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Connections on discrete fibre bundles

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Abstract

A new approach to gauge fields on a discrete space-time is proposed, in which the fundamental object is a discrete version of a principal fibre bundle. If the bundle is twisted, the gauge fields are topologically non-trivial automatically.

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References

  1. Lüscher, M.: Topology of lattice gauge fields. Commun. Math. Phys.85, 39 (1982)

    Google Scholar 

  2. Woit, P.: Topological charge in lattice gauge theory. Phys. Rev. Lett.51, 638 (1983)

    Google Scholar 

  3. Phillips, A., Stone, D.: Lattice gauge fields, principal bundles and the calculation of topological charge. Commun. Math. Phys.103, 599 (1986)

    Google Scholar 

  4. Teper, M.: Topological susceptibility inSU(2) lattice gauge theory: an exploratory study. Phys. Lett.171B, 86 (1986)

    Google Scholar 

  5. Eguchi, T., Gilkey, P.B., Hanson, A.J.: Gravitation, gauge theories and differential geometry. Phys. Rep.66, 213 (1980)

    Google Scholar 

  6. Steenrod, N.: The topology of fiber bundles. Princeton, NJ: Princeton Univ. Press 1951

    Google Scholar 

  7. Coxeter, H.S.M.: Regular polytopes. London: Methuen 1948

    Google Scholar 

  8. Wilson, K.G.: Confinement of quarks. Phys. Rev. D10, 2445 (1974)

    Google Scholar 

  9. Gosset, T.: On the regular and semi-regular figures in space ofn-dimensions. Mess. Math.29, 43 (1900)

    Google Scholar 

  10. Hurwitz, A.: Über die Zahlentheorie der Quaternionen. Math. Werke2, 303 (1933)

    Google Scholar 

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Communicated by L. Alvarez-Gaumé

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Manton, N.S. Connections on discrete fibre bundles. Commun.Math. Phys. 113, 341–351 (1987). https://doi.org/10.1007/BF01223516

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  • DOI: https://doi.org/10.1007/BF01223516

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