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We present our sparse modeling study to extract spectral functions from Euclidean-time correlation functions. In this study covariance between different Euclidean times of the correlation function is taken into account, which was not done…

High Energy Physics - Lattice · Physics 2023-11-28 Junichi Takahashi , Hiroshi Ohno , Akio Tomiya

We calculate correlation functions of two local operators within the nucleon carrying momentum. We resolve their dependence on the spatial distance of the currents. This is carried out for all Wick contractions, taking into account several…

High Energy Physics - Lattice · Physics 2019-11-13 Christian Zimmermann

We study long-range correlation functions of the rectangular Ising lattice with cyclic boundary conditions. Specifically, we consider the situation in which two spins are on the same column, and at least one spin is on or near free…

Statistical Mechanics · Physics 2009-11-10 Shu-Chiuan Chang , Masuo Suzuki

In present work, a relation that connects the integrated correlation function of a trapped two-particle system to infinite volume particles scattering phase shift is derived. It has the potential to provide an alternative approach for…

High Energy Physics - Lattice · Physics 2023-09-20 Peng Guo , Vladimir Gasparian

We compute structure functions in the Hamiltonian formalism on a momentum lattice using a physically motivated regularisation that links the maximal parton number to the lattice size. We show for the $\phi ^4 _{3+1}$ theory that our method…

High Energy Physics - Lattice · Physics 2007-05-23 Helmut Kroger , Norbert Scheu

We introduce and study finite lattice kinetic equations for bosons, fermions, and discrete NLS. For each model this closed evolution equation provides an approximate description for the evolution of the appropriate covariance function in…

Mathematical Physics · Physics 2026-01-16 Jani Lukkarinen , Sakari Pirnes , Aleksis Vuoksenmaa

The problem of calculating real-time correlation functions is formulated in terms of an imaginary-time partial differential equation. The latter is solved analytically for the perturbed harmonic oscillator and compared with the known exact…

Statistical Mechanics · Physics 2007-05-23 P. E. Kornilovitch

We show how to calculate correlation functions of two matrix models. Our method consists in making full use of the integrable hierarchies and their reductions, which were shown in previous papers to naturally appear in multi--matrix models.…

High Energy Physics - Theory · Physics 2008-02-03 L. Bonora , C. S. Xiong

We report on the observation of anti-ferromagnetic correlations of ultracold fermions in a variety of optical lattice geometries that are well described by the Hubbard model, including dimers, 1D chains, ladders, isolated and coupled…

Quantum Gases · Physics 2015-12-30 Daniel Greif , Gregor Jotzu , Michael Messer , Rémi Desbuquois , Tilman Esslinger

In quantum field theories, spectral densities are directly related to relevant physical observables. In Lattice QCD, their non-perturbative extraction from first principles requires the Inverse Laplace transform of Euclidean-time…

High Energy Physics - Lattice · Physics 2025-01-29 Matteo Saccardi , Mattia Bruno , Leonardo Giusti

A method for calculating pair correlation functions in a crystal is developed. The method is based on separating the one- and two- particle correlation functions into the symmetry conserving and the symmetry broken parts. The conserving…

Soft Condensed Matter · Physics 2015-06-19 Anubha Jaiswal , Atul S. Bharadwaj , Yashwant Singh

The lower moments of the unpolarized and polarized deep-inelastic structure functions of the nucleon are calculated on the lattice. The calculation is done with Wilson fermions and for three values of the hopping parameter $\kappa$, so that…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , E. -M. Ilgenfritz , H. Oelrich , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

The matching between Schrodinger Functional renormalization schemes and conventional perturbative schemes is usually done using an intermediate lattice scheme. We propose to do the matching directly. This requires the perturbative…

High Energy Physics - Lattice · Physics 2016-09-01 Eduardo Obeso

In two-dimensional lattice fermion model a determinant representation for the two-point correlation function of the twist field in the disorder phase is obtained. This field is defined by twisted boundary conditions for lattice fermion…

High Energy Physics - Theory · Physics 2007-05-23 Anatolij I. Bugrij , Vitalij N. Shadura

We derive the two-point spectral correlation function of the Dirac operator with a specific external source in the $\epsilon$-regime of QCD. This correlation function has a unique and strong dependence on $F_\pi$, and thus provides an novel…

High Energy Physics - Lattice · Physics 2009-11-11 P. H. Damgaard , Urs M. Heller , K. Splittorff , B. Svetitsky

I make some simple observations about the calculation of weighted averages over energy of Minkowski space spectral densities from weighted averages over time of Euclidean space correlation functions, measured in latice simulations. The…

High Energy Physics - Lattice · Physics 2022-07-20 Thomas DeGrand

It is suggested in the paper by A.J. Chambers {\it et al.} (Phys. Rev. Lett. 118, 242001 (2017), arXiv:1703.01153) that the time-ordered current-curent correlator in the nucleon calculated on the lattice is to be identified as the forward…

High Energy Physics - Phenomenology · Physics 2017-12-08 Keh-Fei Liu

Lattice quantum chromodynamics (QCD) provides the only known systematic, nonperturbative method for first-principles calculations of nucleon structure. However, for quantities such as lightfront parton distribution functions (PDFs) and…

High Energy Physics - Lattice · Physics 2017-07-19 Raúl A. Briceño , Maxwell T. Hansen , Christopher J. Monahan

We present results for lattice QCD in the limit of infinite gauge coupling on a discrete spatial but continuous Euclidean time lattice. A worm type Monte Carlo algorithm is applied in order to sample two-point functions which gives access…

High Energy Physics - Lattice · Physics 2018-11-06 Marc Klegrewe , Wolfgang Unger

Correlation functions in Euclidean conformal field theories in four dimensions are expressed as representations of the conformal group $SL(2,\H)$, $\H$ being the field of quaternions, on the configuration space of points. The…

High Energy Physics - Theory · Physics 2021-06-30 Aritra Pal , Koushik Ray