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This paper contains a detailed study of the properties of a simple model attempting to explain dark energy as originated from quantum fluctuations of a light spectator scalar field in inflation. In [1] we recently outlined how Starobinsky's…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Enis Belgacem , Tomislav Prokopec

We investigate infrared logarithms in de Sitter space from holographic perspective. We employ a gravitational Fokker-Planck equation to investigate the time evolution of the de Sitter entropy $S=\pi/(G_N H^2)$, where $H$ is the Hubble…

High Energy Physics - Theory · Physics 2020-11-30 Hiroyuki Kitamoto , Yoshihisa Kitazawa

Light scalars in inflationary spacetimes suffer from logarithmic infrared divergences at every order in perturbation theory. This corresponds to the scalar field values in different Hubble patches undergoing a random walk of quantum…

High Energy Physics - Theory · Physics 2020-10-22 Matthew Baumgart , Raman Sundrum

We adopt methods from statistical field theory to stochastic inflation. For the example of a free test field in de Sitter and power-law inflation, the power spectrum of long-wavelength fluctuations is computed. We study its dependence on…

General Relativity and Quantum Cosmology · Physics 2011-02-01 Florian Kuhnel , Dominik J. Schwarz

We study the two-point correlator of an O(N) scalar field with quartic self-coupling in de Sitter space. For light fields in units of the expansion rate, perturbation theory is plagued by large logarithmic terms for superhorizon momenta. We…

High Energy Physics - Theory · Physics 2015-06-16 Florian Gautier , Julien Serreau

The dynamical consequences of a bimetric scalar-tensor theory of gravity with a dynamical light speed are investigated in a cosmological setting. The model consists of a minimally-coupled self-gravitating scalar field coupled to ordinary…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. A. Clayton , J. W. Moffat

Classical electrodynamics is reformulated in terms of wave functions in the classical phase space of electrodynamics, following the Koopman-von Neumann-Sudarshan prescription for classical mechanics on Hilbert spaces {\em sans} the…

Quantum Physics · Physics 2014-11-25 A. K. Rajagopal , Partha Ghose

We study the possibility of realizing scale-separated type IIB Anti-de Sitter and de Sitter compactifications within a controlled effective field theory regime defined by low-energy and large (but scale-separated) compactification volume.…

High Energy Physics - Theory · Physics 2020-12-30 Maxim Emelin

A proper sequence of effective theories, corresponding to larger and larger distance scales, is crucial for analyzing real-time equilibrium physics in hot non-Abelian plasmas. For the study of color dynamics (by which I mean physics…

High Energy Physics - Phenomenology · Physics 2010-02-16 Peter Arnold

In this paper we study some thermal properties of quantum field theories in de Sitter space by means of holographic techniques. We focus on the static patch of de Sitter and assume that the quantum fields are in the standard Bunch-Davies…

High Energy Physics - Theory · Physics 2014-08-13 Willy Fischler , Phuc H. Nguyen , Juan F. Pedraza , Walter Tangarife

We study the classical dynamics of a particle in Snyder spacetime, adopting the formalism of constrained Hamiltonian systems introduced by Dirac. We show that the motion of a particle in a scalar potential is deformed with respect to…

High Energy Physics - Theory · Physics 2013-10-22 S. Mignemi

The semiclassically scaled time-dependent multi-particle Schr\"odinger equation describes, inter alia, quantum dynamics of nuclei in a molecule. It poses the combined computational challenges of high oscillations and high dimensions. This…

Numerical Analysis · Mathematics 2020-12-02 Caroline Lasser , Christian Lubich

Our understanding of quantum field theory rests largely on explicit and controlled calculations in perturbation theory. Because of this, much recent effort has been devoted to improve our grasp of perturbative techniques on cosmological…

High Energy Physics - Theory · Physics 2022-04-20 Aaron Hillman , Enrico Pajer

We propose a large class of nonsingular cosmologies of arbitrary spatial curvature whose cosmic history is determined by a primeval dynamical $\Lambda (t)$-term. For all values of the curvature, the models evolve between two extreme de…

General Relativity and Quantum Cosmology · Physics 2015-06-23 J. A. S. Lima , E. L. D. Perico , G. J. M. Zilioti

Scalar particles--i.e., scalar-field excitations--in de Sitter space exhibit behavior unlike either classical particles in expanding space or quantum particles in flat spacetime. Their energies oscillate forever, and their interactions are…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ian H. Redmount

We develop a Schr\"{o}dinger-picture formulation for a scalar quantum field driven by a Lorentz-invariant white-noise field. The quantum state of the system is described by a stochastic wave functional that evolves according to a stochastic…

Quantum Physics · Physics 2026-03-18 Pei Wang

Consistent quantum formalism based on the localized basis of the Wannirer functions in Heisenberg and Schrodinger pictures to describe propagation of electromagnetic field in a three dimensional media including diffraction is presented. In…

Quantum Physics · Physics 2015-06-26 V. N. Gorbachev , A. I. Zhiliba

We study the infrared (large separation) behavior of a massless minimally coupled scalar quantum field theory with a quartic self interaction in de Sitter spacetime. We show that the perturbation series in the interaction strength is…

General Relativity and Quantum Cosmology · Physics 2014-08-08 Ahmed Youssef , Dirk Kreimer

The gravitational evolution of scale free initial spectra $P(k)\propto k^n$ in an Einstein-de Sitter universe is widely believed to be self-similar for $-3<n<4$. However, for $-3<n<-1$ the existence of self-similar scaling has not been…

Astrophysics · Physics 2009-10-28 Bhuvnesh Jain , Edmund Bertschinger

We consider quantum dynamics of systems with fast spatial modulation of the Hamiltonian. Employing the formalism of supersymmetric quantum mechanics and decoupling fast and slow spatial oscillations we demonstrate that the effective…

Quantum Physics · Physics 2019-04-10 Viktor Novičenko , Julius Ruseckas , Egidijus Anisimovas
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