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High Energy Physics - Lattice

New submissions

[ total of 12 entries: 1-12 ]
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New submissions for Wed, 21 Aug 19

[1]  arXiv:1908.07050 [pdf, other]
Title: Sparsening Algorithm for Multi-Hadron Lattice QCD Correlation Functions
Comments: 18 pages, 5 figures, 4 tables
Subjects: High Energy Physics - Lattice (hep-lat)

Modern advances in algorithms for lattice QCD calculations have steadily driven down the resources required to generate gauge field ensembles and calculate quark propagators, such that, in cases relevant to nuclear physics, performing quark contractions to assemble correlation functions from propagators has become the dominant cost. This work explores a propagator sparsening algorithm for forming correlation functions describing multi-hadron systems, such as light nuclei, with reduced computational cost. The algorithm constructs correlation functions from sparsened propagators defined on a coarsened lattice geometry, where the sparsened propagators are obtained from propagators computed on the full lattice. This algorithm is used to study the low-energy QCD ground-state spectrum using a single Wilson-clover lattice ensemble with $m_{\pi} \approx 800$ MeV. It is found that the extracted ground state masses and binding energies, as well as their statistical uncertainties, are consistent when determined from correlation functions constructed from sparsened and full propagators. In addition, while evidence of modified couplings to excited states is observed in sparsened correlation functions, it is demonstrated that these effects can be removed, if desired, with an inexpensive modification to the sparsened estimator.

Cross-lists for Wed, 21 Aug 19

[2]  arXiv:1908.06143 (cross-list from hep-ph) [pdf, ps, other]
Title: Nucleon's energy-momentum tensor form factors in light-cone QCD
Authors: K. Azizi, U. Ozdem
Comments: 17 Pages, 3 Figures and 4 Tables
Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Experiment (hep-ex); High Energy Physics - Lattice (hep-lat)

We use the energy-momentum tensor (EMT) current to compute the EMT form factors of the nucleon in the framework of the light cone QCD sum rule formalism. In the calculations, we employ the most general form of the nucleon's interpolating field and use the distribution amplitudes (DAs) of the nucleon with two sets of the numerical values of the main input parameters entering the expressions of the DAs. The directly obtained results from the sum rules for the form factors are reliable at $ Q^2\geq1~GeV^2 $: To extrapolate the results to include the zero momentum transfer squared with the aim of estimation of the related static physical quantities, we use some fit functions for the form factors. The numerical computations show that the energy-momentum tensor form factors of the nucleon can be well fitted to the multipole fit form. We compare the results obtained for the form factors at $ Q^2=0 $ with the existing theoretical predictions as well as experimental data on the gravitational form factor d$_1^q(0)$. For the form factors M$_2^q (0)$ and J$^q(0)$ a consistency among the theoretical predictions is seen within the errors: Our results are nicely consistent with the Lattice QCD and chiral perturbation theory predictions. However, there are large discrepancies among the theoretical predictions on d$_1^q(0)$. Nevertheless, our prediction is in accord with the JLab data as well as with the results of the Lattice QCD, chiral perturbation theory and KM15-fit. Our fit functions well define most of the JLab data in the interval $ Q^2\in[0,0.4]~GeV^2 $, while the Lattice results suffer from large uncertainties in this region. As a by-product, some mechanical properties of the nucleon like the pressure and energy density at the center of nucleon as well as its mechanical radius are also calculated and their results are compared with other existing theoretical predictions.

[3]  arXiv:1908.06706 (cross-list from nucl-th) [pdf, other]
Title: Towards a theory of baryon resonances
Authors: Ulf-G. Meißner
Comments: Opening talk (theory), The 12th International Workshop on the Physics of Excited Nucleons (NSTAR 2019), Bonn, Germany (12 pages, 13 figures)
Subjects: Nuclear Theory (nucl-th); High Energy Physics - Experiment (hep-ex); High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph); Nuclear Experiment (nucl-ex)

In this talk, I discuss methods that allow for a systematic and model-independent calculation of the hadron spectrum. These are lattice QCD and/or its corresponding Effective Field Theories. Assorted results are shown and I take the opportunity to discuss some misconceptions often found in the literature.

[4]  arXiv:1908.06935 (cross-list from quant-ph) [pdf, other]
Title: SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
Comments: 8 pages, 4 figures, 3 tables
Subjects: Quantum Physics (quant-ph); High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph); Nuclear Theory (nucl-th)

An improved mapping of one-dimensional SU(2) non-Abelian gauge theory onto qubit degrees of freedom is presented. This new mapping allows for a reduced unphysical Hilbert space. Insensitivity to interactions within this unphysical space is exploited to design more efficient quantum circuits. Local gauge symmetry is used to analytically incorporate the angular momentum alignment, leading to qubit registers encoding the total angular momentum on each link. The results of a multi-plaquette calculation on IBM's quantum hardware are presented.

[5]  arXiv:1908.07295 (cross-list from cond-mat.stat-mech) [pdf, other]
Title: Cost Reduction of Swapping Bonds Part in Anisotropic Tensor Renormalization Group
Authors: Hideaki Oba
Comments: 8 pages, 10 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Lattice (hep-lat); Computational Physics (physics.comp-ph)

The bottleneck part of anisotropic tensor renormalization group (ATRG) is a swapping bonds part which consists of a contraction of two tensors and a partial singular value decomposition of a matrix, and their computational costs are $O(\chi^{2d+1})$, where $\chi$ is the maximum bond dimension and $d$ is the dimensionality of a system. We propose an alternative method for the swapping bonds part and it scales with $O(\chi^{\max(d+3,7)})$, though the total cost of ATRG with the method remains $O(\chi^{2d+1})$. Moreover, the memory cost of the whole algorithm can be reduced from $O(\chi^{2d})$ to $O(\chi^{\max(d+1,6)})$. We examine ATRG with or without the proposed method in the four-dimensional Ising model and find that the free energy density of the proposed algorithm is consistent with that of the original ATRG while the elapsed time is significantly reduced. We also compare the proposed algorithm with higher-order tensor renromalization group (HOTRG) and find that the value of the free energy density of the proposed algorithm is lower than that of HOTRG in the fixed elapsed time.

[6]  arXiv:1908.07476 (cross-list from hep-th) [pdf, ps, other]
Title: Topological effects in continuum 2d $U(N)$ gauge theories
Comments: 7 pages, 6 eps figures
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Lattice (hep-lat)

We study the $\theta$ dependence of the continuum limit of 2d $U(N)$ gauge theories defined on compact manifolds, with special emphasis on spherical ($g=0$) and toroidal ($g=1$) topologies. We find that the coupling between $U(1)$ and $SU(N)$ degrees of freedom survives the continuum limit, leading to observable deviations of the continuum topological susceptibility from the $U(1)$ behavior, especially for $g=0$, in which case deviations remain even in the large $N$ limit.

Replacements for Wed, 21 Aug 19

[7]  arXiv:1812.06797 (replaced) [pdf, ps, other]
Title: Confinement/deconfinement phase transition in SU(3) Yang-Mills theory and non-Abelian dual Meissner effect
Comments: 8 pages, 6 figures, Presented at XIII Quark Confinement and the Hadron Spectrum - Confinement2018, 31 July - 6 August 2018, Maynooth University, Ireland
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)
[8]  arXiv:1904.11153 (replaced) [pdf, ps, other]
Title: Trinity of Strangeon Matter
Authors: Renxin Xu (KIAA, PKU)
Comments: Xiamen-CUSTIPEN whorkshop on the EoS of dense matter (3-7 January 2019)
Journal-ref: AIP Conference Proceedings 2127, 020014 (2019)
Subjects: High Energy Astrophysical Phenomena (astro-ph.HE); High Energy Physics - Lattice (hep-lat); Nuclear Theory (nucl-th)
[9]  arXiv:1905.08605 (replaced) [pdf, other]
Title: $P_c(4457)^+$, $P_c(4440)^+$, and $P_c(4312)^+$: molecules or compact pentaquarks?
Comments: 15 pages, 2 figures, 8 tables. Version accepted by PRD
Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Experiment (hep-ex); High Energy Physics - Lattice (hep-lat); Nuclear Theory (nucl-th)
[10]  arXiv:1906.08353 (replaced) [pdf, ps, other]
Title: Magnetic dipole moments of the spin-$\frac{3}{2}$ doubly heavy baryons
Authors: U. Ozdem
Comments: 9 pages, 2 tables and 2 figures. arXiv admin note: text overlap with arXiv:1804.10921
Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Experiment (hep-ex); High Energy Physics - Lattice (hep-lat)
[11]  arXiv:1908.01096 (replaced) [pdf, ps, other]
Title: On the discrete Wigner function for SU(N)
Comments: 22 pages, 6 figures, minor changes
Journal-ref: J. Phys. A: Math. Theor. (2019)
Subjects: Quantum Physics (quant-ph); High Energy Physics - Lattice (hep-lat); Mathematical Physics (math-ph)
[12]  arXiv:1904.06777 (replaced) [pdf, other]
Title: Flux-tubes in confining gauge theories with gravitational dual
Authors: Vikram Vyas
Comments: 24 pages, 15 figures, 1 table. V2: Removed review sections from the appendix, added discussion on the relationship between the intrinsic shape of the flux-tube and the possible existence of spin-spin dependent potential, added references, python notebooks now included as ancillary files
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)
[ total of 12 entries: 1-12 ]
[ showing up to 2000 entries per page: fewer | more ]

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