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We study the vacuum zero point energy associated to a scalar field with an arbitrary mass and conformal coupling in a dS background. Employing dimensional regularization scheme, we calculate the regularized zero point energy density,…

General Relativity and Quantum Cosmology · Physics 2023-09-25 Hassan Firouzjahi , Haidar Sheikhahmadi

In this paper we consider a massive self-interacting scalar quantum field in a Lorentz-violation scenario based on a Horava-Lifshitz model. Specifically, we investigate the vacuum energy density and its loop correction, up to first order in…

High Energy Physics - Theory · Physics 2025-05-09 A. J. D. Farias Junior , E. R. Bezerra de Mello , Herondy Mota

The effect of quantum corrections to a conformally invariant field theory for a self-interacting scalar field on a curved manifold with boundary is considered. The analysis is most easily performed in a space of constant curvature the…

High Energy Physics - Theory · Physics 2009-10-31 George Tsoupros

The character of quantum corrections to the gravitational action of a conformally invariant field theory for a self-interacting scalar field on a manifold with boundary is considered at third loop-order in the perturbative expansion of the…

High Energy Physics - Theory · Physics 2009-11-07 George Tsoupros

We provide a formalism to calculate the cubic interaction vertices of the stable string bit model, in which string bits have $s$ spin degrees of freedom but no space to move. With the vertices, we obtain a formula for one-loop self-energy,…

High Energy Physics - Theory · Physics 2018-05-15 Gaoli Chen

We evaluate one loop quantum gravity corrections to the conformally coupled (CC) scalar self-mass-squared on a locally de Sitter background. In this paper we consider only the conformal-conformal interaction part of the self-mass-squared.…

General Relativity and Quantum Cosmology · Physics 2014-12-24 Sibel Boran , E. O. Kahya , Sohyun Park

In this paper the vacuum energy density and generation of topological mass are investigated for a system of a real and complex scalar fields interacting with each other. In addition to that, it is also included the quartic self-interaction…

High Energy Physics - Theory · Physics 2024-10-23 A. J. D. Farias Junior , A. Smirnov , Herondy F. Santana Mota , E. R. Bezerra de Mello

We consider the dynamics of a quantum scalar field in the background of a slow-roll inflating Universe. We compute the one-loop quantum corrections to the field and Friedmann equation of motion, in both a 1PI and a 2PI expansion, to leading…

High Energy Physics - Phenomenology · Physics 2015-06-18 Matti Herranen , Tommi Markkanen , Anders Tranberg

The effects of quantum corrections to a conformally invariant scalar field theory on a curved manifold of positive constant curvature with boundary are considered in the context of a renormalisation procedure. The renormalisation of the…

High Energy Physics - Theory · Physics 2014-11-18 George Tsoupros

We consider an infrared truncated massless minimally coupled scalar field with a quartic self-interaction in the locally de Sitter background of an inflating universe. We compute the two-point correlation function of the scalar at one and…

General Relativity and Quantum Cosmology · Physics 2015-06-03 V. K. Onemli

Electrodynamics for self-interacting scalar fields in spatially flat Friedmann-Robertson-Walker space-times is studied. The corresponding one-loop field equation for the expectation value of the complex scalar field in the conformal vacuum…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Giampiero Esposito , Gennaro Miele , Luigi Rosa , Pietro Santorelli

We study a self-interacting scalar field theory in the presence of a \delta-function background potential. The role of surface interactions in obtaining a renormalizable theory is stressed and demonstrated by a two-loop calculation. The…

High Energy Physics - Theory · Physics 2015-06-04 David J. Toms

We revisit the problem of spontaneous symmetry breaking (SSB), its restoration, and phase transition for a self interacting quantum scalar field in a general curved background, at zero and finite temperature. To the best of our knowledge,…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Vishal Nath , Sourav Bhattacharya

Nonlinearities in the dispersion relations associated with different interactions designs, boundary conditions and the existence of a physical cut-off scale can alter the quantum vacuum energy of a nonrelativistic system nontrivially. As a…

High Energy Physics - Theory · Physics 2024-01-08 Matthew Edmonds , Antonino Flachi , Marco Pasini

A four dimensional scalar field theory with quartic and of higher power interactions suffers the triviality issue at the quantum level. This is due to coupling constants that, contrary to the physical expectations, seem to grow without a…

High Energy Physics - Theory · Physics 2013-05-30 Artur R. Pietrykowski

We apply the decoherence formalism to an interacting scalar field theory. In the spirit of the decoherence literature, we consider a "system field" and an "environment field" that interact via a cubic coupling. We solve for the propagator…

High Energy Physics - Theory · Physics 2015-03-13 Jurjen F. Koksma , Tomislav Prokopec , Michael G. Schmidt

We consider an interacting theory of an infinite tower of massless higher-spin fields in flat space with cubic vertices and their coupling constants found previously by Metsaev. We compute the one-loop bubble diagram part of the self-energy…

High Energy Physics - Theory · Physics 2016-06-07 Dmitry Ponomarev , Arkady A. Tseytlin

We calculate one-loop quantum energies in a renormalizable self-interacting theory in one spatial dimension by summing the zero-point energies of small oscillations around a classical field configuration, which need not be a solution of the…

High Energy Physics - Theory · Physics 2009-10-31 N. Graham , R. L. Jaffe

Self-energies of a minimally coupled scalar field with quartic and trilinear interactions are calculated in a de Sitter background, using a position space propagator. For quartic interactions, we recover earlier results for the seagull…

High Energy Physics - Theory · Physics 2013-05-29 Bjorn Garbrecht , Gerasimos Rigopoulos

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
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