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We present in this paper a covariant quantization of the ``massive'' vector field on de Sitter (dS) space based on analyticity in the complexified pseudo-Riemanian manifold. The correspondence between unitary irreducible representations of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J-P. Gazeau , M. V. Takook

Using tangent bundle geometry we construct an equivalent reformulation of classical field theory on flat spacetimes which simultaneously encodes the perspectives of multiple observers. Its generalization to curved spacetimes realizes a new…

High Energy Physics - Theory · Physics 2018-06-13 Mattias N. R. Wohlfarth

This paper deals thoroughly with the scalar and electromagnetic fields of uniformly accelerated charges in de Sitter spacetime. It gives details and makes various extensions of our Physical Review Letter from 2002. The basic properties of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Jiri Bicak , Pavel Krtous

We consider the massless minimally coupled scalar field in the de Sitter ambient space formalism as a gauge potential or connection field. We construct the scalar gauge theory by helping an arbitrary constant five-vector field $B^\alpha$…

High Energy Physics - Theory · Physics 2022-09-28 M. V. Takook

With the exception of gravitation, the known fundamental interactions of Nature are mediated by gauge fields. A comparison of the candidate groups for a gauge theory possibly describing gravitation favours the Poincar\'e group as the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Aldrovandi , J. G. Pereira

The bosonization of a massless fermionic field coupled to both vector and axial-vector external sources is developed, following a path-integral approach. The resulting bosonized theory contains two antisymmetric tensor fields whose actions…

High Energy Physics - Theory · Physics 2009-10-30 C. D. Fosco , F. A. Schaposnik

Fock representations are constructed for a free scalar field in the closed and quasi-Euclidean isotropic cosmological models. Invariance of their cyclic vector (vacuum) under isometries and the correspondence principle single out a class of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , E. A. Tagirov

From the relativistic law of motion we attempt to deduce the field theories corresponding to the force law being linear and quadratic in 4-velocity of the particle. The linear law leads to the vector gauge theory which could be the abelian…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Parampreet Singh , Naresh Dadhich

On the basis of hypotheses, that a density of weakly interacting particles in the Universe has an order of nuclear matter density or more the Lagrangian is offered, through which one can be obtained a propagator of a vector boson with a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Valery Koryukin

We study some physical aspects of quantum field theory in a two stage universe starting from the inflationary de Sitter and transiting into the radiation dominated stage. We look into the time evolution of the primordial vacuum states,…

General Relativity and Quantum Cosmology · Physics 2024-04-05 Juan R. Salazar , Sujoy K. Modak

A quantum mechanical description of particle propagation on the discrete spacetime of a causal set is presented. The model involves a discrete path integral in which trajectories within the causal set are summed over to obtain a particle…

High Energy Physics - Theory · Physics 2008-11-26 Steven Johnston

Describing dynamics in a gravitational universe with positive cosmological constant, such as de Sitter space, is a conceptually challenging problem. We propose a principle for constructing a quantum system that can potentially be used to…

High Energy Physics - Theory · Physics 2026-05-07 Vladimir Narovlansky

We present a theory of quantized radiation fields described in terms of q-deformed harmonic oscillators. The creation and annihilation operators satisfy deformed commutation relations and the Fock space of states is constructed in this…

High Energy Physics - Theory · Physics 2007-05-23 P. Narayana Swamy

A vector-tensor theory of gravity that was introduced in an earlier publication is analyzed in detail and its consequences for early universe cosmology are examined. The multiple light cone structure of the theory generates different speeds…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. A. Clayton , J. W. Moffat

We study the dS/CFT duality between minimal type-A higher-spin gravity and the free Sp(2N) vector model. We consider the bulk spacetime as "elliptic" de Sitter space dS_4/Z_2, in which antipodal points have been identified. We apply a…

High Energy Physics - Theory · Physics 2020-06-30 Yasha Neiman

We employ the graviton self-energy induced by a massless, minimally coupled (MMC) scalar on de Sitter background to compute the quantum corrections to the gravitational potentials of a static point particle with a mass $M$. The…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Sohyun Park , Tomislav Prokopec , R. P. Woodard

We construct the space of vector fields on quantum groups . Its elements are products of the known left invariant vector fields with the elements of the quantum group itself. We also study the duality between vector fields and 1-forms. The…

High Energy Physics - Theory · Physics 2007-05-23 P. Aschieri

A local quantum bosonic model on a lattice is constructed whose low energy excitations are gravitons described by linearized Einstein action. Thus the bosonic model is a quantum theory of gravity, at least at the linear level. We find that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zheng-Cheng Gu , Xiao-Gang Wen

We consider homogeneous abelian vector fields in an expanding universe. We find a mechanical analogy in which the system behaves as a particle moving in three dimensions under the action of a central potential. In the case of bounded and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 J. A. R. Cembranos , C. Hallabrin , A. L. Maroto , S. J. Núñez Jareño

The Maxwell equations for the electromagnetic potential, supplemented by the Lorenz gauge condition, are decoupled and solved exactly in de Sitter space-time studied in static spherical coordinates. There is no source besides the…

General Relativity and Quantum Cosmology · Physics 2009-12-17 Donato Bini , Giampiero Esposito , Roberto Valentino Montaquila
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