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Lattice gauge fields, principal bundles and the calculation of topological charge. (English) Zbl 0597.53065

The authors study SU(2) Yang-Mills gauge fields of a 4-dimensional simplicial lattice. They present an algorithm which computes the second Chern number (the topological charge) of the corresponding principal bundles directly from the lattice data. This algorithm only involves evaluation of \(4\times 4\) determinants and the solution of quadratic equations.
Reviewer: M.Monastyrskij

MSC:

53C80 Applications of global differential geometry to the sciences
81T08 Constructive quantum field theory
53C05 Connections (general theory)
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