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We present a new method to calculate moments of parton distribution functions of any order with lattice QCD computations. This method leverages the gradient flow for fermion and gauge fields. The flowed matrix elements of twist-2 operators…

High Energy Physics - Lattice · Physics 2024-10-02 Andrea Shindler

We present a general-purpose algorithm to extrapolate a low rank function of two variables from a small domain to a larger one. It is based on the cross-interpolation formula. We apply it to reconstruct physical quantities in some quantum…

Strongly Correlated Electrons · Physics 2024-07-25 Matthieu Jeannin , Yuriel Núñez-Fernández , Thomas Kloss , Olivier Parcollet , Xavier Waintal

The self-energy-functional approach proposed recently is applied to the single-band Hubbard model at half-filling to study the Mott-Hubbard metal-insulator transition within the most simple but non-trivial approximation. This leads to a…

Strongly Correlated Electrons · Physics 2007-05-23 M. Potthoff

Excitonic effects in solids can be calculated using the Bethe-Salpeter equation (BSE) or the Casida equation of time-dependent density-functional theory (TDDFT). In both methods, the Tamm-Dancoff approximation (TDA), which decouples…

Materials Science · Physics 2016-10-14 Young-Moo Byun , Carsten A. Ullrich

We study the excitation energy transfer (EET) for a simple model in which a massless scalar particle is exchanged between two molecules. We show that a finite-size effect appears in EET by the interaction energy due to overlapping of the…

Chemical Physics · Physics 2017-06-01 Nobuki Maeda , Tetsuo Yabuki , Yutaka Tobita , Kenzo Ishikawa

We interpret the moment generating function ${\bf E}(e^{tX}):= {\rm exp}_F(t) \in {\bf R}[[t]]$ of a random variable $X$ as the exponential of an associated one-dimensional formal group law $F$ defined over ${\bf R}$.

Probability · Mathematics 2023-04-04 Jack Morava

A new force balance model for the EFIT magnetohydrodynamic equilibrium technique for tokamaks is presented which includes the full toroidal flow and anisotropy changes to the Grad-Shafranov equation. The free functions are poloidal flux…

Plasma Physics · Physics 2015-06-12 Michael Fitzgerald , Lynton C. Appel , Matthew J. Hole

The gradient-flow formulation of the energy-momentum tensor of QCD is extended to NNLO perturbation theory. This means that the Wilson coefficients which multiply the flowed operators in the corresponding expression for the regular…

High Energy Physics - Lattice · Physics 2025-05-14 Robert V. Harlander , Yannick Kluth , Fabian Lange

A Trotter-Suzuki mapping is used to calculate the finite-temperature properties of the one-dimensional supersymmetric $t-J$ model. This approach allows for the exact calculation of various thermodynamical properties by means of the quantum…

Strongly Correlated Electrons · Physics 2009-10-28 G. Juttner , A. Klumper , J. Suzuki

We formalize energy-scaling arguments in the Standard Model Effective Field Theory (SMEFT) to estimate effects of operators up to dimension ten. Introducing a classification based on the number of external legs and an energy-counting…

High Energy Physics - Phenomenology · Physics 2025-07-28 Benoît Assi , Adam Martin

This paper is an addendum to the article by Candelier, Mehaddi & Vauquelin (2013) where the motion of a particle in a stratified fluid is investigated theoretically, at small Reynolds and P\'eclet numbers. We review briefly the method of…

Fluid Dynamics · Physics 2013-07-25 Fabien Candelier , Rabah Mehaddi , Olivier Vauquelin

Force-free extrapolations are widely used to study the magnetic field in the solar corona based on surface measurements. The extrapolations assume that the ratio of internal energy of the plasma to magnetic energy, the plasma-beta is…

Solar and Stellar Astrophysics · Physics 2015-11-25 H. Peter , J. Warnecke , L. P. Chitta , R. H. Cameron

The emergence of abundant electricity time series (ETS) data provides ample opportunities for various applications in the power systems, including demand-side management, grid stability, and consumer behavior analysis. Deep learning models…

Machine Learning · Computer Science 2024-10-04 Shihao Tu , Yupeng Zhang , Jing Zhang , Zhendong Fu , Yin Zhang , Yang Yang

Fragmentation functions for eta mesons are extracted at next-to-leading order accuracy of QCD in a global analysis of data taken in electron-positron annihilation and proton-proton scattering experiments. The obtained parametrization is in…

High Energy Physics - Phenomenology · Physics 2011-02-15 C. A. Aidala , F. Ellinghaus , R. Sassot , J. P. Seele , M. Stratmann

An extrapolation method in shell model calculations with deformed basis is presented, which uses a scaling property of energy and energy variance for a series of systematically approximated wave functions to the true one. Such approximated…

Nuclear Theory · Physics 2009-11-10 Takahiro Mizusaki

The gradient-flow formalism provides a framework for the direct determination of moments of parton distribution functions (PDFs) from lattice QCD calculations. Their conversion from the gradient-flow scheme to $\overline{\text{MS}}$…

High Energy Physics - Phenomenology · Physics 2025-11-24 Robert V. Harlander , Jonas T. Kohnen , Andrea Shindler

We define the energy-momentum tensor on lattice for the $\lambda \phi^4$ and for the nonlinear $\sigma$-model Symanzik tree-improved actions, using Ward identities or an explicit matching procedure. The resulting operators give the correct…

High Energy Physics - Lattice · Physics 2009-10-28 A. Buonanno , G. Cella , G. Curci

Optical processes in insulators and semiconductors, including excitonic effects, can be described in principle exactly using time-dependent density-functional theory (TDDFT). Starting from a linearization of the TDDFT semiconductor Bloch…

Materials Science · Physics 2015-05-13 V. Turkowski , C. A. Ullrich

In the context of Markov evolution, we present two original approaches to obtain Generalized Fluctuation-Dissipation Theorems (GFDT), by using the language of stochastic derivatives and by using a family of exponential martingales…

Statistical Mechanics · Physics 2013-12-04 Raphael Chetrite , Shamik Gupta

The letter proposes an adaptive model reduction approach based on tensor decomposition to speed up time-domain power system simulation. Taylor series expansion of a power system dynamic model is calculated around multiple equilibria…

Systems and Control · Computer Science 2019-04-02 Denis Osipov , Kai Sun
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