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The objective of this Ph.D. thesis is the implementation of the Worldline Formalism in the frame of Noncommutative Quantum Field Theories. The result is a master formula for the 1-loop effective action that is applied to a number of scalar…

高能物理 - 理论 · 物理学 2015-10-07 Sebastián A. Franchino-Viñas

The process of equilibration in phi^4 theory is investigated for a homogeneous system in 3+1 dimensions and a variety of out-of-equilibrium initial conditions, both in the symmetric and broken phase, by means of the 2PI effective action.…

高能物理 - 唯象学 · 物理学 2009-11-11 Alejandro Arrizabalaga , Jan Smit , Anders Tranberg

We study the effective interactions of external electromagnetic fields induced by fluctuations of virtual particles in the vacuum of quantum electrodynamics. Our main focus is on these interactions at two-loop order. We discuss in detail…

高能物理 - 理论 · 物理学 2022-06-02 Holger Gies , Felix Karbstein

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

We investigate Non-Hermitian quantum field theoretic model with $\iota g\phi^3$ interaction in 6 dimension. Such a model is PT-symmetric for the pseudo scalar field $\phi$. We analytically calculate the 2-loop $\beta$ function and analyse…

高能物理 - 理论 · 物理学 2021-07-20 Aditya Dwivedi , Bhabani Prasad Mandal

We consider a symmetric scalar theory with quartic coupling in 4-dimensions and compare the standard 2PI calculation with a modified version which uses a functional renormalization group method. The set of integral differential equations…

高能物理 - 唯象学 · 物理学 2015-01-14 M. E. Carrington , Wei-Jie Fu , D. Pickering , J. W. Pulver

We present a systematic procedure to derive a quantum master equation for thermal relaxation in real scalar field theory, expanding on the method proposed in [Koide and Nicacio, Phys. Lett. A494, 129277 (2024)]. We begin by introducing a…

量子物理 · 物理学 2025-12-04 T. Koide , F. Nicacio

Long-range quantum systems, in which the interactions decay as $1/r^{\alpha}$, are of increasing interest due to the variety of experimental set-ups in which they naturally appear. Motivated by this, we study fundamental properties of…

量子物理 · 物理学 2026-01-08 Jorge Sánchez-Segovia , Jan T. Schneider , Álvaro M. Alhambra

Using a path integral formulation for correlation functions of stochastic partial differential equations based on the Onsager-Machlup approach, we show how, by introducing a composite auxiliary field one can generate an auxiliary field loop…

统计力学 · 物理学 2014-06-12 Fred Cooper

We compute the far-from-equilibrium dynamics of relativistic scalar quantum fields in 3+1 space-time dimensions starting from over-occupied initial conditions. We determine universal scaling exponents and functions for two-point correlators…

高能物理 - 唯象学 · 物理学 2020-03-11 Linda Shen , Jürgen Berges

This thesis is devoted to the first-quantized approach to quantum field theory, commonly known as the 'Worldline Formalism'. It collects most of the works completed by the author during the PhD, illustrating the versatility and efficiency…

高能物理 - 理论 · 物理学 2026-03-23 Filippo Fecit

Using the N = 2 off-shell formulation in harmonic superspace for N = 4 super Yang-Mills theory, we present a representation of the one-loop effective action which is free of so-called coinciding harmonic singularities and admits a…

高能物理 - 理论 · 物理学 2009-11-07 S. M. Kuzenko , I. N. McArthur

Dimensional reduction of high temperature field theories improves IR features of their perturbative treatment. A crucial question is, what three-dimensional theory is representing the full system the most faithful way. Careful investigation…

高能物理 - 唯象学 · 物理学 2016-09-01 Antal Jakovac

We consider a quantum scalar field with {\lambda}{\phi}^4 interaction in curved spacetimes. The quantum effects are taken into account nonperturbatively using the Hartree approximation to the 2PI effective action. Although this…

高能物理 - 理论 · 物理学 2014-01-15 Diana L. López Nacir , Francisco D. Mazzitelli , Leonardo G. Trombetta

Using a Krylov-subspace time evolution algorithm, we simulate the real-time dynamics of translation invariant non-integrable finite spin rings to quite long times with high accuracy. We systematically study the finite-size deviation between…

量子物理 · 物理学 2025-05-26 Ivo A. Maceira , Andreas M. Läuchli

It is shown how quantum field theory at finite temperature can be used to set up self-consistent and gauge invariant equations for cosmological perturbations sustained by an ultrarelativistic plasma. While in the collisionless case, the…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Anton K. Rebhan

We investigate the thermodynamics of integrable classical field theories under the effect of a random initial configuration, motivated by the nonequilibrium evolution of quantum field theories. The approach to thermal equilibrium is…

统计力学 · 物理学 2016-10-05 P. E. G. Assis

In a recent work [D. Malpetti and T. Roscilde, arXiv:1605.04223] we have shown that in quantum many-body systems at finite temperature, two-point correlations can be formally separated into a thermal part, and a quantum part -- and that…

统计力学 · 物理学 2017-02-15 Daniele Malpetti , Tommaso Roscilde

In this article we discuss the accuracy of effective one-dimensional theories used to describe the behavior of ultracold atomic ensembles confined in quantum wires by a harmonic trap. We derive within a fully many-body approach the…

量子气体 · 物理学 2023-05-03 F Chevy , G Orso

We calculate the one-loop effective potential at finite temperature for a system of massless scalar fields with quartic interaction $\lambda\phi^4$ in the framework of the boundary effective theory (BET) formalism. The calculation relies on…

高能物理 - 唯象学 · 物理学 2011-06-30 A. Bessa , C. A. A. de Carvalho , E. S. Fraga , F. Gelis