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The systematics of different approximations within the self-energy-functional theory (SFT) is discussed for fermionic lattice models with local interactions. In the context of the SFT, an approximation is essentially given by specifying a…

Strongly Correlated Electrons · Physics 2009-11-11 Michael Potthoff

We construct a generalized linear sigma model as an effective field theory (EFT) to describe nearly conformal gauge theories at low energies. The work is motivated by recent lattice studies of gauge theories near the conformal window, which…

To advance the foundation of one-particle reduced density matrix functional theory (1RDMFT) we refine and relate some of its fundamental features and underlying concepts. We define by concise means the scope of a 1RDMFT, identify its…

Quantum Physics · Physics 2023-10-10 Julia Liebert , Adam Yanis Chaou , Christian Schilling

We present the explicit construction of the effective field theory (EFT) of standard model mass eigenstates. The EFT, which is invariant under $U(1)_{\text{e.m.}}\times SU(3)_c$, is constructed based on the on-shell method and Young Tableau…

High Energy Physics - Phenomenology · Physics 2023-09-22 Zi-Yu Dong , Teng Ma , Jing Shu , Zi-Zheng Zhou

Density functional theory (DFT), the most widely adopted method in modern computational chemistry, fails to describe accurately the electronic structure of strongly correlated systems. Here we show that DFT can be formally and practically…

Chemical Physics · Physics 2022-04-18 Daniel Gibney , Jan-Niklas Boyn , David A. Mazziotti

This work proposes the extended functional tensor train (EFTT) format for compressing and working with multivariate functions on tensor product domains. Our compression algorithm combines tensorized Chebyshev interpolation with a low-rank…

Numerical Analysis · Mathematics 2024-05-30 Christoph Strössner , Bonan Sun , Daniel Kressner

By pretraining on trillions of tokens, an LLM gains the capability of text generation. However, to enhance its utility and reduce potential harm, SFT and alignment are applied sequentially to the pretrained model. Because SFT and alignment…

Computation and Language · Computer Science 2026-05-11 Zhichao Wang , Bin Bi , Zixu Zhu , Xiangbo Mao , Jun Wang , Shiyu Wang , Cheng Wang , Dong Nie , Lingzi Hong

Vector Fitting (VF) is a popular method of constructing rational approximants that provides a least squares fit to frequency response measurements. In an earlier work, we provided an analysis of VF for scalar-valued rational functions and…

Numerical Analysis · Mathematics 2016-10-05 Zlatko Drmac , Serkan Gugercin , Christopher Beattie

We develop a universal approach to the one-loop effective field theory (EFT) using the Covariant Derivative Expansion (CDE) method. We generalise previous results to include broader classes of UV models, showing how expressions previously…

High Energy Physics - Phenomenology · Physics 2016-02-11 Aleksandra Drozd , John Ellis , Jérémie Quevillon , Tevong You

We study the bispectrum in the Effective Field Theory of Large Scale Structure, consistently accounting for the effects of short-scale dynamics. We begin by proving that, as long as the theory is perturbative, it can be formulated to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Tobias Baldauf , Lorenzo Mercolli , Mehrdad Mirbabayi , Enrico Pajer

We demonstrate how masses of new states, beyond direct experimental reach, could nevertheless be extracted in the framework of effective field theory (EFT), given broad assumptions on the underlying UV physics, however not sticking to a…

High Energy Physics - Phenomenology · Physics 2017-11-10 Florian Goertz

In previous works arXiv:2107.12133 and arXiv:2201.05082, we have performed the one-loop matching of both type-I and type-II seesaw models for neutrino masses onto the Standard Model Effective Field Theories (SMEFT). In the present paper, by…

High Energy Physics - Phenomenology · Physics 2023-09-27 Xu Li , Shun Zhou

Density Functional Theory (DFT) is widely used for atomistic simulations. However, its reach stays limited due to several limitations such as lack of accurate exchange-correlation functional, requirement of costly O(N 3) diagonalization…

Quantum Physics · Physics 2026-05-18 Namrata Manglani , Samrit Kumar Maity , Shashank Sharma , Soham Phulare , Sanjay Wandhekar

Subsequence matching has appeared to be an ideal approach for solving many problems related to the fields of data mining and similarity retrieval. It has been shown that almost any data class (audio, image, biometrics, signals) is or can be…

Multimedia · Computer Science 2012-06-13 David Novak , Petr Volny , Pavel Zezula

These lectures aim to provide a pedagogical introduction to the philosophical underpinnings and technical features of Effective Field Theory (EFT). Improving control of $S$-matrix elements in the presence of a large hierarchy of physical…

High Energy Physics - Phenomenology · Physics 2020-08-31 Timothy Cohen

Based on a functional-integral formalism, a generalization of the self-energy-functional theory (SFT) is proposed which is applicable to systems of interacting electrons with disorder. Similar to the pure case without disorder, a…

Strongly Correlated Electrons · Physics 2013-05-29 Michael Potthoff , Matthias Balzer

The effective field theory approach parameterizes the low energy behaviors of all possible ultraviolet (UV) theories in a systematic way. One of the most important tasks is thus to find the connection between the effective operators and…

High Energy Physics - Phenomenology · Physics 2023-09-29 Hao-Lin Li , Yu-Han Ni , Ming-Lei Xiao , Jiang-Hao Yu

We derive universal formulae for integrating out heavy degrees of freedom in scalar field theories up to one-loop level in terms of covariant quantities associated with the geometry of the field manifold. The universal matching results can…

High Energy Physics - Phenomenology · Physics 2024-11-08 Xu-Xiang Li , Xiaochuan Lu , Zhengkang Zhang

Effective field theory (EFT) approaches are widely used at the LHC, such that it is important to study their validity, and ease of matching to specific new physics models. In this paper, we consider an extension of the SM in which a top…

High Energy Physics - Phenomenology · Physics 2020-03-04 Christoph Englert , Peter Galler , Chris D. White

In this work, we study the key role of generic Effective Field Theory (EFT) framework to quantify the correlation functions in a quasi de Sitter background for an arbitrary initial choice of the quantum vacuum state. We perform the…

High Energy Physics - Theory · Physics 2019-07-11 Sayantan Choudhury