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In this review, we investigate the question of backreaction in different approaches to cosmological perturbation theory, and with a special focus on quantum theoretical aspects. By backreaction, we refer here to the effects of matter field…

General Relativity and Quantum Cosmology · Physics 2021-07-29 S. Schander , T. Thiemann

We study the quatum to classical transition process in the context of quantum field theory. Extending the influence functional formalism of Feynman and Vernon, we study the decoherence process for self-interacting quantum fields in flat…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Fernando C. Lombardo

In order to evaluate the Feynman path integral in noncommutative quantum mechanics, we consider properties of a Lagrangian related to a quadratic Hamiltonian with noncommutative spatial coordinates. A quantum-mechanical system with…

High Energy Physics - Theory · Physics 2007-05-23 Branko Dragovich , Zoran Rakic

We modify the propagation for the quarks and gluons, with that we have finite results, without ultra violet divergence in perturbed interaction of the quarks and gluons, this makes it easily for the interaction renormalization, like the…

General Physics · Physics 2016-04-21 Malik Matwi

In present work, we discuss the effect of Coulomb interaction to the dynamics of two-particle system bound in various traps. The strategy of including Coulomb interaction into the quantization condition of trapped system is discussed in a…

Nuclear Theory · Physics 2021-06-23 Peng Guo

We discuss quantum deformations of Lie algebra as described by the noncoassociative modification of its coalgebra structure. We consider for simplicity the quantum $D=1$ Galilei algebra with four generators: energy $H$, boost $B$, momentum…

High Energy Physics - Theory · Physics 2009-10-30 Jerzy Lukierski , Peter C. Stichel

I review the formalism, Feynman rules, and combinatorics that constrain a field to propagate ``classically", strictly in tree diagrams, either by itself, or interacting with other, purely quantum fields. The perturbation theory is…

High Energy Physics - Theory · Physics 2026-02-03 Dimitrios Metaxas

The exact solutions for linear cosmological perturbations which have been obtained for collisionless relativistic matter within thermal field theory are extended to a self-interacting case. The two-loop contributions of scalar…

General Relativity and Quantum Cosmology · Physics 2009-12-30 H. Nachbagauer , A. K. Rebhan , D. J. Schwarz

In this paper we consider self interacting scalar quantum field theories over a $d$ dimensional Minkowski spacetime with various interaction Lagrangians which are suitable functions of the field. The interacting field observables are…

Mathematical Physics · Physics 2025-02-21 Nicola Pinamonti

Consistent interactions that can be added to a two-dimensional, free abelian gauge theory comprising a special class of BF-type models and a collection of vector fields are constructed from the deformation of the solution to the master…

High Energy Physics - Theory · Physics 2007-05-23 E. M. Cioroianu , S. C. Sararu

We present the quantum field description of Galilean electrodynamics minimally coupled to massless Galilean fermion in (3 + 1) dimensions. At the classical level, the Lagrangian is obtained as a null reduction of a relativistic theory in…

High Energy Physics - Theory · Physics 2022-08-09 Kinjal Banerjee , Aditya Sharma

Based on the most general principles of reality, gauge and reparametrization invariance, a problem of constructing the action describing dynamics of a classical color-charged particle interacting with background non-Abelian gauge and…

High Energy Physics - Theory · Physics 2014-11-20 Yuri A. Markov , Margaret A. Markova , Alexey A. Shishmarev

The observed small, positive cosmological constant may originate from a four-fermion interaction generated by the spin-torsion coupling in the Einstein-Cartan-Sciama-Kibble gravity if the fermions are condensing. In particular, such a…

General Relativity and Quantum Cosmology · Physics 2012-02-28 Nikodem J. Poplawski

The semiclassical interaction of the gravitational with a quantum scalar field is considered, in view of the renormalizability of the associated energy-momentum tensor in a n-dimensional curved spacetime resulting from a quadratic…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Kostas Kleidis

The functional formulation and one-loop effective action for scalar self-interacting theory non-linearly coupled with some power of the curvature are studied. After the explicit one-loop renormalization at weak curvature, we investigated…

General Relativity and Quantum Cosmology · Physics 2009-09-17 T. Inagaki , S. Nojiri , S. D. Odintsov

Decoherence in quantum cosmology is shown to occur naturally in the presence of induced geometric gauge interactions associated with particle production.A new 'gauge '-variant form of the semiclassical Einstein equations is also presented…

General Relativity and Quantum Cosmology · Physics 2011-08-04 Dhurjati Prasad Datta

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

We have recently proposed a novel self tuning mechanism to alleviate the famous cosmological constant problem, based on the general scalar tensor theory proposed by Horndeski. The self-tuning model ends up consisting of four geometric terms…

High Energy Physics - Theory · Physics 2015-06-11 Edmund J. Copeland , Antonio Padilla , Paul M. Saffin

An heuristic semiclassical procedure that incorporates quantum gravity induced corrections in the description of photons and spin 1/2 fermions is reviewed. Such modifications are calculated in the framework of loop quantum gravity and they…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Luis Urrutia

We consider the covariant galileon gravity taking into account the third order and fourth order scalar field Lagrangians L_3(\pi) and L_4(\pi) consisting of three and four $\pi$'s with four and five derivatives acting on them respectively.…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Radouane Gannouji , M. Sami