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For the O(N) field theory with lambda Phi^4 self-coupling, we construct the two-particle-irreducible (2PI), closed-time-path (CTP) effective action in a general curved spacetime. From this we derive a set of coupled equations for the mean…

General Relativity and Quantum Cosmology · Physics 2009-10-30 S. A. Ramsey , B. L. Hu

Truncations of the 2PI effective action are seen as a promising way of studying non-equilibrium dynamics in quantum field theories. We probe their applicability in the non-perturbative setting of topological defect formation in a…

High Energy Physics - Phenomenology · Physics 2010-02-03 Arttu Rajantie , Anders Tranberg

The phenomenon of prethermalization and the subsequent steps of thermalization are analyzed in the framework of the chiral quark model. We solve the quantum equations of motion of the field theory derived from the 2PI effective action and…

High Energy Physics - Phenomenology · Physics 2017-08-23 Szabolcs Borsanyi

We present a detailed derivation of the quantum and quantum-thermal effective action for non-relativistic systems, starting from the single particle case and extending to the Gross-Pitaevskii (GP) field theory for weakly interacting bosons.…

Quantum Gases · Physics 2025-12-02 Luca Salasnich

We outline a proposal, based on the Heat-Kernel method, to compute 1PI effective action up to any loop order for quantum field theory with scalar and fermion fields. We algebraically extract the divergences associated with the composite…

High Energy Physics - Theory · Physics 2024-04-04 Upalaparna Banerjee , Joydeep Chakrabortty , Kaanapuli Ramkumar

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…

High Energy Physics - Theory · Physics 2016-07-20 M. E. Carrington , B. A. Meggison , D. Pickering

Massless and massive scalar fields and massless spinor fields are considered at arbitrary temperatures in four dimensional ultrastatic curved spacetime. Scalar models under consideration can be either conformal or nonconformal and include…

High Energy Physics - Theory · Physics 2016-08-25 Yu. V. Gusev , A. I Zelnikov

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…

High Energy Physics - Phenomenology · Physics 2011-12-06 G. Fejos

Contemporary understanding of thermalization in quantum field theory stems largely from understanding properties of transient excitations of equilibria. These nonhydrodynamic excitations are known to structurally differ between weakly- and…

High Energy Physics - Theory · Physics 2025-11-17 Xin An , Robbe Brants , Michal P. Heller , Yi Yin

We examine the nonequilibrium dynamics of a self-interacting $\lambda\phi^4$ scalar field theory. Using a real time formulation of finite temperature field theory we derive, up to two loops and $O(\lambda^2)$, the effective equation of…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. Gleiser , R. O. Ramos

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

The nonequilibrium dynamics of quantum fields is studied in inflationary cosmology, with particular emphasis on applications to the problem of post-inflation reheating. The Schwinger-Keldysh closed-time-path (CTP) formalism is utilized…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Stephen A. Ramsey

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 show that the one-loop effective action at finite temperature for a scalar field with quartic interaction has the same renormalized expression as at zero temperature if written in terms of a certain classical field $\phi_c$, and if we…

High Energy Physics - Phenomenology · Physics 2014-11-21 A. Bessa , F. T. Brandt , C. A. A. de Carvalho , E. S. Fraga

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…

High Energy Physics - Phenomenology · Physics 2022-01-04 Kimmo Kainulainen , Olli Koskivaara

At high temperature the infrared modes of a weakly coupled quantum field theory can be treated nonperturbatively in real time using the classical field approximation. We use this to introduce a nonperturbative approach to the calculation of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gert Aarts

We perform an analysis of a number of approximations and methods used in numerical simulations of real-time Kadanoff-Baym equations based on truncations of the 2PI effective action. We compare the loop expansion to the 1/N expansion and…

High Energy Physics - Phenomenology · Physics 2024-09-11 Anders Tranberg , Gerhard Ungersbäck

We consider the out-of-equilibrium evolution of a classical condensate field $\phi=<\Phi>$ and its quantum fluctuations for a $\Phi^4$ model in 1+1 dimensions with a double well potential. We use the two-particle point-irreducible (2PPI)…

High Energy Physics - Phenomenology · Physics 2016-09-06 Jurgen Baacke , Andreas Heinen

In this work, we mainly study the one-loop effective action for real scalar theories in non-homogeneous backgrounds in odd dimensions. It is shown that through the method studied in Ref. [1], it is possible to obtain a unified result for…

High Energy Physics - Theory · Physics 2011-04-06 Burak Tevfik Kaynak

Scalar fields appear in many theories beyond the Standard Model of particle physics. In the early universe, they are exposed to extreme conditions, including high temperature and rapid cosmic expansion. Understanding their behavior in this…

High Energy Physics - Phenomenology · Physics 2015-08-21 Yeuk-Kwan E. Cheung , Marco Drewes , Jin U Kang , Jong Chol Kim