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Nonperturbative approximation schemes based on two-particle irreducible (2PI) effective actions provide an important means for our current understanding of (non-)equilibrium quantum field theory. A remarkable property is their…

High Energy Physics - Phenomenology · Physics 2009-11-11 Juergen Berges , Szabolcs Borsanyi , Urko Reinosa , Julien Serreau

In this paper, we systematically study the effective action for non-commutative QED in the static limit at high temperature. When $\theta p^{2}\ll 1$, where $\theta$ represents the magnitude of the parameter for non-commutativity and $p$…

High Energy Physics - Theory · Physics 2008-11-26 F. T. Brandt , Ashok Das , J. Frenkel , S. Pereira , J. C. Taylor

We work with $\phi^4$ theory and study the 4PI effective action at 3-loop order. We discuss the relationship between the equations of motion obtained by taking functional derivatives of the effective action with respect to the variational…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. E. Carrington

We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative $\lambda[\Phi^3]_\star$-theory for both planar (g=0, h=3) and nonplanar (g=1, h=1) contributions. We adopt worldline formulation…

High Energy Physics - Theory · Physics 2010-04-05 Y. Kiem , S. -S. Kim , S. -J. Rey , H. -T. Sato

We construct one- and two-particle irreducible (1PI and 2PI) effective actions for the stochastic fluid dynamics of a conserved density undergoing diffusive motion. We compute the 1PI action at one-loop order, and the 2PI action in two-loop…

High Energy Physics - Phenomenology · Physics 2023-06-28 Jingyi Chao , Thomas Schaefer

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…

High Energy Physics - Theory · Physics 2018-06-04 Dario Benedetti , Razvan Gurau

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…

High Energy Physics - Phenomenology · Physics 2009-11-10 Gert Aarts , Jose M. Martinez Resco

We consider quantum electrodynamics with additional coupling of spinor fields to the space-time independent axial vector violating both Lorentz and CPT symmetries. The Fock-Schwinger proper time method is used to calculate the one-loop…

High Energy Physics - Theory · Physics 2011-07-19 Yu. A. Sitenko , K. Yu. Rulik

We propose a novel method of evaluating the effective action, wherein the physical one- and two-point functions are obtained in the limit of non-vanishing external sources. We illustrate the self-consistency of this method by recovering the…

High Energy Physics - Theory · Physics 2016-03-14 Bjorn Garbrecht , Peter Millington

Using the 2PI effective action formalism, we study false vacuum decay beyond the quadratic approximation of the path integral. We derive a coupled system of equations for the bounce and the propagator, and we compute a semi-analytic…

High Energy Physics - Theory · Physics 2025-05-13 Matthias Carosi , Björn Garbrecht

The Symmetry Improved Two-Particle-Irreducible (SI2PI) formalism is a powerful tool to calculate the effective potential beyond perturbation theory, whereby infinite sets of selective loop-graph topologies can be resummed in a systematic…

High Energy Physics - Phenomenology · Physics 2017-05-11 Apostolos Pilaftsis , Daniele Teresi

Motivated by isotropization of QCD matter in the initial stages of heavy-ion collisions, we consider a system of scalar fields that undergoes a boost invariant longitudinal expansion. We use the framework of the two-particle irreducible…

High Energy Physics - Phenomenology · Physics 2024-03-19 François Gelis , Sigtryggur Hauksson

We consider a scalar field theory in Minkowski spacetime and define a coarse grained Closed Time Path (CTP) effective action by integrating quantum fluctuations of wavelengths shorter than a critical value. We derive an exact CTP…

High Energy Physics - Theory · Physics 2014-11-18 Diego A. R. Dalvit , Francisco D. Mazzitelli

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…

High Energy Physics - Theory · Physics 2025-10-31 Sourav Bhattacharya , Kinsuk Roy

A method is presented for the computation of the one-loop effective action at finite temperature and density. The method is based on an expansion in the number of spatial covariant derivatives. It applies to general background field…

High Energy Physics - Theory · Physics 2016-08-15 C. García-Recio , L. L. Salcedo

In this article we calculate the electrical conductivity in QED using the 2PI effective action. We use a modified version of the usual 2PI effective action which is defined with respect to self-consistent solutions of the 2-point functions.…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. E. Carrington , E. Kovalchuk

We sketch the major steps in a functional integral derivation of a new set of Stochastic Gross-Pitaevsky equations (GPE) for a Bose-Einstein condensate (BEC) confined to a trap at zero temperature with the averaged effects of non-condensate…

Statistical Mechanics · Physics 2009-11-13 Esteban Calzetta , B. L. Hu , Enric Verdaguer

The nonequilibrium time evolution of a quantum dot is studied by means of dynamic equations for time-dependent Greens functions derived from a two-particle-irreducible (2PI) effective action for the Anderson impurity model. Coupling the dot…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 Sebastian Bock , Alexander Liluashvili , Thomas Gasenzer

We present an explicit treatment of the two-particle-irreducible (2PI) effective action for a zero-dimensional quantum field theory. The advantage of this simple playground is that we are required to deal only with functions rather than…

High Energy Physics - Theory · Physics 2019-09-19 Peter Millington , Paul M. Saffin

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…

High Energy Physics - Phenomenology · Physics 2015-05-30 Yoshitaka Hatta , Akihiro Nishiyama