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We compute the one-loop renormalization group equations for Standard Model Higgs inflation. The calculation is done in the Einstein frame, using a covariant formalism for the multi-field system. All counterterms, and thus the betafunctions,…

高能物理 - 理论 · 物理学 2016-04-20 Damien P. George , Sander Mooij , Marieke Postma

The standard field-theoretical approach to the slow-roll inflation is introduced. We then show as, in order to calculate the mean square of the canonical gauge invariant quantum fluctuations associated to a generic field, the logarithm of…

高能物理 - 理论 · 物理学 2013-01-08 F. Finelli , G. Marozzi , A. A. Starobinsky , G. P. Vacca , G. Venturi

Understanding how a field theory propagates the information contained in a given initial state is essential for quantifying the sensitivity of the cosmic microwave background to physics above the Hubble scale during inflation. Here we…

高能物理 - 理论 · 物理学 2009-11-11 Hael Collins , R. Holman

It is known that in the theory of light scalar fields during inflation, correlation functions suffer from infrared (IR) divergences or large IR loop corrections, leading to the breakdown of perturbation theory. In order to understand the…

高能物理 - 理论 · 物理学 2018-11-28 Junsei Tokuda , Takahiro Tanaka

It is well known that the potential energy between two heavy quarks carries an important information about the physics of confinement. Using the Wilson loop confinement criterion and the Nambu-Goto string action, this energy can be derived…

高能物理 - 唯象学 · 物理学 2023-09-26 S. S. Afonin

We study the backreaction of superhorizon fluctuations of a light quantum scalar field on a classical de Sitter geometry by means of the Wilsonian renormalisation group. This allows us to treat the gravitationally amplified fluctuations in…

高能物理 - 理论 · 物理学 2019-01-16 Gabriel Moreau , Julien Serreau

We revise the role that ultraviolet divergences of quantum fields play in slow-roll inflation, and discuss the renormalization of cosmological observables from a space-time perspective, namely the angular power spectrum. We first derive an…

广义相对论与量子宇宙学 · 物理学 2025-01-07 Adrian del Rio , Jose Navarro-Salas

We complete the derivation of the conservative dynamics of binary systems to fourth Post-Newtonian (4PN) order in the effective field theory (EFT) approach. We present a self-contained (ambiguity-free) computation of the renormalized…

广义相对论与量子宇宙学 · 物理学 2019-07-31 Stefano Foffa , Rafael A. Porto , Ira Rothstein , Riccardo Sturani

These notes provide a concise introduction to important applications of the renormalization group (RG) in statistical physics. After reviewing the scaling approach and Ginzburg-Landau theory for critical phenomena, Wilson's momentum shell…

统计力学 · 物理学 2015-03-19 Uwe C. Tauber

During inflation explicit perturbative computations of quantum field theories which contain massless, non-conformal fields exhibit secular effects that grow as powers of the logarithm of the inflationary scale factor. Starobinskii's…

广义相对论与量子宇宙学 · 物理学 2009-11-11 N. C. Tsamis , R. P. Woodard

The possibility to construct inflationary models for the renormalization-group improved potentials corresponding to scalar electrodynamics and to $SU(2)$ and $SU(5)$ models is investigated. In all cases, the tree-level potential, which…

高能物理 - 理论 · 物理学 2014-10-08 E. Elizalde , S. D. Odintsov , E. O. Pozdeeva , S. Yu. Vernov

We present a renormalized computational framework for the evolution of a self-interacting scalar field (inflaton) and its quantum fluctuations in an FRW background geometry. We include a coupling of the field to the Ricci scalar with a…

高能物理 - 唯象学 · 物理学 2009-10-31 J. Baacke , C. Patzold

In \href{https://link.aps.org/doi/10.1103/PhysRevD.92.103004}{Phys. Rev. D 92 (2015) 103004}, simple analytical solutions of the Friedman equations were obtained for a universe having stiff matter component in the early universe together…

广义相对论与量子宇宙学 · 物理学 2025-07-15 Gopinath Guin , Soham Sen , Sunandan Gangopadhyay

The Wilsonian renormalisation group is applied to a system of two nonrelativistic particles interacting via short-range forces and coupled to an external EM field. By demanding that a fully off-shell one-particle-irreducible 5-point…

核理论 · 物理学 2019-01-30 A. N. Kvinikhidze , M. C. Birse

We study the non-equilibrium dynamics of a system of coupled scalar fields in a Friedmann-Robertson-Walker (FRW) universe. We consider the evolution of spatially homogeneous "classical" fields and of their quantum fluctuations including the…

高能物理 - 唯象学 · 物理学 2014-11-21 Jurgen Baacke , Laura Covi , Nina Kevlishvili

We outline an ultraviolet renormalization procedure for hamiltonians acting in the light-front Fock space. The hamiltonians are defined and calculated using creation and annihilation operators with no limitation of the space of states.…

高能物理 - 理论 · 物理学 2007-05-23 Stanislaw D. Glazek

The functional renormalization group flow of a scalar field theory with quartic couplings and a sharp spatial momentum cutoff is presented in four-dimensional Minkowski space-time for the bare action by retaining the entanglement of the IR…

高能物理 - 理论 · 物理学 2022-02-16 S. Nagy , J. Polonyi

We study the running of power spectra in inflationary cosmology as a renormalization-group flow from the de Sitter fixed point. The beta function is provided by the equations of the background metric. The spectra of the scalar and tensor…

高能物理 - 理论 · 物理学 2021-01-27 Damiano Anselmi

We investigate the compatibility of cosmological constraints on inflation and the cosmological constant with the asymptotic safety scenario of quantum gravity. The effective action is taken to be of $f(R)$ form, truncated to second order.…

高能物理 - 理论 · 物理学 2018-12-27 Giulia Gubitosi , Robin Ooijer , Chris Ripken , Frank Saueressig

The renormalization group method is applied to the study of homogeneous and flat Friedmann-Robertson-Walker type Universes, filled with a causal bulk viscous cosmological fluid. The starting point of the study is the consideration of the…

广义相对论与量子宇宙学 · 物理学 2009-09-25 J. A. Belinchon , T. Harko , M. K. Mak