@article{9a8be3c58561446fb10f8f8bf6c6204b,
title = "String confinement in two-form lattice gauge theory",
abstract = "We study the confinement between vortex strings in the lattice gauge theory of the dual Abelian Higgs model. The dual lattice gauge theory is described by a two-form gauge field coupled with a one-form gauge field. We calculate the string-antistring potential from the surface operator of the two-form gauge field. The linear confining potential appears in the string confinement phase, and it disappears in the string deconfinement phase. The phase diagram of the theory is also obtained.",
author = "Tomoya Hayata and Arata Yamamoto",
note = "Funding Information: The authors thank Tin Sulejmanpasic for pointing out the possibility of surface breaking. T. H. thanks Takumi Doi, Sinya Gongyo, and Yuta Kikuchi for helpful comments. T. H. was supported by RIKEN special postdoctoral program. A. Y. was supported by JSPS KAKENHI Grant No. 19K03841. [1] 1 B. Rosenstein and D. Li , Rev. Mod. Phys. 82 , 109 ( 2010 ). RMPHAT 0034-6861 10.1103/RevModPhys.82.109 [2] 2 M. Tsubota , K. Kasamatsu , and M. Kobayashi , Novel Superfluids ( Oxford University Press , Oxford, 2010 ), Vol. 1 , Chap. 3, p. 156 . [3] 3 M. Eto , Y. Hirono , M. Nitta , and S. Yasui , Prog. Theor. Exp. Phys. 2014 , 12D01 ( 2014 ). PTEPCR 2050-3911 10.1093/ptep/ptt095 [4] 4 M. B. Hindmarsh and T. W. B. Kibble , Rep. Prog. Phys. 58 , 477 ( 1995 ). RPPHAG 0034-4885 10.1088/0034-4885/58/5/001 [5] 5 P. Orland , Nucl. Phys. B205 , 107 ( 1982 ). NUPBBO 0550-3213 10.1016/0550-3213(82)90468-0 [6] 6 R. B. Pearson , Phys. Rev. D 26 , 2013 ( 1982 ). PRVDAQ 0556-2821 10.1103/PhysRevD.26.2013 [7] 7 J. Frohlich and T. Spencer , Commun. Math. Phys. 83 , 411 ( 1982 ). CMPHAY 0010-3616 10.1007/BF01213610 [8] 8 R. I. Nepomechie , Nucl. Phys. B212 , 301 ( 1983 ). NUPBBO 0550-3213 10.1016/0550-3213(83)90306-1 [9] 9 P. Orland , Phys. Lett. 122B , 78 ( 1983 ). PYLBAJ 0370-2693 10.1016/0370-2693(83)91172-3 [10] 10 C. Omero , P. A. Marchetti , and A. Maritan , J. Phys. A 16 , 1465 ( 1983 ). JPHAC5 0305-4470 10.1088/0305-4470/16/7/022 [11] 11 A. E. Lipstein and R. A. Reid-Edwards , J. High Energy Phys. 09 ( 2014 ) 034 . JHEPFG 1029-8479 10.1007/JHEP09(2014)034 [12] 12 D. A. Johnston , Phys. Rev. D 90 , 107701 ( 2014 ). PRVDAQ 1550-7998 10.1103/PhysRevD.90.107701 [13] 13 M. Baig and J. Clua , Phys. Rev. D 57 , 3902 ( 1998 ). PRVDAQ 0556-2821 10.1103/PhysRevD.57.3902 [14] 14 K. Kajantie , M. Laine , T. Neuhaus , A. Rajantie , and K. Rummukainen , Phys. Lett. B 482 , 114 ( 2000 ). PYLBAJ 0370-2693 10.1016/S0370-2693(00)00481-0 [15] 15 S. Wenzel , E. Bittner , W. Janke , and A. M. J. Schakel , Nucl. Phys. B793 , 344 ( 2008 ). NUPBBO 0550-3213 10.1016/j.nuclphysb.2007.10.024 [16] 16 R. MacKenzie , F. Nebia-Rahal , and M. B. Paranjape , Phys. Rev. D 81 , 114505 ( 2010 ). PRVDAQ 1550-7998 10.1103/PhysRevD.81.114505 [17] 17 T. Hayata and A. Yamamoto , Phys. Rev. A 92 , 043628 ( 2015 ). PLRAAN 1050-2947 10.1103/PhysRevA.92.043628 [18] 18 A. Yamamoto , Prog. Theor. Exp. Phys. 2018 , 103B03 ( 2018 ). PTEPCR 2050-3911 10.1093/ptep/pty106 [19] 19 F. Quevedo and C. A. Trugenberger , Nucl. Phys. B501 , 143 ( 1997 ). NUPBBO 0550-3213 10.1016/S0550-3213(97)00337-4 [20] 20 M. Creutz , Phys. Rev. D 36 , 515 ( 1987 ). PRVDAQ 0556-2821 10.1103/PhysRevD.36.515 [21] 21 M. Albanese , Phys. Lett. B 192 , 163 ( 1987 ). PYLBAJ 0370-2693 10.1016/0370-2693(87)91160-9 [22] 22 G. S. Bali , H. Neff , T. Duessel , T. Lippert , and K. Schilling , Phys. Rev. D 71 , 114513 ( 2005 ). PRVDAQ 1550-7998 10.1103/PhysRevD.71.114513 [23] 23 K. Hukushima and K. Nemoto , J. Phys. Soc. Jpn. 65 , 1604 ( 1996 ). JUPSAU 0031-9015 10.1143/JPSJ.65.1604 [24] 24 E. H. Fradkin and S. H. Shenker , Phys. Rev. D 19 , 3682 ( 1979 ). PRVDAQ 0556-2821 10.1103/PhysRevD.19.3682 Publisher Copyright: {\textcopyright} 2019 authors. Published by the American Physical Society.",
year = "2019",
month = oct,
day = "15",
doi = "10.1103/PhysRevD.100.074504",
language = "English",
volume = "100",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "7",
}