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Investigating efficient methods for computing four-quark correlation functions. (English) Zbl 1411.81025

Summary: We discuss and compare the efficiency of various methods, combinations of point-to-all propagators, stochastic timeslice-to-all propagators, the one-end trick and sequential propagators, to compute two-point correlation functions of two-quark and four-quark interpolating operators of different structure including quark-antiquark type, mesonic molecule type, diquark-antidiquark type and two-meson type. Although we illustrate our methods in the context of the \(a_0(980)\), they can be applied for other multi-quark systems, where similar diagrams appear. Thus our results could provide helpful guidelines on the choice of methods for correlation function computation for future lattice QCD studies of meson-meson scattering and possibly existing tetraquark states.

MSC:

81-08 Computational methods for problems pertaining to quantum theory
81T80 Simulation and numerical modelling (quantum field theory) (MSC2010)
81T25 Quantum field theory on lattices
81V05 Strong interaction, including quantum chromodynamics

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[1] Ablikim, M., Phys. Rev. Lett., 110, 252001 (2013), arXiv:1303.5949 [hep-ex]
[2] Liu, Z. Q., Phys. Rev. Lett., 110, 252002 (2013), arXiv:1304.0121 [hep-ex]
[3] Bondar, A., Phys. Rev. Lett., 108, 122001 (2012), arXiv:1110.2251 [hep-ex]
[4] C. Amsler, 2014. http://pdg.lbl.gov/2014/reviews/rpp2014-rev-scalar-mesons.pdf; C. Amsler, 2014. http://pdg.lbl.gov/2014/reviews/rpp2014-rev-scalar-mesons.pdf
[5] Peardon, M., Phys. Rev. D, 80, 054506 (2009), arXiv:0905.2160 [hep-lat]
[6] Lang, C. B.; Leskovec, L.; Mohler, D.; Prelovsek, S., J. High Energy Phys., 1509, 089 (2015), arXiv:1503.05363 [hep-lat]
[7] Dudek, J. J., Phys. Rev. D, 93, 094506 (2016), arXiv:1602.05122 [hep-ph]
[8] G. Moir, et al., arXiv:1607.07093; G. Moir, et al., arXiv:1607.07093
[9] DeGrand, T.; Detar, C. E., Lattice Methods for Quantum Chromodynamics (2006), World Scientific · Zbl 1110.81001
[10] Gattringer, C.; Lang, C. B., Lecture Notes in Phys., 788 (2010)
[11] Bernardson, S.; McCarty, P.; Thron, C., Comput. Phys. Comm., 78, 256 (1993)
[12] Dong, S.-J.; Liu, K.-F., Phys. Lett. B, 328, 130 (1994), [hep-lat/9308015]
[13] Foster, M., Phys. Rev. D, 59, 074503 (1999), [hep-lat/9810021]
[14] McNeile, C., Phys. Rev. D, 73, 074506 (2006), [hep-lat/0603007]
[15] Martinelli, G.; Sachrajda, C. T., Nuclear Phys. B, 316, 355 (1989)
[16] Wagner, M., PoS ConfinementX, 108 (2012), arXiv:1212.1648 [hep-lat]
[17] Wagner, M., Acta Phys. Polon. Supp., 6, 3, 847 (2013), arXiv:1302.3389 [hep-lat]
[18] Wagner, M., PoS LATTICE, 2013, 162 (2013), arXiv:1309.0850 [hep-lat]
[19] Wagner, M., J. Phys. Conf. Ser., 503, 012031 (2014), arXiv:1310.6905 [hep-lat]
[20] Berlin, J., PoS LATTICE, 2014, 104 (2014), arXiv:1410.8757 [hep-lat]
[21] Berlin, J., PoS LATTICE, 2015, 096 (2016), arXiv:1508.04685 [hep-lat]
[22] Jaffe, R. L., Phys. Rep., 409, 1 (2005), hep-ph/0409065
[23] Alexandrou, C.; de Forcrand, P.; Lucini, B., Phys. Rev. Lett., 97, 222002 (2006), hep-lat/0609004
[24] Wagner, M.; Wiese, C., J. High Energy Phys., 1107, 016 (2011), arXiv:1104.4921 [hep-lat]
[25] Boyle, P. A.; Juttner, A.; Kelly, C.; Kenway, R. D., J. High Energy Phys., 0808, 086 (2008), arXiv:08041501 [hep-lat]
[26] Aoki, S., Phys. Rev. D, 79, 034503 (2009), arXiv:0807.1661 [hep-lat]
[27] Wiese, C., Efficient Computation of Meson and Four-Quark Correlation Functions (2012), Humboldt University of Berlin, (Master of Science thesis)
[28] Prelovsek, S., Phys. Rev. D, 82, 094507 (2010), arXiv:1005.0948 [hep-lat]
[29] Alexandrou, C., J. High Energy Phys., 1304, 137 (2013), arXiv:1212.1418 [hep-lat]
[30] Wakayama, M., Phys. Rev. D, 91, 094508 (2015), arXiv:1412.3909 [hep-lat]
[31] Blossier, B., J. High Energy Phys., 0904, 094 (2009), arXiv:0902.1265 [hep-lat]
[32] J. Finkenrath, et al., talk at LATTICE2016 (2016).; J. Finkenrath, et al., talk at LATTICE2016 (2016).
[33] Edwards, R. G., Nuclear Phys. Proc. Suppl., 140, 832 (2005), hep-lat/0409003
[34] Iwasaki, Y., Nuclear Phys. B, 258, 141 (1985)
[35] Jansen, K., J. High Energy Phys., 0812, 058 (2008), arXiv:0810.1843 [hep-lat]
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.