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In this paper, we show the equivalence between a classical static scalar field theory and the (closed) de Sitter cosmological model whose potential represents shape invariance property. Based on this equivalence, we calculate the one-loop…

General Relativity and Quantum Cosmology · Physics 2011-06-06 F. Darabi , S. Jalalzadeh

We present a method to calculate the One-loop mass correction to Kinks mass in a (1+1)-dimensional field theoretical model in which the fluctuation potential $V^{\prime\prime}(\phi_c)$ has shape invariance property. We use the generalized…

High Energy Physics - Theory · Physics 2008-05-08 S. Rafiei , S. Jalalzadeh , K. Ghafoori Tabrizi

A method for describing the quantum kink states in the semi-classical limit of several (1+1)-dimensional field theoretical models is developed. We use the generalized zeta function regularization method to compute the one-loop quantum…

High Energy Physics - Theory · Physics 2015-06-26 A. Alonso Izquierdo , W. Garcia Fuertes , M. A. Gonzalez Leon , J. Mateos Guilarte

In this paper we develop a procedure to compute the one-loop quantum correction to the kink masses in generic (1+1)-dimensional one-component scalar field theoretical models. The procedure uses the generalized zeta function regularization…

High Energy Physics - Theory · Physics 2011-08-25 Alberto Alonso-Izquierdo , Juan Mateos Guilarte

We consider the effective theory of perturbative quantum gravity coupled to a point particle, quantizing fluctuations of both the gravitational field and the particle's position around flat space. Using a recent relational approach to…

High Energy Physics - Theory · Physics 2022-02-02 M. B. Fröb , C. Rein , R. Verch

An one-parameter regularization freedom of the Hamiltonian constraint for loop quantum gravity is analyzed. The corresponding spatially flat, homogenous and isotropic model includes the two well-known models of loop quantum cosmology as…

General Relativity and Quantum Cosmology · Physics 2021-11-12 Xiangdong Zhang , Gaoping Long , Yongge Ma

The first-order loop quantum gravity correction of the simplest, classical general-relativistic Friedmann Hamiltonian constraint, emerging from a holomorphic spinfoam cosmological model peaked on homogeneous, isotropic geometries, is…

General Relativity and Quantum Cosmology · Physics 2015-07-02 Christian Röken

One-loop corrections to kink masses in a family of (1+1)-dimensional field theoretical models with two real scalar fields are computed. A generalized DHN formula applicable to potentials with and without reflection is obtained. It is shown…

High Energy Physics - Theory · Physics 2008-11-26 A. Alonso Izquierdo , W. Garcia Fuertes , M. A. Gonzalez Leon , J. Mateos Guilarte

We compute the one-loop quantum corrections to the gravitational potentials of a spinning point particle in a de Sitter background, due to the vacuum polarisation induced by conformal fields in an effective field theory approach. We…

High Energy Physics - Theory · Physics 2017-04-19 Markus B. Fröb , Enric Verdaguer

We compute the fully renormalized one-loop effective action for two interacting and self-interacting scalar fields in FRW space-time. We then derive and solve the quantum corrected equations of motion both for fields that dominate the…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Tommi Markkanen , Anders Tranberg

We evaluate quantum gravity corrections to the standard model Higgs potential $V(\phi)$ a la Coleman-Weinberg and examine the stability question of $V(\phi)$ at scales of Planck mass $M_{\rm Pl}$. We compute the gravity one-loop corrections…

High Energy Physics - Phenomenology · Physics 2019-02-27 Yugo Abe , Masaatsu Horikoshi , Takeo Inami

We study the quantum-gravitational corrections to the power spectrum of a gauge-invariant inflationary scalar perturbations in a closed model of a universe. We consider canonical quantum gravity as an approach to quantizing gravity. This…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Tatevik Vardanyan , Claus Kiefer

Standard perturbative quantum gravity formalism is applied to compute the lowest order corrections to the spatially flat cosmological FLRW solution governed by ordinary matter. The presented approach is analogous to the one used to compute…

General Relativity and Quantum Cosmology · Physics 2016-02-01 Bogusław Broda

We consider the k=1 Friedman-Lemaitre-Robertson-Walker (FLRW) model within loop quantum cosmology (LQC), from the perspective of the two available quantization prescriptions. We focus our attention on the existence of the so called `inverse…

General Relativity and Quantum Cosmology · Physics 2016-04-28 Alejandro Corichi , Asieh Karami

Quantum gravity corrections to the behavior of matter, such as Higgs bosons and fermions, are notoriously difficult to calculate. The standard tools of quantum field theory often break down, producing infinite results that spoil our…

General Physics · Physics 2025-09-22 Sebastián Alí Sacasa-Céspedes

We compute the one-loop quantum corrections to the potential of ghost-free massive gravity. We show how the mass of external matter fields contribute to the running of the cosmological constant, but do not change the ghost-free structure of…

High Energy Physics - Theory · Physics 2013-11-13 Claudia de Rham , Lavinia Heisenberg , Raquel H. Ribeiro

We study FLRW cosmology, taking into account quantum gravitational corrections in the formalism of the exact renormalization group flow of the effective action for gravity. We calculate the quantum corrected scale factor, energy density,…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Rituparna Mandal , Sunandan Gangopadhyay , Amitabha Lahiri

A method to regularize and renormalize the fluctuations of a quantum field in a curved background in the $\zeta$-function approach is presented. The method produces finite quantities directly and finite scale-parametrized counterterms at…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Valter Moretti , Devis Iellici

We present an analytic result for the 1-loop quantum mass correction in semiclassical quantization for the twisted \phi^4 kink on S^1 without explicit knowledge of the fluctuation spectrum. For this purpose we use the contour integral…

High Energy Physics - Theory · Physics 2012-10-02 Michael Pawellek

We solve the quantum constraint equations of the Lemaitre-Tolman-Bondi model in a semiclassical approximation in which an expansion is performed with respect to the Planck length. We recover in this way the standard expression for the…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Rabin Banerjee , Claus Kiefer , Bibhas Ranjan Majhi
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