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Bornyakov V, Goy V, Kudrov I, Rogalyov R. Decomposition of the static potential in the Maximal Abelian gauge. EPJ WEB OF CONFERENCES 2022. [DOI: 10.1051/epjconf/202225802009] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Decomposition of SU(2) gauge field into monopole and monopoleless components is studied in SU(2) gluodynamics and in QC2D with zero and nonzero quark chemical potential after fixing MA gauge. For both components we calculate respective static potential and compare their sum with the nonabelian static potential. We demonstrate good agreement in the confinement phase and discuss the implications of our results.
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Höllwieser R, Knechtli F, Peardon M. The static potential using trial states from Laplacian eigenmodes. EPJ WEB OF CONFERENCES 2022. [DOI: 10.1051/epjconf/202227402008] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Abstract
We compute the static potential of a quark-antiquark pair in lattice QCD using a method which is not based on Wilson loops, but where the trial states are formed by eigenvector components of the covariant lattice Laplace operator. The computational effort of this method is significantly lower than the standard Wilson loop calculation, when computing the static potential not only for on-axis, but also for many off-axis quark-antiquark separations, i.e., when a fine spatial resolution is required, e.g., for string breaking calculations. We further improve the signal by using multiple eigenvector pairs, weighted with Gaussian profile functions of the eigenvalues, providing a basis for a generalized eigenvalue problem (GEVP), as it was recently introduced to improve distillation in meson spectroscopy. We show results from the new method for the static potential with dynamical fermions and demonstrate its efficiency compared to traditional Wilson loop calculations.
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Sternbeck A. QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker). EPJ WEB OF CONFERENCES 2017. [DOI: 10.1051/epjconf/201713701020] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Oxman L, Vercauteren D. Exploring center strings in SU(2)and SU(3)relativistic Yang-Mills-Higgs models. Int J Clin Exp Med 2017. [DOI: 10.1103/physrevd.95.025001] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Bornyakov V, Ilgenfritz EM, Martemyanov B, Müller-Preussker M. Dyon structures in the deconfinement phase of lattice gluodynamics: Topological clusters, holonomies, and Abelian monopoles. Int J Clin Exp Med 2015. [DOI: 10.1103/physrevd.91.074505] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Cucchieri A, Mendes T. Ghost sector and geometry in minimal Landau gauge: Further constraining the infinite-volume limit. Int J Clin Exp Med 2013. [DOI: 10.1103/physrevd.88.114501] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Cardoso N, Cardoso M, Bicudo P. Inside the SU(3) quark-antiquark QCD flux tube: Screening versus quantum widening. Int J Clin Exp Med 2013. [DOI: 10.1103/physrevd.88.054504] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Schröck M, Vogt H. Coulomb, Landau and maximally Abelian gauge fixing in lattice QCD with multi-GPUs. COMPUTER PHYSICS COMMUNICATIONS 2013; 184:1907-1919. [DOI: 10.1016/j.cpc.2013.03.021] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/02/2023]
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Aouane R, Bornyakov V, Ilgenfritz EM, Mitrjushkin V, Müller-Preussker M, Sternbeck A. Landau gauge gluon and ghost propagators at finite temperature from quenched lattice QCD. Int J Clin Exp Med 2012. [DOI: 10.1103/physrevd.85.034501] [Citation(s) in RCA: 53] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Bornyakov VG, Braguta VV. Study of the thermal Abelian monopoles with proper gauge fixing. Int J Clin Exp Med 2012. [DOI: 10.1103/physrevd.85.014502] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Haymaker RW, Matsuki T. Model independent approach to studies of the confining dual Abrikosov vortex inSU(2)lattice gauge theory. Int J Clin Exp Med 2007. [DOI: 10.1103/physrevd.75.014501] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Ilgenfritz EM, Martemyanov BV, Müller-Preussker M, Veselov AI. Calorons and monopoles from smearedSU(2)lattice fields at nonzero temperature. Int J Clin Exp Med 2006. [DOI: 10.1103/physrevd.73.094509] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Suzuki T, Ishiguro K, Mori Y, Sekido T. Dual Meissner effect and magnetic displacement currents. PHYSICAL REVIEW LETTERS 2005; 94:132001. [PMID: 15903985 DOI: 10.1103/physrevlett.94.132001] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/01/2004] [Indexed: 05/02/2023]
Abstract
The dual Meissner effect is observed without monopoles in quenched SU(2) QCD with Landau gauge fixing. Magnetic displacement currents that are time-dependent Abelian magnetic fields act as solenoidal currents squeezing Abelian electric fields. Monopoles are not always necessary for the dual Meissner effect. A mean-field calculation suggests that the dual Meissner effect through the mass generation of the Abelian electric field is related to a gluon condensate A(a)(mu)A(a)(mu) not equal 0 of mass dimension 2.
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Affiliation(s)
- Tsuneo Suzuki
- Institute for Theoretical Physics, Kanazawa University, Kanazawa 920-1192, Japan
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Chernodub MN, Hashimoto K, Suzuki T. Matter degrees of freedom and string breaking in Abelian projected quenchedSU(2)QCD. Int J Clin Exp Med 2004. [DOI: 10.1103/physrevd.70.014506] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Chernodub MN, Ishiguro K, Suzuki T. Determination of the monopole condensate from monopole action in quenched SU(2) QCD. Int J Clin Exp Med 2004. [DOI: 10.1103/physrevd.69.094508] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Chernodub MN. Monopoles in the Abelian Polyakov gauge and projection (in)dependence of the dual superconductor mechanism of confinement. Int J Clin Exp Med 2004. [DOI: 10.1103/physrevd.69.094504] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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Koma Y, Koma M, Ilgenfritz EM, Suzuki T, Polikarpov MI. Duality of gauge field singularities and the structure of the flux tube in Abelian-projected SU(2) gauge theory and the dual Abelian Higgs model. Int J Clin Exp Med 2003. [DOI: 10.1103/physrevd.68.094018] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Ilgenfritz EM, Martemyanov BV, Veselov AI, Müller-Preussker M, Shcheredin S. Topological content ofSU(2)gauge fields belowTc. Int J Clin Exp Med 2002. [DOI: 10.1103/physrevd.66.074503] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Fukushima M, Ilgenfritz EM, Toki H. Abelian monopole and center vortex views at the multi-instanton gas. Int J Clin Exp Med 2001. [DOI: 10.1103/physrevd.64.034503] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Chernodub MN, Fujimoto S, Kato S, Murata M, Polikarpov MI, Suzuki T. Almost perfect quantum lattice action for low-energy SU(2) gluodynamics. Int J Clin Exp Med 2000. [DOI: 10.1103/physrevd.62.094506] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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Ilgenfritz EM, Thurner S, Markum H, Müller–Preussker M. Monopole characteristics in various Abelian gauges. Int J Clin Exp Med 2000. [DOI: 10.1103/physrevd.61.054501] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Poulis GI. Scaling and confinement aspects of tadpole-improved SU(2) lattice gauge theory and its Abelian projection. Int J Clin Exp Med 1997. [DOI: 10.1103/physrevd.56.161] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Bernstein K, Di Cecio G, Haymaker RW. Dual vortices and gauge choice in Abelian projected SU(2) lattice gauge theory. Int J Clin Exp Med 1997. [DOI: 10.1103/physrevd.55.6730] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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