Communications in Mathematical Physics

, Volume 85, Issue 1, pp 39–48 | Cite as

Topology of lattice gauge fields

  • M. Lüscher


Non-Abelian gauge fields on a four-dimensional hypercubic lattice with small action density [Tr{U(\(\dot p\))} for SU(2) gauge fields] are shown to carry an integer topological chargeQ, which is invariant under continuous deformations of the field. A concrete expression forQ is given and it is verified thatQ reduces to the familiar Chern number in the classical continuum limit.


Gauge Field Topological Charge Transition Matrice Parallel Transporter Principal Bundle 
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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • M. Lüscher
    • 1
  1. 1.Institut für Theoretische PhysikUniversität BernBernSwitzerland

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