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We present a comprehensive study of finite volume and lattice spacing effects on observables calculated in the static approximation. Ground state projection using smearing techniques is studied at $\beta=6.26$. We give high statics results…

High Energy Physics - Lattice · Physics 2009-10-22 C. Alexandrou , S. Guesken , F. Jegerlehner , K. Schilling , R. Sommer

The thermodynamics of the inhomogeneous one-dimensional repulsive fermionic Hubbard model with parabolic confinement is studied by a density-functional theory approach, based on Mermin's generalization to finite temperatures. A…

Strongly Correlated Electrons · Physics 2019-04-25 V. L. Campo

In the present communication we consider the one-dimensional (1D) isotopically disordered lattice with the harmonic potential. Our analytical method is adequate for any 1D lattice where potential energy can be presented as the quadratic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Vladimir N. Likhachev , Juraj Szavits-Nossan , George A. Vinogradov

We develop a consistent perturbation theory in quantum fluctuations around the classical evolution of a system of interacting bosons. The zero order approximation gives the classical Gross-Pitaevskii equations. In the next order we recover…

Statistical Mechanics · Physics 2007-05-23 Anatoli Polkovnikov

This paper presents data-driven implementations of balanced truncation and several of its generalizations that rely exclusively on transfer function samples on the imaginary axis. Rather than implicitly approximating the Gramians via…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Umair Zulfiqar

The effective potential of $\lambda\phi^4_{1+3}$ model with both sign of parameter $m^2$ is evaluated at T=0 by means of a simple but effective method for regularization and renormalization. Then at $T\ne 0$, the effective potential is…

High Energy Physics - Theory · Physics 2007-05-23 Guang-jiong Ni , Su-qing Chen

Following the proposal in [1], we study the feasibility to calculate the pion distribution amplitude (DA) from suitably chosen Euclidean correlation functions at large momentum. In our lattice study we employ the novel momentum smearing…

The spectral properties of a tractable collective model Hamiltonian are studied. The potential energy is truncated up to quartic terms in the quadrupole deformation variables, incorporating vibrational, $\gamma$-independent rotational and…

Nuclear Theory · Physics 2009-11-13 S. De Baerdemacker , K. Heyde , V. Hellemans

We introduce a new class of numerical schemes which allow for low regularity approximations to the expectation $ \mathbb{E}(|u_{k}(\tau, v^{\eta})|^2)$, where $u_k$ denotes the $k$-th Fourier coefficient of the solution $u$ of the…

Probability · Mathematics 2026-01-27 Yvonne Alama Bronsard , Yvain Bruned , Katharina Schratz

Embedding the lattice gauge theory into a continuum theory allows to use the continuum action as trial action in the variational calculation. Only originally divergent graphs contribute. This leads to a very simple scheme which makes it…

High Energy Physics - Lattice · Physics 2007-05-23 Iring Bender , Dieter Gromes

Quantitative knowledge of electron-phonon coupling is important for many applications as well as for the fundamental understanding of nonequilibrium relaxation processes. Time-resolved diffraction provides direct access to this knowledge…

Materials Science · Physics 2021-11-18 Daniela Zahn , Hélène Seiler , Yoav William Windsor , Ralph Ernstorfer

We consider Lorentzian CFT Wightman functions in momentum space. In particular, we derive a set of reference formulas for computing two- and three-point functions, restricting our attention to three-point functions where the middle operator…

High Energy Physics - Theory · Physics 2020-12-08 Nikhil Anand , Zuhair U. Khandker , Matthew T. Walters

Bayesian procedures designed to quantify truncation errors in perturbative calculations of quantum chromodynamics observables are adapted to expansions in effective field theory (EFT). In the Bayesian approach, such truncation errors are…

Nuclear Theory · Physics 2016-05-12 R. J. Furnstahl , N. Klco , D. R. Phillips , S. Wesolowski

The thermodynamics of a scalar field with a quartic interaction is studied within the linear delta expansion (LDE) method. Using the imaginary-time formalism the free energy is evaluated up to second order in the LDE. The method generates…

High Energy Physics - Phenomenology · Physics 2009-01-05 R. L. S. Farias , G. Krein , R. O. Ramos

The lattice parameters, lattice stability and phonon dispersion curves of five proposed phases of Ti: alpha, beta, gamma, delta and omega are investigated within DFT. It is found that the sequence of high pressure phases at zero temperature…

Materials Science · Physics 2014-12-23 Uri Argaman , Eitan Eidelstein , Ohad Levy , Guy Makov

In this paper, we relate the framework of mod-$\phi$ convergence to the construction of approximation schemes for lattice-distributed random variables. The point of view taken here is that of Fourier analysis in the Wiener algebra, allowing…

Probability · Mathematics 2020-07-06 Reda Chhaibi , Freddy Delbaen , Pierre-Loïc Méliot , Ashkan Nikeghbali

Using the newly introduced theory of finite-temperature reduced density matrix functional theory, we apply the first-order approximation to the homogeneous electron gas. We consider both collinear spin states as well as symmetry broken…

Strongly Correlated Electrons · Physics 2015-03-20 Tim Baldsiefen , F. G. Eich , E. K. U. Gross

We consider a single particle tunnelling in a tight-binding model with nearest-neighbour couplings, in the presence of a periodic high-frequency force. An effective Hamiltonian for the particle is derived using an averaging method…

Other Condensed Matter · Physics 2014-02-07 A. P. Itin , A. I. Neishtadt

We present a process-level Poisson-approximation result for the degree-k vertices in a high-density weighted random connection model with preferential-attachment kernel in the unit volume. Our main focus lies on the impact of the left tails…

Probability · Mathematics 2023-11-22 Christian Hirsch , Benedikt Jahnel , Sanjoy Kumar Jhawar , Peter Juhasz

Automatic Music Transcription (AMT) consists in automatically estimating the notes in an audio recording, through three attributes: onset time, duration and pitch. Probabilistic Latent Component Analysis (PLCA) has become very popular for…

Machine Learning · Statistics 2017-04-07 D. Cazau , G. Revillon , W. Yuancheng , O. Adam
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