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We develop a diagrammatic approach to effective field theories (EFTs) corresponding to deep neural networks at initialization, which dramatically simplifies computations of finite-width corrections to neuron statistics. The structures of…

High Energy Physics - Theory · Physics 2023-05-12 Ian Banta , Tianji Cai , Nathaniel Craig , Zhengkang Zhang

We present GenEFT: an effective theory framework for shedding light on the statics and dynamics of neural network generalization, and illustrate it with graph learning examples. We first investigate the generalization phase transition as…

Machine Learning · Computer Science 2025-03-21 David D. Baek , Ziming Liu , Max Tegmark

Ensemble Density Functional Theory (EDFT) is a generalization of ground-state Density Functional Theory (GS DFT), which is based on an exact formal theory of finite collections of a system's ground and excited states. EDFT in various forms…

Materials Science · Physics 2024-08-27 Remi J. Leano , Aurora Pribram-Jones , David A. Strubbe

We apply effective field theory (EFT) methods to compute the renormalization group improved effective potential for theories with a large mass hierarchy. Our method allows one to compute the effective potential in a systematic expansion in…

High Energy Physics - Phenomenology · Physics 2021-04-28 Aneesh V. Manohar , Emily Nardoni

Generalized Effective Field Theory (GEFT) is the non-renormalizable extension of an Effective Field Theory where the Wilson coefficients are endowed by their own, independent scale dependence. Such an effective theory can be constructed by…

High Energy Physics - Theory · Physics 2020-01-08 Nikos Irges , Fotis Koutroulis

We review the effective field theories (EFTs) developed for few-nucleon systems. These EFTs are controlled expansions in momenta, where certain (leading-order) interactions are summed to all orders. At low energies, an EFT with only contact…

Nuclear Theory · Physics 2009-11-07 P. F. Bedaque , U. van Kolck

We study a low-energy effective field theory (EFT) describing the NN system in which all exchanged particles are integrated out. We show that fitting the residue of the 3S1 amplitude at the deuteron pole, rather than the 3S1 effective…

Nuclear Theory · Physics 2014-11-18 Daniel R. Phillips , Gautam Rupak , Martin J. Savage

We use the effective field theory (EFT) framework to calculate the tail effect in gravitational radiation reaction, which enters at 4PN order in the dynamics of a binary system. The computation entails a subtle interplay between the near…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Chad R. Galley , Adam K. Leibovich , Rafael A. Porto , Andreas Ross

Large language models are typically post-trained using supervised fine-tuning (SFT) and reinforcement learning (RL), yet effectively unifying efficient knowledge injection with robust generalization remains challenging. In this work, we…

Artificial Intelligence · Computer Science 2026-05-05 Wangjie Gan , Miao Pan , Linbo Xi , Wenqi Zhang , Jintao Chen , Jianwei Yin , Xuhong Zhang

The effective-field-theory (EFT) approach to the clustering of galaxies and other biased tracers allows for an isolation of the cosmological information that is protected by symmetries, in particular the equivalence principle, and thus is…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-03 Franz Elsner , Fabian Schmidt , Jens Jasche , Guilhem Lavaux , Nhat-Minh Nguyen

Effective field theory (EFT) methods for a uniform system of fermions with short-range, natural interactions are extended to include pairing correlations, as part of a program to develop a systematic Kohn-Sham density functional theory…

Nuclear Theory · Physics 2008-11-26 R. J. Furnstahl , H. -W. Hammer , S. J. Puglia

We develop an effective field theory (EFT) framework for $U(1)_X$ gauge symmetry breaking in which the dynamics of the order parameter acquire non-local-in-time (``memory'') corrections from a heavy dark sector. Integrating out metastable…

High Energy Physics - Phenomenology · Physics 2025-09-29 Arnab Chaudhuri

In this dissertation, I introduce the principles and methods of effective field theory and describe my work in three EFTs: First, in the perturbative QCD region, I use soft collinear effective theory (SCET) to prove that strong interaction…

High Energy Physics - Phenomenology · Physics 2016-12-30 Ou Z. Labun

Effective Field Theory (EFT) stands as a cornerstone in modern theoretical physics, offering a powerful framework for describing the dynamics of physical systems across a wide range of energy scales. This article provides an in-depth…

High Energy Physics - Phenomenology · Physics 2024-05-15 Waqas Riaz

Effective field theory (EFT) methods are applied to density functional theory (DFT) as part of a program to systematically go beyond mean-field approaches to medium and heavy nuclei. A system of fermions with short-range, natural…

Nuclear Theory · Physics 2007-05-23 S. J. Puglia , A. Bhattacharyya , R. J. Furnstahl

In convolutional neural networks, the convolutions are conventionally performed using a square kernel with a fixed N $\times$ N receptive field (RF). However, what matters most to the network is the effective receptive field (ERF) that…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Qi Chen , Chao Li , Jia Ning , Stephen Lin , Kun He

To explore the applicability of orbital-free density functional theory (OF-DFT) in nuclear physics, we perform a systematic benchmark of 36 one-point kinetic energy density functionals, which are originally developed for electron systems in…

Nuclear Theory · Physics 2026-05-20 Tian Shuai Shang , Jian Li , Haozhao Liang , Xinhui Wu , Cheng Ma , Wenhui Mi , Xuecheng Shao , Yanchao Wang

We apply the effective field theoretic (EFT) approach to resum the large perturbative logarithms arising when partonic hard scattering cross-sections are taken to the threshold limit. We consider deep inelastic scattering, Drell-Yan lepton…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ahmad Idilbi , Xiangdong Ji , Feng Yuan

The effective field theory (EFT) turns out to be an instrument of an immense value in all aspects of modern particle physics being theory, phenomenology or experiment. In the paper I will show how to extend the systematic top down approach…

General Relativity and Quantum Cosmology · Physics 2021-02-18 Łukasz Nakonieczny

Effective field theories (EFTs) organize the description of complex systems into an infinite sequence of decreasing importance. Predictions are made with a finite number of terms, which induces a truncation error that is often left…

Nuclear Theory · Physics 2019-10-16 J. A. Melendez , R. J. Furnstahl , D. R. Phillips , M. T. Pratola , S. Wesolowski
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