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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…

Large Momentum Effective Theory (LaMET) provides a general framework for computing the multi-dimensional partonic structure of the proton from first principles using lattice quantum chromodynamics (QCD). In this effective field theory…

High Energy Physics - Lattice · Physics 2026-03-04 Yong Zhao

Starting from an extension of the Poisson bracket structure and Kubo-Martin-Schwinger-property of classical statistical mechanics of continuous systems to spin systems, defined on a lattice, we derive a series of, as we think, new and…

High Energy Physics - Theory · Physics 2007-05-23 Requardt M

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

We calculate radiative corrections to the quark quasidistribution in lattice perturbation theory at one loop to leading orders in the lattice spacing. We also consider one-loop corrections in continuum Euclidean space. We find the infrared…

High Energy Physics - Phenomenology · Physics 2017-05-17 Carl E. Carlson , Michael Freid

We study a possible realization of the position- and momentum-correlated atomic pairs that are confined to adjacent sites of two mutually shifted optical lattices and are entangled via laser-induced dipole-dipole interactions. The…

Quantum Physics · Physics 2007-05-23 T. Opatrny , M. Kolar , G. Kurizki , B. Deb

We incorporate recent calculations of one-loop corrections for the reduced Ioffe-time pseudo-distribution ${\mathfrak M} (\nu,z_3^2)$ to extend the leading-logarithm analysis of lattice data obtained by Orginos et al. We observe that the…

High Energy Physics - Phenomenology · Physics 2018-07-25 Anatoly Radyushkin

To calculate the transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice QCD, an important goal yet to be realized, it is crucial to establish a viable non-perturbative renormalization approach for linear…

High Energy Physics - Lattice · Physics 2022-08-31 Kuan Zhang , Xiangdong Ji , Yi-Bo Yang , Fei Yao , Jian-Hui Zhang

Recent developments showed that hadron light-cone parton distributions could be directly extracted from spacelike correlators, known as quasi parton distributions, in the large hadron momentum limit. Unlike the normal light-cone parton…

High Energy Physics - Phenomenology · Physics 2017-01-04 Jiunn-Wei Chen , Xiangdong Ji , Jian-Hui Zhang

We examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics. We argue that after the continuum limit is taken, these non-local matrix elements give…

High Energy Physics - Lattice · Physics 2018-12-26 Joseph Karpie , Kostas Orginos , Savvas Zafeiropoulos

In this work we continue our effort to explore a recent proposal, which allows light-cone distributions to be extracted from purely spatial correlations, being thus accessible to lattice methods. In order to test the feasibility of this…

Transverse-momentum-dependent parton distribution functions (TMDs) can be studied from first principles by a perturbative matching onto lattice-calculable quantities: so-called lattice TMDs, which are a class of equal-time correlators that…

High Energy Physics - Phenomenology · Physics 2022-05-18 Markus A. Ebert , Stella T. Schindler , Iain W. Stewart , Yong Zhao

Perturbative expansions for short-distance quantities in QCD are factorially divergent and this deficiency can be turned into a useful tool to investigate nonperturbative corrections. In this work, we use this approach to study the…

High Energy Physics - Phenomenology · Physics 2020-10-13 V. Braun , A. Vladimirov , J. -H. Zhang

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 present a lattice-QCD calculation of the unpolarized isovector parton distribution function (PDF) using ensembles at the physical pion mass with large proton boost momenta $P_z \in \{2.2,2.6,3.0\}$~GeV within the framework of…

High Energy Physics - Lattice · Physics 2018-05-21 Jiunn-Wei Chen , Luchang Jin , Huey-Wen Lin , Yu-Sheng Liu , Yi-Bo Yang , Jian-Hui Zhang , Yong Zhao

In this document, we summarize the status and challenges of calculating parton physics in lattice QCD for the US Particle Physics Community Planning Exercise (a.k.a. "Snowmass"). While PDF-moments calculations have been very successful and…

We present results for the unpolarized parton distribution function of the nucleon computed in lattice QCD at the physical pion mass. This is the first study of its kind employing the method of Ioffe time pseudo-distributions. Beyond the…

High Energy Physics - Lattice · Physics 2020-12-30 Bálint Joó , Joseph Karpie , Kostas Orginos , Anatoly V. Radyushkin , David G. Richards , Savvas Zafeiropoulos

I review the current status of lattice calculations for two selected observables related to nucleon structure: the second moment of the unpolarized parton distribution, <x> (u-d), and the first moment of the polarized parton distribution,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wolfram Schroers

We present the first calculation of the $x$-dependence of the proton generalized parton distributions (GPDs) within lattice QCD. Results are obtained for the isovector unpolarized and helicity GPDs. We compute the appropriate matrix…

Consider a point process in Euclidean space obtained by perturbing the integer lattice with independent and identically distributed random vectors. Under mild assumptions on the law of the perturbations, we construct a translation-invariant…

Probability · Mathematics 2025-06-23 Dor Elboim , Yinon Spinka , Oren Yakir