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In this paper we compute the spherical Fourier expansions coefficients for the restriction of the generalised Wendland functions from $d-$dimensional Euclidean space to the (d-1)-dimensional unit sphere. The development required to derive…

Classical Analysis and ODEs · Mathematics 2021-10-20 Simon Hubbert , Janin Jäger

We investigate the dynamical superlattice correlation in the two-dimensional three-band Hubbard model on the basis of the unrestricted fluctuation exchange approximation. We calculate the one-particle spectral function, the spin correlation…

Strongly Correlated Electrons · Physics 2009-11-13 Shigeru Koikegami , Takashi Yanagisawa , Masaru Kato

We propose to use the energy absorption spectroscopy to measure the kinetic coefficients of unitary Fermi gases in a uniform potential. We show that in our scheme, the energy absorption spectrum is proportional to the dynamic structure…

Quantum Gases · Physics 2018-04-18 Pengfei Zhang , Zhenhua Yu

We present a covariant extension of the relativistic Fermi gas model which incorporates correlation effects in nuclei. Within this model, inspired by the BCS descriptions of systems of fermions, we obtain the nuclear spectral function and…

Nuclear Theory · Physics 2010-01-22 M. B. Barbaro , R. Cenni , T. W. Donnelly , A. Molinari

In this article we wish to present a new method to obtain spectral functions at finite temperature and density from the Functional Renormalization Group (FRG). The FRG offers a powerful non-perturbative tool to deal with phase transitions…

High Energy Physics - Phenomenology · Physics 2014-09-17 Jochen Wambach , Ralf-Arno Tripolt , Nils Strodthoff , Lorenz von Smekal

We establish a general framework to explore parametric statistics of individual energy levels in unitary random matrix ensembles. For a generic confinement potential $W(H)$, we (i) find the joint distribution functions of the eigenvalues of…

Condensed Matter · Physics 2009-11-10 I. E. Smolyarenko , B. D. Simons

We study the single-particle spectral function of resonantly-interacting fermions in the unitary regime, as described by the three-dimensional attractive Hubbard model in the dilute limit. Our approach, based on the Dynamical Cluster…

Quantum Gases · Physics 2013-05-29 Shi-Quan Su , Daniel E. Sheehy , Juana Moreno , Mark Jarrell

In this paper we use the pseudofermion dynamical theory (PDT) in the study of the one-electron removal singular spectral features the one-dimensional Hubbard model. The PDT reveals that in the whole $(k, \omega)$-plane such features are of…

Strongly Correlated Electrons · Physics 2009-09-29 J. M. P. Carmelo , K. Penc , P. D. Sacramento , M. Sing , R. Claessen

The spectral properties of the 1-D Hubbard model are obtained from quantum Monte Carlo simulations using the maximum entropy method. The one-particle excitations are characterized by dispersive cosine-like bands. Velocities for spin- and…

Condensed Matter · Physics 2009-10-22 R. Preuss , A. Muramatsu , W. von der Linden , F. F. Assaad , W. Hanke

We show that the one-particle spectral functions of the one-dimensional Hubbard model diverge at the Fermi energy like $|\omega-\varepsilon_F|^{-3/8}$ in the $U\to +\infty $ limit. The Luttinger liquid behaviour…

Condensed Matter · Physics 2009-03-02 Karlo Penc , Frédéric Mila , Hiroyuki Shiba

The energy spectra and quantum diffusion of an electron in a 1D incommensurate Frenkel-Kontorova (FK) model are studied numerically. We found that the spectral and dynamical properties of electron display quite different behaviors in…

Disordered Systems and Neural Networks · Physics 2009-11-07 Peiqing Tong , Baowen Li , Bambi Hu

Density matrix embedding theory (DMET) [Phys. Rev. Lett., 109, 186404 (2012)], introduced a new approach to quantum cluster embedding methods, whereby the mapping of strongly correlated bulk problems to an impurity with finite set of bath…

Strongly Correlated Electrons · Physics 2015-06-24 George H. Booth , Garnet Kin-Lic Chan

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

Radiative corrections to high energy scattering processes were given previously in terms of universal soft and collinear functions. This paper gives the collinear functions for all standard model particles, the general form of the soft…

High Energy Physics - Phenomenology · Physics 2010-04-06 Jui-yu Chiu , Andreas Fuhrer , Randall Kelley , Aneesh V. Manohar

In this paper we study the scattering theory associated with the pseudofermion dynamical theory for the Hubbard chain. In terms of pseudofermions the spectral properties are controlled by zero-momentum forward scattering only. The…

Strongly Correlated Electrons · Physics 2007-05-23 J. M. P. Carmelo , D. Bozi , P. D. Sacramento

Using an efficient variational exact diagonalization method, we computed the electron removal spectral function within the framework of the Holstein-Hubbard model containing two electrons with opposite spins coupled to dispersive quantum…

Strongly Correlated Electrons · Physics 2025-03-14 K. Kovač , J. Bonča

We develop a method to obtain fermion spectral functions non-perturbatively in a non-Abelian gauge theory with high occupation numbers of gauge fields. After recovering the free field case, we extract the spectral function of fermions in a…

High Energy Physics - Phenomenology · Physics 2022-12-12 Kirill Boguslavski , Tuomas Lappi , Mark Mace , Sören Schlichting

We describe the dynamics of a single fermion in a dispersionless band coupled to the 2+1 dimensional conformal field theory (CFT) describing the quantum phase transition of a bosonic order parameter with N components. The fermionic spectral…

Strongly Correlated Electrons · Physics 2014-07-30 Andrea Allais , Subir Sachdev

In this paper, we study spectral properties of generalized weighted Hilbert matrices. In particular, we establish results on the spectral norm, determinant, as well as various relations between the eigenvalues and eigenvectors of such…

Spectral Theory · Mathematics 2013-03-06 Emmanuel Preissmann , Olivier Leveque

We employ the functional renormalization group approach formulated on the Schwinger-Keldysh contour to calculate real-time correlation functions in scalar field theories. We provide a detailed description of the formalism, discuss suitable…

High Energy Physics - Phenomenology · Physics 2020-11-18 Sven Huelsmann , Soeren Schlichting , Philipp Scior
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