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Complex Scalar Fields in Scalar-Tensor and Scalar-Torsion Theories
Modern Physics Letters A, 2022 In this paper, we investigate the cosmological dynamics in a spatially flat Friedmann–Lemaître–Robertson–Walker geometry in scalar-tensor and scalar-torsion theories where the nonminimally coupled scalar field is a complex field. We derive the cosmological field equations and we make use of dimensionless variables in order to determine the stationary ...
Andronikos Paliathanasis
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Scalar perturbations in scalar field quantum cosmology [PDF]
Physical Review D, 2009 In this paper it is shown how to obtain the simplest equations for the Mukhanov-Sasaki variables describing quantum linear scalar perturbations in the case of scalar fields without potential term. This was done through the implementation of canonical transformations at the classical level, and unitary transformations at the quantum level, without ever ...
Falciano, F. T., Pinto-Neto, Nelson
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Renormalization for a Scalar Field in an External Scalar Potential [PDF]
Symmetry, 2018 The Pauli–Villars regularization procedure confirms and sharpens the conclusions reached previously by covariant point splitting. The divergences in the stress tensor of a quantized scalar field interacting with a static scalar potential are isolated into a three-parameter local, covariant functional of the background potential.
Stephen A. Fulling +2 more
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Tachyons, scalar fields, and cosmology [PDF]
Physical Review D, 2004 We study the role that tachyon fields may play in cosmology as compared to the well-established use of minimally coupled scalar fields. We first elaborate on a kind of correspondence existing between tachyons and minimally coupled scalar fields; corresponding theories give rise to the same cosmological evolution for a particular choice of the initial ...
V. Gorini +3 more
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Symmetry in Scalar Field Topology [PDF]
IEEE Transactions on Visualization and Computer Graphics, 2011 Study of symmetric or repeating patterns in scalar fields is important in scientific data analysis because it gives deep insights into the properties of the underlying phenomenon. Though geometric symmetry has been well studied within areas like shape processing, identifying symmetry in scalar fields has remained largely unexplored due to the high ...
Thomas, Dilip Mathew, Natarajan, Vijay
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Viable constraint on scalar field in scalar–tensor theory [PDF]
Classical and Quantum Gravity, 2020 Abstract The scalar–tensor theory can be formulated in both Jordan and Einstein frames, which are conformally related together with a redefinition of the scalar field. As the solution to the equation of the scalar field in the Jordan frame does not have the one-to-one correspondence with that in the Einstein frame,
Chao-Qiang Geng +2 more
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Differences between scalar field and scalar density field solutions [PDF]
Canadian Journal of Physics, 2012 Differences between scalar field and scalar density solutions are explored using a Robertson–Walker (RW) metric, and a nonrelativistic Hamiltonian is derived for a scalar density field in the post-newtonian approximation. The results are compared with those of a scalar field.
Pirinççiog˜lu N., Sert I.
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Physics Letters B, 2018 Nous obtenons un sous-groupe du groupe d'isométrie de pAdS (une version p-adique de AdS alternative à l'arbre Bruhat–Tits). Nous proposons un candidat pour l'action en vrac scalaire et l'équation de mouvement sur pAdS, et élaborons des expressions analytiques des fonctions du Vert pour un choix particulier de paramètre avec un ansatz pour les cas ...
Feng Qu, Yi-hong Gao
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Journal of Mathematical Physics, 1996 Static spherically symmetric uncoupled scalar space–times have no event horizon and a divergent Kretschmann singularity at the origin of the coordinates. The singularity is always present so that nonstatic solutions have been sought to see if the singularities can develop from an initially singular free space–time.
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Nontrivial directions for scalar fields [PDF]
Physical Review D, 1996 UUencoded LaTex, 15 pages + 3 postscript ...
Halpern, Ken, Huang, Kerson
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