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The use of G-parity boundary conditions to compute Delta I = 1/2, K to pi pi decays is reviewed and a method to consistently treat both the pions and kaon in full QCD proposed. This approach creates a physical, final-state, pion momentum…

High Energy Physics - Lattice · Physics 2010-03-26 Changhoan Kim , Norman H. Christ

This work studies limits of Pfaffian systems, a class of first-order PDEs appearing in the Feynman integral calculus. Such limits appear naturally in the context of scattering amplitudes when there is a separation of scale in a given set of…

High Energy Physics - Theory · Physics 2023-05-17 Vsevolod Chestnov , Saiei J. Matsubara-Heo , Henrik J. Munch , Nobuki Takayama

The current status of bounds on and limits of fermion determinants in two, three and four dimensions in QED and QCD is reviewed. A new lower bound on the two-dimensional QED determinant is derived. An outline of the demonstration of the…

High Energy Physics - Theory · Physics 2009-11-07 M. P. Fry

We present a full result for the 2+1 flavor QCD equation of state. All the systematics are controlled, the quark masses are set to their physical values, and the continuum extrapolation is carried out. This extends our previous studies…

High Energy Physics - Lattice · Physics 2014-02-18 Szabocls Borsanyi , Zoltan Fodor , Christian Hoelbling , Sandor D. Katz , Stefan Krieg , Kalman K. Szabo

We report on a lattice QCD calculation of the nucleon axial charge, $g_A$, using M\"{o}bius Domain-Wall fermions solved on the dynamical $N_f=2+1+1$ HISQ ensembles after they are smeared using the gradient-flow algorithm. The calculation is…

We apply twisted boundary conditions to lattice QCD simulations of three-point correlation functions in order to access spatial components of hadronic momenta different from the integer multiples of 2 pi / L. We calculate the vector and…

High Energy Physics - Lattice · Physics 2009-11-11 D. Guadagnoli , F. Mescia , S. Simula

I review recent developments in determining the QCD phase diagram by means of lattice simulations. Since the invention of methods to side-step the sign problem a few years ago, a number of additional variants have been proposed, and…

High Energy Physics - Lattice · Physics 2007-05-23 Owe Philipsen

In order to calculate QED corrections to hadronic physical quantities by means of lattice simulations, a coherent description of electrically-charged states in finite volume is needed. In the usual periodic setup, Gauss's law and large…

High Energy Physics - Theory · Physics 2016-03-23 Biagio Lucini , Agostino Patella , Alberto Ramos , Nazario Tantalo

We present some aspects of high precision calculations in the context of Lattice Quantum Field Theory. This work is a collection of three studies done during my Ph.D. period. First we present how to use the reweighting technique to…

High Energy Physics - Lattice · Physics 2017-10-04 Andrea Bussone

We study the topological susceptibility, chi, in QCD with two quark flavours using the lattice field configurations recently produced by the UKQCD collaboration. We find clear evidence for the expected suppression at small quark mass, and…

High Energy Physics - Phenomenology · Physics 2007-05-23 UKQCD Collaboration , A. Hart , M. Teper

We report on an ongoing non-perturbative determination of the improvement coefficient of the axial current, $c_\mathrm A$, with three flavours of dynamical $\mathrm O(a)$ improved Wilson quarks and tree-level Symanzik improved gauge action.…

High Energy Physics - Lattice · Physics 2013-12-13 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier

Complex Langevin simulations have been able to successfully reproduce results from Monte Carlo methods in the region where the sign problem is mild and make predictions when it is exponentially hard. We present here our study of the QCD…

High Energy Physics - Lattice · Physics 2016-10-25 Gert Aarts , Felipe Attanasio , Benjamin Jäger , Dénes Sexty

This paper is devoted to the study of QCD equation of state in external magnetic field and nonzero baryon density. Our study is carried out by means of lattice simulation with 2+1 dynamical staggered quarks at the physical masses. The…

High Energy Physics - Lattice · Physics 2024-05-28 N. Astrakhantsev , V. V. Braguta , A. Yu. Kotov , A. A. Roenko

Confronted with some surprising claims about experimentally measured or theoretically expected dependencies on the involved momentum transfer of various form factors of pseudoscalar mesons, we reassess the present status of these quantities…

High Energy Physics - Phenomenology · Physics 2012-11-01 Irina Balakireva , Wolfgang Lucha , Dmitri Melikhov

We study an extended QCD model in (1+1) dimensions obtained from QCD in 4D by compactifying two spatial dimensions and projecting onto the zero-mode subspace. We work out this model in the large $N_c$ limit and using light cone gauge but…

High Energy Physics - Theory · Physics 2016-08-16 Jorge Alfaro , Alexander A. Andrianov , Pedro Labraña

We present a lattice QCD study of the $K^*(892)$ resonance using eight $N_f=2+1$ Wilson-Clover ensembles with three lattice spacings and six pion masses ranging from 135 to 320 MeV. For each ensemble, a large number of finite volume energy…

High Energy Physics - Lattice · Physics 2026-04-22 Qu-Zhi Li , Chuan Liu , Liuming Liu , Peng Sun , Jia-Jun Wu , Zhiguang Xiao , Han-Qing Zheng

Machine-learning based methods like physics-informed neural networks and physics-informed neural operators are becoming increasingly adept at solving even complex systems of partial differential equations. Boundary conditions can be…

Numerical Analysis · Mathematics 2025-10-29 Niklas Göschel , Sebastian Götschel , Daniel Ruprecht

We obtain the electromagnetic pion form factor (emFF) $F_\pi$ for spacelike mid-range of momentum transfer in QCD. We use renormalization group (RG) summation within the light cone sum rules (LCSRs) to obtain the QCD radiative corrections…

High Energy Physics - Phenomenology · Physics 2025-12-23 Cesar Ayala , S. V. Mikhailov , A. V. Pimikov

The calculation on the lattice of cross--sections, form--factors and decay rates associated to phenomenologically relevant physical processes is complicated by the spatial momenta quantization rule arising from the introduction of limited…

High Energy Physics - Lattice · Physics 2009-11-10 Nazario Tantalo

We present the final results from a multi-year study of the in-medium spectral properties of heavy quarkonium bound states on the lattice. In this work we combine high statistics $N_f=2+1$ ensembles from the HotQCD collaboration with the…

High Energy Physics - Lattice · Physics 2019-03-07 Seyong Kim , Peter Petreczky , Alexander Rothkopf