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Related papers: A note on scaling arguments in the effective avera…

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We extend our prescription for the construction of a covariant and background-independent effective action for scalar quantum field theories to the case where momentum modes below a certain scale are suppressed by the presence of an…

High Energy Physics - Theory · Physics 2016-12-21 Mahmoud Safari , Gian Paolo Vacca

We study the quantum gravitational system coupled to a charged scalar, Dirac fermions, and electromagnetic fields. We use the "exact" or "functional" renormalization group equation to derive the effective action $\Gamma_0$ by integrating…

High Energy Physics - Theory · Physics 2020-10-28 Nobuyoshi Ohta , Leslaw Rachwal

Ensembles are ubiquitous in off-policy actor-critic learning, yet their efficacy depends critically on how they are aggregated. Current methods typically rely on static rules or task-specific hyperparameters to balance overestimation bias…

Machine Learning · Computer Science 2026-05-07 Nicklas Werge , Yi-Shan Wu , Manuel Haussmann , Bahareh Tasdighi , Melih Kandemir

We adapt the precise definition of the flowing effective action in order to obtain a functional flow equation with simple properties close to physical intuition. The simplified flow equation is invariant under local gauge transformations…

High Energy Physics - Theory · Physics 2025-04-09 C. Wetterich

We study exact renormalization group equations in the framework of the effective average action. We present analytical approximate solutions for the scale dependence of the potential in a variety of models. These solutions display a rich…

High Energy Physics - Theory · Physics 2016-09-06 D. Litim , N. Tetradis

A renormalization group flow equation with a scale-dependent transformation of field variables gives a unified description of fundamental and composite degrees of freedom. In the context of the effective average action, we study the…

High Energy Physics - Theory · Physics 2009-11-07 Holger Gies , Christof Wetterich

The cutoff scheme dependence in the several formulations of the Exact Renormalization Group (ERG) is investigated. It is shown that the cutoff scheme dependence of the Wilsonian effective action is regarded as a certain coordinate…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Ichi Sumi , Wataru Souma , Ken-Ichi Aoki , Haruhiko Terao , Keiichi Morikawa

We construct a new version of the effective average action together with its flow equation. The construction entails in particular the consistency of fluctuation field and background field equations of motion, even for finite…

High Energy Physics - Theory · Physics 2018-05-30 Stefan Lippoldt

Within the effective average action approach to quantum gravity, we recover the low energy effective action as derived in the effective field theory framework, by studying the flow of possibly non-local form factors that appear in the…

High Energy Physics - Theory · Physics 2014-11-21 A. Satz , A. Codello , F. D. Mazzitelli

The psychological state of flow has been linked to optimizing human performance. A key condition of flow emergence is a match between the human abilities and complexity of the task. We propose a simple computational model of flow for…

Artificial Intelligence · Computer Science 2014-07-18 Vadim Bulitko

In a recent paper, with Drago and Pinamonti we have introduced a Wetterich-type flow equation for scalar fields on Lorentzian manifolds, using the algebraic approach to perturbative QFT. The equation governs the flow of the effective…

Mathematical Physics · Physics 2025-02-10 Edoardo D'Angelo , Kasia Rejzner

The critical behaviour of a system of two coupled scalar fields in three dimensions is studied within the formalism of the effective average action. The fixed points of the system are identified and the crossover between them is described…

Condensed Matter · Physics 2009-10-28 S. Bornholdt , P. Buettner , N. Tetradis , C. Wetterich

We review the formalism of the effective average action in quantum field theory which corresponds to a coarse grained free energy in statistical mechanics. The associated exact renormalization group equation and possible nonperturbative…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. -U. Jungnickel , C. Wetterich

We discuss the Polyakov effective action for a minimally coupled scalar field on a two dimensional curved space by considering a non-local covariant truncation of the effective average action. We derive the flow equation for the form factor…

High Energy Physics - Theory · Physics 2011-09-01 A. Codello

The scaling form of the critical equation of state is computed for $O(N)$-symmetric models. We employ a method based on an exact flow equation for a coarse grained free energy. A suitable truncation is solved numerically.

High Energy Physics - Theory · Physics 2009-10-28 J. Berges , N. Tetradis , C. Wetterich

Active learning (AL), which iteratively queries the most informative examples from a large pool of unlabeled candidates for model training, faces significant challenges in the presence of open-set classes. Existing methods either prioritize…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Chen-Chen Zong , Sheng-Jun Huang

We consider a system of two linear and linearly coupled oscillators with ideal impact constraints. Primary resonant energy exchange is investigated by analysis of the slow-flow using the action-angle (AA) formalism. Exact inversion of the…

Chaotic Dynamics · Physics 2018-08-15 Nathan Perchikov , O. V. Gendelman

In this Thesis we study quantum corrections to the classical dynamics for mean values in field theory. To that end we make use of the formalism of the closed time path effective action to get real and causal equations of motion. We…

High Energy Physics - Theory · Physics 2007-05-23 Diego A. R. Dalvit

The gauge dependence problem of the effective action for general gauge theories in the framework of a modified functional renormalization group approach proposed recently is studied. It is shown that the effective action remains…

High Energy Physics - Theory · Physics 2017-10-11 Olga V. Zyryanova

We formulate a perturbation expansion for the effective action in a new approach to the functional renormalization group method based on the concept of composite fields for regulator functions being their most essential ingredients. We…

High Energy Physics - Theory · Physics 2015-12-24 Peter M. Lavrov , Boris S. Merzlikin