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We construct a Dirac equation that is consistent with one of the recently-proposed schemes for a "doubly-special relativity", a relativity with both an observer-independent velocity scale (still naturally identified with the speed-of-light…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Alessandra Agostini , Giovanni Amelino-Camelia , Michele Arzano

The eigenspinor approach uses the classical amplitude of the algebraic Lorentz rotation connecting the lab and rest frames to study the relativistic motion of particles. It suggests a simple covariant extension of the common definition of…

Classical Physics · Physics 2007-05-23 William E. Baylis

In this letter, cosmology of a simple NMDC gravity with $\xi R \phi_{,\mu}\phi^{,\mu}$ term and a free kinetic term is considered in flat geometry and in presence of dust matter. A logarithm field transformation $\phi' = \mu \ln \phi$ is…

General Relativity and Quantum Cosmology · Physics 2017-08-22 Burin Gumjudpai , Yuttana Jawralee , Narakorn Kaewkhao

After a review of the existing theory of non-inertial frames and mathematical observers in Minkowski space-time we give the explicit expression of a family of such frames obtained from the inertial ones by means of point-dependent Lorentz…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Horace W. Crater , Luca Lusanna

The dynamics of typical phase transitions is studied out of equilibrium in weakly coupled inflaton-type scalar field theories in Minkowski space. The shortcomings of the effective potential and equilibrium descriptions are pointed out. A…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Boyanovsky , H. J. de Vega , R. Holman

We study a quantum scalar field, with general mass and coupling to the scalar curvature, propagating on three-dimensional global anti-de Sitter space-time. We determine the vacuum and thermal expectation values of the square of the field,…

High Energy Physics - Theory · Physics 2023-08-21 Sivakumar Namasivayam , Elizabeth Winstanley

We discuss scalar quantum field theories in a Lorentz-invariant three-dimensional noncommutative space-time. We first analyze the one-loop diagrams of the two-point functions, and show that the non-planar diagrams are finite and have…

High Energy Physics - Theory · Physics 2014-11-18 Shin'ichi Imai , Naoki Sasakura

We study the evolution of a two dimensional minisuperspace cosmological model in classical and quantum levels by the Noether symmetry approach. The phase space variables turn out to correspond to the scale factor of a…

General Relativity and Quantum Cosmology · Physics 2012-01-23 Babak Vakili , Farhad Khazaie

Using the language of differential forms, the Kaluza-Klein theory in 4+1 dimensions is derived. This theory unifies electromagnetic and gravitational interactions in four dimensions when the extra space dimension is compactified. Without…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ingunn Kathrine Wehus , Finn Ravndal

The presence of scalar fields with non-minimal gravitational interactions of the form $\xi |\phi|^2 R$ may have important implications for the physics of the early universe. While many studies solve the dynamics of non-minimally coupled…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-09 Daniel G. Figueroa , Adrien Florio , Toby Opferkuch , Ben A. Stefanek

We investigate the phase-space of a flat FRW universe including both a scalar field, $\phi,$ coupled to matter, and radiation. The model is inspired in scalar-tensor theories of gravity, and thus, related with $F(R)$ theories through…

General Relativity and Quantum Cosmology · Physics 2010-09-06 Genly Leon , Pavel Silveira , Carlos R. Fadragas

We study the scalar curvature of spacelike hypersurfaces in the family of cosmological models known as generalized Robertson-Walker spacetimes, and give several rigidity results under appropriate mathematical and physical assumptions. On…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Juan A. Aledo , Rafael M. Rubio

We derive the response function for a comoving, pointlike Unruh-DeWitt particle detector coupled to a complex scalar field $\phi$, in the $(3+1)$-dimensional cosmological de Sitter spacetime. The field-detector coupling is taken to be…

High Energy Physics - Theory · Physics 2021-02-19 Md. Sabir Ali , Sourav Bhattacharya , Kinjalk Lochan

A new method for computing exact conformal partial wave expansions is developed and applied to approach the problem of Hilbert space (Wightman) positivity in a non-perturbative four-dimensional quantum field theory model. The model is based…

High Energy Physics - Theory · Physics 2007-05-23 N. M. Nikolov , K. -H. Rehren , I. T. Todorov

Frequency domain studies have recently demonstrated that charged scalar fields exhibit fast growing superradiant instabilities when interacting with charged black holes in a cavity. Here, we present a time domain analysis of the long time…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Juan Carlos Degollado , Carlos A. R. Herdeiro

We consider scalar and spinor particles in the spacetime of a domain wall in the context of low energy effective string theories, such as the generalized scalar-tensor gravity theories. This class of theories allows for an arbitrary…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. B. Bezerra , L. P. Colatto , M. E. X. Guimaraes , e R. M. Teixeira Filho

Hybrid metric-Palatini gravity unifies the metric and Palatini formalisms while preserving a propagating scalar degree of freedom, offering a compelling route to modified gravity consistent with current observations. Motivated by this…

General Relativity and Quantum Cosmology · Physics 2026-03-26 David S. Pereira , Salvatore Capozziello , Francisco S. N Lobo , José Pedro Mimoso

A new interpretation of Dirac singletons \cite{Dirac:1963ta}, i.e. free conformal fields in $d$ dimensions, as relativistic fields in a $d+1$-dimensional space-time with cosmological constant, that differs from the Flato-Fronsdal dipole…

High Energy Physics - Theory · Physics 2025-05-23 M. A. Vasiliev

In Schwarzschild spacetime, the gravitational spin-orbit couplings of the massless Dirac field and the photon field can be studied in a unified way. In contrary to the previous investigations presented mainly at the quantum-mechanical…

General Relativity and Quantum Cosmology · Physics 2014-12-12 Zhi-Yong Wang

Using the methods developed by Fewster and colleagues, we derive a quantum inequality for the free massive spin-${3\over 2}$ Rarita-Schwinger fields in the four dimensional Minkowski spacetime. Our quantum inequality bound for the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Hongwei Yu , Puxun Wu