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A Gentle Introduction to Lattice Field Theory [PDF]

open access: yesEntropy
The principles of Lattice Field Theory (LFT), in particular Lattice Gauge Theory (LGT), are explained for a nonspecialist audience. We describe some of the successes of the program; we also discuss the relationship between LFT and Quantum Cellular ...
Erhard Seiler
doaj   +7 more sources

Regularization methods for Nuclear Lattice Effective Field Theory

open access: yesPhysics Letters B, 2015
We investigate Nuclear Lattice Effective Field Theory for the two-body system for several lattice spacings at lowest order in the pionless as well as in the pionful theory.
Nico Klein   +3 more
doaj   +3 more sources

Real-time spin systems from lattice field theory

open access: yesJournal of High Energy Physics, 2023
We construct a lattice field theory method for computing the real-time dynamics of spin systems in a thermal bath. This is done by building on previous work of Takano with Schwinger-Keldysh and functional differentiation techniques. We derive a Schwinger-
Neill C. Warrington
doaj   +1 more source

Relativistic N-particle energy shift in finite volume

open access: yesJournal of High Energy Physics, 2021
We present a general method for deriving the energy shift of an interacting system of N spinless particles in a finite volume. To this end, we use the nonrelativistic effective field theory (NREFT), and match the pertinent low-energy constants to the ...
Fernando Romero-López   +3 more
doaj   +1 more source

The continuum and leading twist limits of parton distribution functions in lattice QCD

open access: yesJournal of High Energy Physics, 2021
In this study, we present continuum limit results for the unpolarized parton distribution function of the nucleon computed in lattice QCD. This study is the first continuum limit using the pseudo-PDF approach with Short Distance Factorization for ...
Joseph Karpie   +4 more
doaj   +1 more source

Implementing the three-particle quantization condition for π + π + K + and related systems

open access: yesJournal of High Energy Physics, 2022
Recently, the formalism needed to relate the finite-volume spectrum of systems of nondegenerate spinless particles has been derived. In this work we discuss a range of issues that arise when implementing this formalism in practice, provide further ...
Tyler D. Blanton   +2 more
doaj   +1 more source

An alternative lattice field theory formulation inspired by lattice supersymmetry

open access: yesJournal of High Energy Physics, 2017
We propose an unconventional formulation of lattice field theories which is quite general, although originally motivated by the quest of exact lattice supersymmetry. Two long standing problems have a solution in this context: 1) Each degree of freedom on
Alessandro D’Adda   +2 more
doaj   +1 more source

More on the flavor dependence of m ϱ /f π

open access: yesJournal of High Energy Physics, 2021
In previous work, [ arXiv:1905.01909 ], we have calculated the m ϱ /fπ ratio in the chiral and continuum limit for SU(3) gauge theory coupled to N f = 2, 3, 4, 5, 6 fermions in the fundamental representation.
Andrey Yu. Kotov   +3 more
doaj   +1 more source

Tensor renormalization group study of two-dimensional U(1) lattice gauge theory with a θ term

open access: yesJournal of High Energy Physics, 2020
We make an analysis of the two-dimensional U(1) lattice gauge theory with a θ term by using the tensor renormalization group. Our numerical result for the free energy shows good consistency with the exact one at finite coupling constant.
Yoshinobu Kuramashi, Yusuke Yoshimura
doaj   +1 more source

Nucleon momentum fraction, helicity and transversity from 2+1-flavor lattice QCD

open access: yesJournal of High Energy Physics, 2021
A detailed analysis of the systematic uncertainties in the calculation of the isovector momentum fraction, 〈x〉 u − d , helicity moment, 〈x〉Δu − Δd , and the transversity moment, 〈x〉 δu − δd , of the nucleon is presented using high-statistics data on ...
Nucleon Matrix Elements (NME) collaboration   +7 more
doaj   +1 more source

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