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This work deals with braneworld scenarios driven by real scalar fields with standard dynamics. We show how the first-order formalism which exists in the case of four dimensional Minkowski space-time can be extended to de Sitter or anti-de…

High Energy Physics - Theory · Physics 2009-11-11 D. Bazeia , F. A. Brito , L. Losano

We use the one loop vacuum polarization induced by scalar quantum electrodynamics to compute the electric and magnetic fields of point charges and magnetic dipoles on a locally de Sitter background. Our results are consistent with the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 H. Degueldre , R. P. Woodard

We study the two-dimensional version of a quartic self-interacting quantum scalar field on a curved and noncommutative space (Snyder-de Sitter). We show that the model is renormalizable at the one-loop level and compute the beta functions…

High Energy Physics - Theory · Physics 2022-07-20 S. A. Franchino-Viñas , S. Mignemi

Motivated by supersymmetry methods in general relativity, we study four-dimensional Lorentzian space-times with a complex Dirac spinor field satisfying a Killing-spinor-like equation where the Killing constant is promoted to a complex…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Bernardo Araneda , Ángel J. Murcia

We study the phi^4 scalar field theory in de Sitter space using the 2PI effective action formalism. This formalism enables us to investigate the nonperturbative quantum effects. We use the mean field and gap equations and calculate the…

High Energy Physics - Theory · Physics 2012-10-16 Takashi Arai

We propose an ansatz which solves the Dyson-Schwinger equation for the real scalar fields in Poincare patch of de Sitter space in the IR limit. The Dyson-Schwinger equation for this ansatz reduces to the kinetic equation, if one considers…

High Energy Physics - Theory · Physics 2013-05-30 E. T. Akhmedov , Ph. Burda

We consider the wave equation for spinors in ${\cal D}$-dimensional Weyl geometry. By appropriately coupling the Weyl vector $\phi _{\mu}$ as well as the spin connection $\omega _{\mu a b } $ to the spinor field, conformal invariance can be…

High Energy Physics - Theory · Physics 2009-10-30 A. H. Fariborz , D. G. C. McKeon

The spinor representation of the Lorentz group does not accept simple generalization with the group GL(4,R) of general linear coordinate transformations. The Dirac equation may be written for an arbitrary choice of a coordinate system and a…

Mathematical Physics · Physics 2007-05-23 Alexander Yu. Vlasov

Scalar fields appear in many theories beyond the Standard Model of particle physics. In the early universe, they are exposed to extreme conditions, including high temperature and rapid cosmic expansion. Understanding their behavior in this…

High Energy Physics - Phenomenology · Physics 2015-08-21 Yeuk-Kwan E. Cheung , Marco Drewes , Jin U Kang , Jong Chol Kim

We discuss several aspects of quantum field theory of a scalar field in a Friedmann universe, clarifying and highlighting several conceptual and technical issues. (A) We show that one can map the dynamics of (1) a massless scalar field in a…

General Relativity and Quantum Cosmology · Physics 2019-01-17 Kinjalk Lochan , Karthik Rajeev , Amit Vikram , T. Padmanabhan

We study an integral representation for the zeta function of the one-loop effective potential for a minimally coupled massive scalar field in D-dimensional de Sitter spacetime. By deforming the contour of integration we present it in a form…

High Energy Physics - Theory · Physics 2009-10-30 Alan Chodos , Andras Kaiser

We present a gauged twistor model of a free massive spinning particle in four-dimensional Minkowski space. This model is governed by an action, referred to here as the gauged generalized Shirafuji (GGS) action, that consists of twistor…

High Energy Physics - Theory · Physics 2016-04-19 Shinichi Deguchi , Satoshi Okano

We derive covariant expressions for the one loop vacuum polarization induced by a charged scalar on de Sitter background. Two forms are employed: one in which two covariant derivatives act on de Sitter invariant basis tensors multiplied by…

General Relativity and Quantum Cosmology · Physics 2013-03-14 Katie E. Leonard , T. Prokopec , R. P. Woodard

We show how the equations for the scalar field (including the massive, massless, minimally and conformally coupled cases) on de Sitter and Anti-de Sitter spaces can be obtained from both the SO$(2,4)$-invariant equation $\square \phi = 0$…

General Relativity and Quantum Cosmology · Physics 2020-08-11 E. Huguet , J. Queva , J. Renaud

Beyond standard model (BSM) particles should be included in effective field theory in order to compute the scattering amplitudes involving these extra particles. We formulate an extension of Higgs effective field theory which contains…

High Energy Physics - Phenomenology · Physics 2021-07-07 Ryo Nagai , Masaharu Tanabashi , Koji Tsumura , Yoshiki Uchida

We investigate scalar field theories in de Sitter space by means of nonperturbative renormalization group techniques. We compute the functional flow equation for the effective potential of O(N) theories in the local potential approximation…

High Energy Physics - Theory · Physics 2015-10-14 Maxime Guilleux , Julien Serreau

One of us got spins and charges of not only scalars and vectors but also of spinors out of fields, which are antisymmetric tensor fields. Kahler got spins of spinors out of differential forms, which again are antisymmetric tensor fields.…

High Energy Physics - Theory · Physics 2007-05-23 Norma Mankoc Borstnik , Holger Bech Nielsen

The complete solution to the massive Rarita-Schwinger field equation in anti-de Sitter space is constructed, and used in the AdS/CFT correspondence to calculate the correlators for the boundary conformal field theory. It is found that when…

High Energy Physics - Theory · Physics 2009-10-31 P. Matlock , K. S. Viswanathan

We consider derivation of the effective potential for a scalar field in curved space-time within the physical regularization scheme, using two sorts of covariant cut-off regularizations. The first one is based on the local momentum…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Flavia Sobreira , Baltazar J. Ribeiro , Ilya L. Shapiro

We consider a five-dimensional Einstein--Cartan spacetime upon which Dirac spinor fields can be defined. Dirac spinor fields in five and four dimensions share many features, like the fact that both are described by four-component spinor…

General Relativity and Quantum Cosmology · Physics 2018-12-31 Stefano Vignolo , Luca Fabbri , Oscar Castillo-Felisola
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