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The virtues of an effective field theory (EFT) approach to many-body problems are illustrated by deriving the expansion for the energy of an homogeneous, interacting Fermi gas at low density and zero temperature. A renormalization scheme…

核理论 · 物理学 2009-11-06 H. -W. Hammer , R. J. Furnstahl

For a two dimensional, weakly coupled system of fermions at temperature zero, one principal ingredient used to control the composition of the associated renormalization group maps is the careful counting of the number of quartets of sectors…

数学物理 · 物理学 2015-06-26 Joel Feldman , Horst Knoerrer , Eugene Trubowitz

Fluorescence molecular tomography (FMT) is an emerging powerful tool for biomedical research. There are two factors that influence FMT reconstruction most effectively. The first one is the regularization techniques. Traditional methods such…

图像与视频处理 · 电气工程与系统科学 2021-09-09 Yan Liu , Wuwei Ren , Habib Ammari

Non-Fermi liquids in $d=2$ spatial dimensions can arise from coupling a Fermi surface to a gapless boson. At finite temperature, however, the perturbative quantum field theory description breaks down due to infrared divergences. These are…

强关联电子 · 物理学 2020-08-05 Jeremias Aguilera Damia , Mario Solis , Gonzalo Torroba

As the continuation of the contour mean calculation - designed for averaging the manual delineations of 3D layer stack images - in this paper, the most important equations: a) the reparameterization equations to determine the minimizing…

度量几何 · 数学 2019-08-01 Jozsef Molnar , Peter Horvath

We evaluate renormalization factors of the domain-wall fermion system with various improved gauge actions at one loop level. The renormalization factors are calculated for quark wave function, quark mass, bilinear quark operators, three-…

高能物理 - 格点 · 物理学 2009-11-07 Sinya Aoki , Taku Izubuchi , Yoshinobu Kuramashi , Yusuke Taniguchi

Flux reconstruction provides a framework for solving partial differential equations in which functions are discontinuously approximated within elements. Typically, this is done by using polynomials. Here, the use of radial basis functions…

数值分析 · 数学 2022-01-06 Rob Watson , Will Trojak

Fourier phase retrieval (FPR) is an inverse problem that recovers the signal from its Fourier magnitude measurement, it's ill-posed especially when the sampling rates are low. In this paper, an untrained generative prior is introduced to…

信号处理 · 电气工程与系统科学 2022-10-25 Liyuan Ma , Hongxia Wang , Ningyi Leng , Ziyang Yuan

In this paper, a downlink intelligent reflecting surface (IRS) enhanced millimeter-wave (mmWave) non-orthogonal multiple access (NOMA) system is considered. A joint optimization problem over active beamforming, passive beamforming and power…

信息论 · 计算机科学 2020-05-05 Jiakuo Zuo , Yuanwei Liu , Ertugrul Basar , Octavia A. Dobre

We study the Fermi-edge singularity, describing the response of a degenerate electron system to optical excitation, in the framework of the functional renormalization group (fRG). Results for the (interband) particle-hole susceptibility…

强关联电子 · 物理学 2018-05-15 Fabian B. Kugler , Jan von Delft

Any effective field theory relies on power counting rules that allow one to perform a systematic expansion of calculated quantities in terms of some soft scales. However, a naive power counting can be violated due to the presence of various…

高能物理 - 唯象学 · 物理学 2025-04-24 A. M. Gasparyan , E. Epelbaum

We introduce Fermi Sets, a universal and physically interpretable neural architecture for fermionic many-body wavefunctions. Building on a ``parity-graded'' representation [1], we prove that any continuous fermionic wavefunction on a…

强关联电子 · 物理学 2026-04-21 Liang Fu

Inverse scattering is a fundamental challenge in many imaging applications, ranging from microscopy to remote sensing. Solving this problem often requires jointly estimating two unknowns -- the image and the scattering field inside the…

图像与视频处理 · 电气工程与系统科学 2025-05-21 Yuan Gao , Wenhan Guo , Yu Sun

We present a functional renormalization group flow for many-fermion lattice models into phases with broken spin-rotational symmetry. The flow is expressed purely in terms of fermionic vertex functions. The symmetry breaking is seeded by a…

强关联电子 · 物理学 2012-10-11 Stefan A. Maier , Carsten Honerkamp

The quantum many-body problem is an important topic in condensed matter physics. To efficiently solve the problem, several methods have been developped to improve the representation ability of wave-functions. For the Fermi-Hubbard model…

强关联电子 · 物理学 2024-06-05 Yu-Tong Zhou , Zheng-Wei Zhou , Xiao Liang

The inherent non-linearity of intensity correlation functions can be used to spatially distinguish identical emitters beyond the diffraction limit, as achieved, for example, in Super-Resolution Optical Fluctuation Imaging (SOFI). Here, we…

光学 · 物理学 2024-12-18 Yifan Chen , Chieh Tsao , Hendrik Utzat

This paper is concerned with the inverse problem of reconstructing small and local perturbations of a planar surface using the field interaction between a known plasmonic particle and the planar surface. The aim is to perform a…

偏微分方程分析 · 数学 2018-11-21 Habib Ammari , Doo Sung Choi , Sanghyeon Yu

Many super-resolution (SR) models are optimized for high performance only and therefore lack efficiency due to large model complexity. As large models are often not practical in real-world applications, we investigate and propose novel loss…

图像与视频处理 · 电气工程与系统科学 2021-06-03 Dario Fuoli , Luc Van Gool , Radu Timofte

In this paper a recently developed projector-based renormalization method (PRM) for many-particle Hamiltonians is applied to the periodic Anderson model (PAM) with the aim to describe heavy Fermion behavior. In this method high-energetic…

强关联电子 · 物理学 2009-11-10 A. Huebsch , K. W. Becker

The recent introduction of a deformed non-minimal version of the noncommutative Standard Model in the enveloping-algebra approach, having a one-loop renormalisable gauge sector involving a higher order gauge term, motivates us to consider…

高能物理 - 理论 · 物理学 2010-04-30 C. Tamarit , J. Trampetic