Abstract
After mentioning some of the difficulties arising in lattice gauge theory from chiral symmetry, I discuss one of the recent attempts to resolve these issues using fermionic surface states in an extra space-time dimension. This picture can be understood in terms of end states on a simple ladder molecule.
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References
M. Creutz: Rev. Mod. Phys. 73, 119 (2001).
H. Neuberger: hep-lat/0101006 (2001).
Lord Kelvin: Baltimore lectures on molecular dynamics and, the wave theory of light (Clay, London, 1904).
S.L. Adler: Phys. Rev. 117, 2426 (1969); J.S. Bell and R. Jackiw, Nuovo Cimento 60A, 47 (1969).
J. Ambjorn, J. Greensite, and C. Peterson: Nucl. Phys. B221 (1983) 381; B. Holstein, Am. J. Phys. 61, 142 (1993).
G. t’Hooft: Phys. Rev. Lett. 37, 8 (1976); Phys. Rev. D14, 3432 (1976).
E. Eichten and J. Preskill: Nucl. Phys. B268, 179 (1986).
T. Banks: Phys. Lett. B272, 75 (1991).
K. Wilson. In: New Phenomena in Subnuclear Physics, ed. by A. Zichichi (Plenum Press, N.Y., 1977).
A. Borrelli, L. Maiani, G. Rossi, R. Sisto and M. Testa: Nucl. Phys. B333, 335 (1990); J. Alonso, Ph. Boucaud, J. Cortés, and E. Rivas: Phys. Rev. D44, 3258 (1991); W. Bock, M.F. Golterman and Y. Shamir: Phys. Rev. Lett. 80, 3444 (1998); W. Bock, M.F. Golterman and Y. Shamir: Phys. Rev. D 58, 034501 (1998).
T. Kaluza: Sitzungsber. Preuss. Akad. Wiss. Leipzig (1921), 966; O. Klein: Z. Phys. 37, 895 (1926).
C. Callan and J. Harvey: Nucl. Phys. B250, 427 (1985).
R. Jackiw and C. Rebbi: Phys. Rev. D13, 3398 (1976).
D. Kaplan: Phys. Lett. B288 (1992) 342; M. Golterman, K. Jansen, D. Kaplan: Phys. Lett. B301, 219 (1993); V. Furman and Y. Shamir: Nucl. Phys. B439, 54 (1995).
Y. Shamir: Nucl. Phys. B406, 90 (1993).
M. Creutz and I. Horvath: Phys. Rev. D50, 2297 (1994); Nucl. Phys. B34 (Proc. Suppl.), 586 (1994).
W. Shockley: Phys. Rev. 56, 317 (1939).
R. Narayanan and H. Neuberger: Phys. Lett. B302, 62 (1993); Phys. Rev. Lett. 71 (1993) 3251; Nucl. Phys. B412, 574 (1994); Nucl. Phys. B443, 305 (1995); S. Randjbar-Daemi, J. Strathdee: Nucl. Phys. B461, 305 (1996); Nucl. Phys. B466, 335 (1996); M. Luscher, JHEP 0006, 028 (2000).
M. Creutz: Phys. Rev. Lett. 83, 2636 (1999).
J. Kogut and L. Susskind: Phys. Rev. D11, 395 (1975).
M. Creutz, C. Rebbi, M. Tytgat, S.-S. Xue, Phys. Lett. B402, 341 (1997); M. Creutz: Nuclear Physics B (Proc.Suppl.) 63A-C, 599 (1998).
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Creutz, M. (2002). Chiral Symmetry Versus the Lattice. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XIV. Springer Proceedings in Physics, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59406-9_22
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DOI: https://doi.org/10.1007/978-3-642-59406-9_22
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