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We analyse different approaches to the description of the quantum field theory of a free massless (pseudo)scalar field defined in 1+1-dimensional space-time which describes the bosonized version of the massless Thirring model. These are (i)…

High Energy Physics - Theory · Physics 2007-05-23 M. Faber , A. N. Ivanov

Self-similar, spherically symmetric cosmological models with a perfect fluid and a scalar field with an exponential potential are investigated. New variables are defined which lead to a compact state space, and dynamical systems methods are…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Alan Coley , Martin Goliath

We explore the question of how to probe the vacuum structure of space time by a massive scalar field through interaction with background gravitons. Using the $\Gamma$-regularization for the in-/out-state formalism, we find the effective…

High Energy Physics - Theory · Physics 2015-05-27 Sang Pyo Kim

We consider the response of an Unruh detector to scalar fields in an expanding space-time. When combining transition elements of the scalar field Hamiltonian with the interaction operator of detector and field, one finds at second order in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Bjorn Garbrecht , Tomislav Prokopec

In the present work the massless vector field in the de Sitter (dS) space has been quantized. "Massless" is used here by reference to conformal invariance and propagation on the dS light-cone whereas "massive" refers to those dS fields…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Garidi , J-P. Gazeau , S. Rouhani , M. V. Takook

We study the role of bosonic zero modes in light-cone quantisation on the invariant mass spectrum for the simplified setting of two-dimensional SU(2) Yang-Mills theory coupled to massive scalar adjoint matter. Specifically, we use…

High Energy Physics - Theory · Physics 2009-10-31 A. S. Mueller , A. C. Kalloniatis , H. -C. Pauli

Complex frequency modes occur for a scalar field near a rapidly rotating star {\it with ergoregion but no event horizon}. Such complex frequency modes must be included in the quantization of the field. As a model for this system, we have…

High Energy Physics - Theory · Physics 2016-01-27 Gungwon Kang

The early Cosmology driven by a single scalar field, both massless and massive, in the context of Eddington-inspired Born-Infeld gravity, is explored. We show the existence of nonsingular solutions of bouncing and loitering type (depending…

General Relativity and Quantum Cosmology · Physics 2021-11-15 David Benisty , Gonzalo J. Olmo , Diego Rubiera-Garcia

The influence functional is derived for a massive scalar field in the ground state, coupled to a uniformly accelerating DeWitt monopole detector in $D+1$ dimensional Minkowski space. This confirms the local nature of the Unruh effect, and…

High Energy Physics - Theory · Physics 2009-10-22 J. R. Anglin

The decay behavior of a massless scalar field in the Schwarzschild-de Sitter spacetime is well-known to follow an exponential law at asymptotically late times $t \rightarrow \infty$. In contrast, a massive scalar field in the asymptotically…

General Relativity and Quantum Cosmology · Physics 2024-04-16 R. A. Konoplya

We consider the quantum dynamics of a massless scalar field in de Sitter space-time. The classical evolution is represented by a canonical transformation on the phase space for the field theory. By studying the corresponding Bogoliubov…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daniel Gómez Vergel , Eduardo J. S. Villaseñor

In expanding FRW spacetimes, it is usually the case that homogeneous scalar fields redshift and their amplitudes approach limiting values: Hubble friction usually ensures that the field relaxes to its minimum energy configuration, which is…

High Energy Physics - Theory · Physics 2017-05-08 Jasdeep S. Bains , Mark P. Hertzberg , Frank Wilczek

We consider the response of a uniformly accelerated monopole detector that is coupled non-linearly to the nth power of a quantum scalar field in (D+1)-dimensional flat spacetime. We show that, when (D+1) is even, the response of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Sriramkumar

A massive scalar field is quantized in the background of a cosmic string which is generalized to a static flux-carrying codimension-2 brane in the locally flat multidimensional space-time. We find that the finite energy-momentum tensor is…

High Energy Physics - Theory · Physics 2016-10-04 Yu. A. Sitenko , N. D. Vlasii

Fermionic condensate is investigated in $(D+1)$-dimensional de Sitter spacetime by using the cutoff function regularization. In order to fix the renormalization ambiguity for massive fields an additional condition is imposed, requiring the…

High Energy Physics - Theory · Physics 2021-12-01 A. A. Saharian , E. R. Bezerra de Mello , A. S. Kotanjyan , T. A. Petrosyan

In many cases a massive nonlinear scalar field can lead to accelerated expansion in cosmological models. This paper contains mathematical results on this subject for flat Robertson-Walker space-time. Global existence to the coupled…

Mathematical Physics · Physics 2013-09-03 Alexis Nangue

We investigate unitarily inequivalent representations of the algebra of operators in quantum field theory in the cases where there is a Fock representation of the commutation relations. We examine more closely the operational definition of…

High Energy Physics - Theory · Physics 2025-05-15 F. Sobrero , M. S. Soares , T. Guerreiro , N. F. Svaiter

Scalar fields in theories of gravity often inhabit a moduli space of vacua, and coherent spatial or temporal variations in their expectation values can produce measurable gravitational effects. Such variations are expected in contexts…

High Energy Physics - Theory · Physics 2025-12-30 Aidan Herderschee , Aron C. Wall

A major problem in the quantization of fields in curved spacetimes is the ambiguity in the choice of a Fock representation for the canonical commutation relations. There exists an infinite number of choices leading to different physical…

General Relativity and Quantum Cosmology · Physics 2011-08-24 Jerónimo Cortez , Guillermo A. Mena Marugán , Javier Olmedo , José M. Velhinho

The Wightman function i.e. vacuum two-point function, for a massless free scalar field in Fock quantization is inversely proportional to the invariant distance squared between the corresponding spacetime points. Naturally it diverges when…

General Relativity and Quantum Cosmology · Physics 2017-05-04 Golam Mortuza Hossain , Gopal Sardar