Fri·Dec 10, 2021Friday·December 10, 2021

1. 01*

   Correlating confinement to topological fluctuations near the crossover transition in QCD

   Rasmus N. Larsen🇳🇴 · Sayantan Sharma🇮🇳 · Edward Shuryak🇺🇸

   We show the existence of strong (anti)correlations between the topological hot spots and the local values of the trace of the Polyakov loop in $2+1$ flavor QCD with physical quark mass, in the vicinity of the crossover transition corresponding to the simultaneous restoration of chiral symmetry and deconfinement. Using sophisticated lattice techniques, we have carefully identified the topological hot spots using quark zero modes and measured the short-distance fluctuations of the Polyakov loop about them, showing how the latter is repelled quite strongly around the peak of the zero modes. Though we could explain some aspects of these correlations within the instanton-dyon picture, our work sets the stage for a larger goal towards a systematic study of the role of different topological species that interact with the Polyakov loop, establishing the strong connection between topology and confinement.

   hep-lathep-thnucl-thPRD(2022)·5 citations
2. 02*

   Riemannian manifold hybrid Monte Carlo in lattice QCD

   Tuan Nguyen🇺🇸 · Peter Boyle🇬🇧 · Norman Christ🇺🇸 · Yong-Chull Jang🇺🇸 · Chulwoo Jung🇺🇸

   Critical slowing down presents a critical obstacle to lattice QCD calculation at the smaller lattice spacings made possible by Exascale computers. Inspired by the concept of Fourier acceleration, we study a version of the Riemannian Manifold HMC (RMHMC) algorithm in which the canonical mass term of the HMC algorithm is replaced by a rational function of the SU(3) gauge covariant Laplacian. We have developed a suite of tools using Chebyshev filters based on the SU(3) gauge covariant Laplacian that provides the power spectra of both the gauge and fermion forces and determines the spectral dependence of the resulting RMHMC evolution of long- and short-distance QCD observables. These tools can be used to optimize the RMHMC mass term and to monitor the resulting acceleration mode-wise.

   hep-latPoS(2022)·17 citations
3. 03*

   Toward a resolution of the NN controversy

   Amy Nicholson🇺🇸 · Evan Berkowitz🇩🇪 · John Bulava🇩🇰 · Chia Cheng Chang🇯🇵 · M.A. Clark🇺🇸 · Andrew D. Hanlon🇺🇸 · Ben Horz🇺🇸 · Dean Howarth🇺🇸 · Christopher Korber🇩🇪 · Wayne Tai Lee🇺🇸 · Aaron S. Meyer🇺🇸 · Henry Monge-Camacho🇨🇷 and 4 other authors

   Lattice QCD calculations of two-nucleon interactions have been underway for about a decade, but still haven't reached the pion mass regime necessary for matching onto effective field theories and extrapolating to the physical point. Furthermore, results from different methods, including the use of the Luscher formalism with different types of operators, as well as the HALQCD potential method, do not agree even qualitatively at very heavy pion mass. We investigate the role that different operators employed in the literature may play on the extraction of spectra for use within the Luscher method. We first explore expectations from Effective Field Theory solved within a finite volume, for which the exact spectrum may be computed given different physical scenarios. We then present preliminary lattice QCD results for two-nucleon spectra calculated using different operators on a common lattice ensemble.

   hep-latnucl-thPoS(2022)·13 citations
4. 04*

   Finite volume analysis on systematics of the derivative expansion in HAL QCD method

   Takumi Doi🇯🇵 · Yan Lyu🇨🇳 · Hui Tong🇨🇳 · Takuya Sugiura🇯🇵 · Sinya Aoki🇯🇵 · Tetsuo Hatsuda🇯🇵 · Jie Meng🇨🇳 · Takaya Miyamoto🇯🇵

   We study the convergence of the derivative expansion in HAL QCD method from the finite volume analysis. Employing the (2+1)-flavor lattice QCD data obtained at nearly physical light quark masses $(m_{\pi },m_K)\simeq (146,525)$ MeV and the physical charm quark mass, we study two representative systems, $\Omega \Omega$ and ${\Omega }_{ccc}{\Omega }_{ccc}$ in the ${}^1{S}_0$ channel, where both systems were found to have a shallow bound state in our previous studies. The HAL QCD potentials are determined at the leading-order in the derivative expansion, from which finite-volume eigenmodes are obtained. Utilizing the eigenmode projection, we find that the correlation functions are dominated by the ground state (first excited state) in the case of $\Omega \Omega$ (${\Omega }_{ccc}{\Omega }_{ccc}$). In both $\Omega \Omega$ and ${\Omega }_{ccc}{\Omega }_{ccc}$, the spectra obtained from eigenmode-projected temporal correlators are found to be consistent with those from the HAL QCD potential for both the ground and first excited state. These results show that the derivative expansion is well converged in these systems, and also provide a first explicit evidence that the HAL QCD method enables us to reliably extract the binding energy of the ground state even from the correlator dominated by excited scattering states.

   hep-latPoS(2022)·0 citations
5. 05*

   Lattice field computations via recursive numerical integration

   Tobias Hartung🇨🇾 · Karl Jansen🇩🇪 · Frances Y. Kuo🇦🇺 · Hernan Leövey🇩🇪 · Dirk Nuyens🇧🇪 · Ian H. Sloan🇦🇺

   We investigate the application of efficient recursive numerical integration strategies to models in lattice gauge theory from quantum field theory. Given the coupling structure of the physics problems and the group structure within lattice cubature rules for numerical integration, we show how to approach these problems efficiently by means of Fast Fourier Transform techniques. In particular, we consider applications to the quantum mechanical rotor and compact U(1) lattice gauge theory, where the physical dimensions are two and three. This proceedings article reviews our results presented in J. Comput. Phys 443 (2021) 110527.

   hep-latPoS(2022)·3 citations
6. 06*

   Three-particle scattering amplitudes from lattice QCD

   Fernando Romero-López🇺🇸

   Lattice QCD already offers the possibility of extracting three-hadron scattering quantities from first principles. In the last few years, significant progress has been achieved in developing and applying the finite-volume three-body formalism. The formalism is now able to treat physically relevant systems of three mesons, including those with resonances, as well as three-body decays. In this talk, I will review the state of the art, and comment on recent applications to lattice QCD data for systems of three pions and kaons.

   hep-lathep-phnucl-thRev.Mex.Fis.Suppl.(2022)·13 citations
7. 07*

   Going to the light front with contour deformations

   Gernot Eichmann🇵🇹 · Eduardo Ferreira🇵🇹 · Alfred Stadler🇵🇹

   We explore a new method to calculate the valence light-front wave function of a system of two interacting particles, which is based on contour deformations combined with analytic continuation methods to project the Bethe-Salpeter wave function onto the light front. In this proof-of-concept study, we solve the Bethe-Salpeter equation for a scalar model and find excellent agreement between the light-front wave functions obtained with contour deformations and those obtained with the Nakanishi method frequently employed in the literature. The contour-deformation method is also able to handle extensions of the scalar model that mimic certain features of QCD such as unequal masses and complex singularities. In principle the method is suitable for computing parton distributions on the light front such as PDFs, TMDs and GPDs in the future.

   ↳ hep-phhep-lathep-thPRD(2022)·27 citations
8. 08*

   Timelike and spacelike kernel functions for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment

   A.V.Nesterenko🇷🇺

   The complete set of relations, which mutually express the spacelike and timelike kernel functions for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment $a_{\mu }^{\text{HVP}}$ in terms of each other, is obtained. By making use of the derived relations the explicit expression for the next-to-leading order spacelike kernel function, which enters the representation for $a_{\mu }^{\text{HVP}}$ involving the hadronic vacuum polarization function, is obtained. The corresponding next-to-leading order spacelike kernel function, which appears in the representation for $a_{\mu }^{\text{HVP}}$ involving the Adler function, is calculated numerically. The obtained results can be employed in the assessments of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment in the framework of the spacelike methods, such as lattice studies, MUonE project, and others.

   ↳ hep-phhep-latJ.Phys.G(2022)·17 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.