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We study the effects of asymptotically anti-de Sitter wormholes in low-energy field theory and give a general prescription for obtaining the local effective interaction terms induced by them. The choice of vacuum for the matter fields…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Carlos Barcelo , Luis J. Garay

We investigate the matter-antimatter properties of elementary systems, modeled as free quantum fields, within the global structure of de Sitter spacetime. By leveraging the distinctive causal and analytic properties of de Sitter spacetime,…

General Relativity and Quantum Cosmology · Physics 2024-12-06 Jean-Pierre Gazeau , Hamed Pejhan

By using the 3+1 point of view and parametrized Minkowski theories we develop the theory of {\it non-inertial} frames in Minkowski space-time. The transition from a non-inertial frame to another one is a gauge transformation connecting the…

General Relativity and Quantum Cosmology · Physics 2010-03-26 David Alba , Luca Lusanna

In this work we propose an alternative description of the quantum mechanics of a massive and spinning free particle in anti-de~Sitter spacetime, using a phase space rather than a spacetime representation. The regularizing character of the…

High Energy Physics - Theory · Physics 2009-10-22 A. M. El Gradechi , S. De Bièvre

We propose that particles are associated both with localized macroscopic states at point vertices and with extended microscopic states at all vacuum points. The self-fields screen the microscopic particle currents everywhere except at the…

General Physics · Physics 2007-05-23 I. E. Bulyzhenkov

We investigate scalar particle creation in a set of bouncing models where the bounce occurs due to quantum cosmological effects described by the Wheeler-DeWitt equation. The scalar field can be either conformally or minimally coupled to…

General Relativity and Quantum Cosmology · Physics 2017-02-03 Diogo C. F. Celani , Nelson Pinto-Neto , Sandro D. P. Vitenti

We study particle decay in de Sitter space-time as given by first order perturbation theory in a Lagrangian interacting quantum field theory. We study in detail the adiabatic limit of the perturbative amplitude and compute the "phase space"…

High Energy Physics - Theory · Physics 2014-11-18 Jacques Bros , Henri Epstein , Ugo Moschella

We compute the vacuum polarization for a massless, conformally coupled scalar field on the covering space of global, four-dimensional, anti-de Sitter space-time. Since anti-de Sitter space is not globally hyperbolic, boundary conditions…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Thomas Morley , Peter Taylor , Elizabeth Winstanley

We extend our analysis for scalar fields in a Robertson-Walker metric to the electromagnetic field and Dirac fields by the method of invariants. The issue of the relation between conformal properties and particle production is re-examined…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Finelli , A. Gruppuso , G. Venturi

The theory of particle scattering is concerned with transition amplitudes between states that belong to unitary representations of the Poincar\'e group. The latter acts as the isometry group of Minkowski spacetime $\mathbb{M}$, making…

High Energy Physics - Theory · Physics 2025-03-18 Kevin Nguyen

We construct the graviton two-point function for a two-parameter family of linear covariant gauges in n-dimensional de Sitter space. The construction is performed via the mode-sum method in the Bunch-Davies vacuum in the Poincar\'e patch,…

General Relativity and Quantum Cosmology · Physics 2016-06-03 Markus B. Fröb , Atsushi Higuchi , William C. C. Lima

We discuss the conditions under which identical particles may yet be distinguishable and the relationship between particle permutation and exchange. We show that we can always define permutation-symmetric state vectors. When the particles…

Quantum Physics · Physics 2007-05-23 Michael J. York

It is known that no length or time measurements are possible in sub-Planckian regions of spacetime. The Volovich hypothesis postulates that the micro-geometry of spacetime may therefore be assumed to be non-archimedean. In this letter, the…

Mathematical Physics · Physics 2009-10-20 V. S. Varadarajan , J. Virtanen

A class of free quantum fields defined on the Poincare' group, is described by means of their two-point vacuum expectation values. They are not equivalent to fields defined on the Minkowski spacetime and they are "elementary" in the sense…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. Toller

It is well known that compactifying a space can break symmetries that are present in the covering space. In this paper we study the effects of such topological symmetry breaking on point-particle motion when the particle is coupled to a…

High Energy Physics - Theory · Physics 2015-05-11 Andrew Matas , Daniel Müller , Glenn Starkman

In this study, we construct a 1+1-dimensional, relativistic, free, complex scalar Quantum Field Theory on the noncommutative spacetime known as lightlike $\kappa$-Minkowski. The associated $\kappa$-Poincar\'e quantum group of isometries is…

High Energy Physics - Theory · Physics 2024-12-03 Giuseppe Fabiano , Flavio Mercati

Poincar\'e-invariant quantum field theories can be formulated on non-commutative planes if the coproduct on the Poincar\'e group is suitably deformed \cite{Dimitrijevic:2004rf, Chaichian:2004za}.(See also especially Oeckl…

High Energy Physics - Theory · Physics 2008-11-26 A. P. Balachandran , A. Pinzul , B. Qureshi

In this Letter we show that the vacuum polarization of quantum fields in an anti-de Sitter space naturally gives rise to a small but nonzero cosmological constant in a brane world living in it. To explain the extremely small ratio of mass…

High Energy Physics - Theory · Physics 2010-11-05 Li-Xin Li

The cosmological horizon has an associated entropy suggesting that it might encode a quantum mechanical system on its surface. This has motivated extending the principles of the anti-de Sitter (AdS) space/ conformal field theory (CFT)…

High Energy Physics - Theory · Physics 2024-07-22 S. E. Aguilar-Gutierrez

Minkowski spacetime is transitive under ordinary translations, a transformation that do not have matrix representations. The de Sitter spacetime, on the other hand, is transitive under a combination of translations and proper conformal…

General Relativity and Quantum Cosmology · Physics 2014-02-20 J. G. Pereira , A. C. Sampson , L. L. Savi