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A central question in heavy-ion collisions is how the initial far-from-equilibrium medium evolves and thermalizes while it undergoes a rapid longitudinal expansion. In this work we use the two-particle irreducible (2PI) effective action for…

高能物理 - 唯象学 · 物理学 2025-04-08 François Gelis , Sigtryggur Hauksson

We derive the quantum effective action up to second order in gradients and up to two-loop order for an interacting scalar field theory. This expansion of the effective action is useful to study problems in cosmological settings where…

高能物理 - 理论 · 物理学 2024-09-17 Sofia Canevarolo , Tomislav Prokopec

We show that the lowest nontrivial truncation of the two-particle irreducible (2PI) effective action correctly determines transport coefficients in a weak coupling or 1/N expansion at leading (logarithmic) order in several relativistic…

高能物理 - 唯象学 · 物理学 2009-11-10 Gert Aarts , Jose M. Martinez Resco

The two-particle irreducible (2PI) effective action theories are employed to study the strongly fluctuating electron systems, under the formalism of the two-dimensional Hubbard model. We obtain the corresponding quantum 2PI effective action…

强关联电子 · 物理学 2012-11-07 Wei-Jie Fu

Nonperturbative approximation schemes are inevitable even in weakly coupled theories if the nonequilibrium behavior of quantum fields is investigated. The two-particle irreducible (2PI) effective action formalism provides an efficient…

高能物理 - 唯象学 · 物理学 2007-05-23 Szabolcs Borsanyi

In this thesis the two-particle-irreducible (2PI) formalism is investigated with several applications, particular emphasis on renormalizability. In the O(N) symmetric scalar quantum field theory formulated with auxiliary fields it is…

高能物理 - 唯象学 · 物理学 2011-12-06 G. Fejos

We study the dynamical evolution of coupled one- and two-point functions of a scalar field in the 2PI framework at the Hartree approximation, including backreaction from out-of-equilibrium modes. We renormalize the 2PI equations of motion…

高能物理 - 唯象学 · 物理学 2022-01-04 Kimmo Kainulainen , Olli Koskivaara

It is well known that perturbative pressure calculations show poor convergence. Calculations using a two particle irreducible (2PI) effective action show improved convergence at the 3 loop level, but no calculations have been done at 4…

高能物理 - 理论 · 物理学 2016-07-20 M. E. Carrington , B. A. Meggison , D. Pickering

We propose to apply the two-particle irreducible (2PI) formalism to the problem of thermalization in heavy-ion collisions in the Color Glass Condensate (CGC) picture. We consider the 2PI effective action to three loops and derive a set of…

高能物理 - 唯象学 · 物理学 2015-05-30 Yoshitaka Hatta , Akihiro Nishiyama

We consider a scalar field theory with quartic self interaction, Yukawa coupled to fermions in the inflationary de Sitter spacetime background. The scalar has a classical background plus quantum fluctuations, whereas the fermions are taken…

高能物理 - 理论 · 物理学 2025-10-31 Sourav Bhattacharya , Kinsuk Roy

Resummations of infinite sets of higher-order perturbative contributions are often needed both in thermal field theory and at zero temperature. For instance, the behaviour of the Standard Model (SM) effective potential extrapolated to very…

高能物理 - 唯象学 · 物理学 2015-08-03 Apostolos Pilaftsis , Daniele Teresi

We discuss the application of two-particle-irreducible (2PI) functional techniques to gauge theories, focusing on the issue of non-perturbative renormalization. In particular, we show how to renormalize the photon and fermion propagators of…

高能物理 - 理论 · 物理学 2010-02-03 Urko Reinosa , Julien Serreau

By combining the two-particle-irreducible (2PI) effective action common in non-equilibrium quantum field theory with the classical Martin-Siggia-Rose formalism, self-consistent equations of motion for the first and second cumulants of…

无序系统与神经网络 · 物理学 2022-05-31 Tim Bode

I review the use of the 2PI effective action in nonequilibrium quantum field theory. The approach enables one to find approximation schemes which circumvent long-standing problems of non-thermal or secular (unbounded) late-time evolutions…

高能物理 - 唯象学 · 物理学 2017-08-23 J. Berges

The 1/N expansion of the two-particle irreducible effective action offers a powerful approach to study quantum field dynamics far from equilibrium. We investigate the effective convergence of the 1/N expansion in the O(N) model by comparing…

高能物理 - 唯象学 · 物理学 2009-01-08 Gert Aarts , Nathan Laurie , Anders Tranberg

The infrared effects for light minimally coupled scalar fields with quartic self-interaction in de Sitter space is investigated using the 2PI effective action formalism. This formalism partially resums infinite series of loop diagrams, and…

高能物理 - 理论 · 物理学 2012-11-30 Takashi Arai

We present numerical simulations for the evolution of an expanding system of massless scalar fields with quartic coupling. By setting a rotating, non-isotropic initial configuration, we compute the energy density, the transverse and…

高能物理 - 理论 · 物理学 2022-11-08 Margaret E. Carrington , Gabor Kunstatter , Christopher Phillips , Marcelo E. Rubio

We discuss the two-particle irreducible (2PI) effective action for the SYK model and for tensor field theories. For the SYK model the 2PI effective action reproduces the bilocal reformulation of the model without using replicas. In general…

高能物理 - 理论 · 物理学 2018-06-04 Dario Benedetti , Razvan Gurau

We develop a field-theoretic description of large-scale structure formation by taking the non-relativistic limit of a canonically transformed, real scalar field which is minimally coupled to scalar gravitational perturbations in…

广义相对论与量子宇宙学 · 物理学 2019-12-04 Pavel Friedrich , Tomislav Prokopec

By exploiting the convexity of the two-particle-irreducible (2PI) effective action, we describe a procedure for extracting n-point vertex functions. This procedure is developed within the context of a zero-dimensional "quantum field theory"…

高能物理 - 理论 · 物理学 2022-11-22 Peter Millington , Paul M. Saffin
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