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Related papers: Fermion Propagator in Cosmological Spaces with Con…

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We study a system of fermions interacting with a scalar field, in 4+1 dimensions where the 5th dimension is compactified, using an exact functional method, where quantum fluctuations are controlled by the amplitude of the bare fermion mass.…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jean Alexandre , Konstantinos Farakos

We discuss massive scalar field with conformal coupling in Friedmann-Robertson-Walker (FRW) Universe of special type with constant electromagnetic field. Treating an external gravitational-electromagnetic background exactly, at first time…

High Energy Physics - Theory · Physics 2009-09-17 S. P. Gavrilov , D. M. Gitman , S. D. Odintsov

Free fermions in disguise (FFD) Hamiltonians describe spin chains which can be mapped to free fermions, but not via a Jordan-Wigner transformation. Although the mapping gives access to the full Hamiltonian spectrum, the computation of spin…

Statistical Mechanics · Physics 2026-01-06 Eric Vernier , Lorenzo Piroli

We build a statistical description of fermions, taking into account the spin degree of freedom in addition to the momentum of particles, and we detail its use in the context of the kinetic theory of gases of fermions particles. We show that…

Statistical Mechanics · Physics 2017-06-21 Christian Fidler , Cyril Pitrou

We provide a novel mechanism that resolves the Big Bang Singularity present in FRW space-times without the need for ghost fields. Building on the fact that a four-fermion interaction arises in General Relativity when fermions are…

High Energy Physics - Theory · Physics 2009-09-02 Stephon Alexander , Tirthabir Biswas

Within the framework of adiabatic regularization, we present a simple formalism to calculate number density and renormalized energy-momentum density of spin 1/2 particles in spatially flat FLRW spacetimes using an appropriate WKB ansatz for…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Suman Ghosh

New spherical scalar modes on the expanding part of Sitter spacetime, eigenfunctions of a conserved Hamiltonian-like operator are found by solving the Klein-Gordon equation in the appropriate coordinate chart, with the help of a time…

General Relativity and Quantum Cosmology · Physics 2012-09-24 Gabriel Pascu

The linearized Einstein field equations provide a low-energy wave equation for the propagation of gravitational fields which may originate from a high energy source. Motivated by loop quantum gravity, we propose the polymer quantization…

General Relativity and Quantum Cosmology · Physics 2021-05-05 Angel Garcia-Chung , James B. Mertens , Saeed Rastgoo , Yaser Tavakoli , Paulo Vargas Moniz

We solve the equations of motion for a scalar field with domain wall boundary conditions in a Friedmann-Robertson-Walker (FRW) spacetime. We find (in agreement with Basu and Vilenkin) that no domain wall solutions exist in de Sitter…

High Energy Physics - Phenomenology · Physics 2011-07-19 D. Boyanovsky , David E. Brahm , A. Gonzalez-Ruiz , R. Holman , F. I. Takakura

We determine corrections to the Hubble rate due to graviton loops in a cosmological background spacetime of constant deceleration parameter. The corrections are gauge-invariant, based on a recent proposal for all-order gauge-invariant…

General Relativity and Quantum Cosmology · Physics 2019-04-15 Markus B. Fröb

Fermion production in an external Coulomb field on de Sitter expanding universe is studied. The amplitude and probability of pair production in an external Coulomb field are computed and the cases of large/small values of the expansion…

General Relativity and Quantum Cosmology · Physics 2013-07-04 Crucean Cosmin

It has been proposed several times in the past that one can obtain an equivalent, but in many aspects simpler description of fermions by first reformulating their first-order (Dirac) Lagrangian in terms of two-component spinors, and then…

High Energy Physics - Theory · Physics 2015-09-22 Johnny Espin

The activation gap $\Delta$ of the fractional quantum Hall states at constant fillings $\nu =2/3$ and 2/5 has been measured as a function of the perpendicular magnetic field $B$. A linear dependence of $\Delta$ on $B$ is observed while…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Schulze-Wischeler , E. Mariani , F. Hohls , R. J. Haug

In this paper, we explore the field propagator with a structure that is general enough to encompass both the case of newly-defined mass-dimension $1$ fermions and spin-$1/2$ bosons. The method we employ is to define a map between spinors of…

General Physics · Physics 2023-06-21 Rodolfo José Bueno Rogerio , Luca Fabbri

We consider self-gravitating Skyrmions in the presence of Dirac fermions, that carry spin and isospin. By varying the gravitational and the Yukawa coupling constants, we investigate the spectral flow of the fermion eigenvalue associated…

High Energy Physics - Theory · Physics 2024-07-26 Vladimir Dzhunushaliev , Vladimir Folomeev , Jutta Kunz , Yakov Shnir

We calculate one loop corrections to the domain-wall quark propagator in QCD. We show how the wave function is renormalized in this theory. Especially we are interested in the behavior of the massless fermion mode, which exists near the…

High Energy Physics - Lattice · Physics 2009-10-30 S. Aoki , Y. Taniguchi

For a 4-dimensional spatially-flat Friedmann-Robertson-Walker universe with a scalar field $\phi(x)$, potential $V(\phi)$ and constant equation of state $w=p/\rho$, we show that an expanding solution characterized by $\epsilon=3(1+w)/2$…

High Energy Physics - Theory · Physics 2009-09-15 Latham A. Boyle , Paul J. Steinhardt , Neil Turok

We accurately approximate the contribution of a Yukawa-coupled fermion to the inflaton effective potential for inflationary geometries with a general first slow roll parameter $\epsilon(t)$. For $\epsilon = 0$ our final result agrees with…

General Relativity and Quantum Cosmology · Physics 2021-06-30 A. Sivasankaran , R. P. Woodard

We consider the theory of spinor fields written in polar form, that is the form in which the spinor components are given in terms of a module times a complex unitary phase respecting Lorentz covariance. In this formalism, spinors can be…

General Physics · Physics 2021-06-01 Flora Moulin , Luca Fabbri , Aurélien Barrau

In this proceeding contribution we report on the ongoing effort to simulate Wilson-type fermions in the so called epsilon regime of chiral perturbation theory. We present results for the chiral condensate and the pseudoscalar decay constant…

High Energy Physics - Lattice · Physics 2010-11-05 K. Jansen , A. Shindler