yokoyama

We extend previous work on quantum stress tensor operators which have been averaged over finite time intervals to include averaging over finite regions of space as well. The space and time averaging can be viewed as describing a measurement…

High Energy Physics - Theory · Physics 2020-01-22 Christopher J. Fewster , L. H. Ford

The dielectric permeability tensor for spin polarized plasmas is derived in terms of the spin-1/2 quantum kinetic model in six-dimensional phase space. Expressions for the distribution function and spin distribution function are derived in…

Plasma Physics · Physics 2017-03-08 Pavel A. Andreev

We investigate the effects of light-cone fluctuations over the renormalized vacuum expectation value of the stress-energy tensor of a real massless minimally coupled scalar field defined in a ($d+1$)-dimensional flat space-time with…

High Energy Physics - Theory · Physics 2014-05-27 V. A. De Lorenci , G. Menezes , N. F. Svaiter