Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-07-29
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages
Scientific paper
In this paper I will define a Lagrangian for scalar and gauge fields on causal sets, based on the selection of an Alexandrov set in which the variation of appropriate expressions in terms of either scalar field or the gauge field holonomies around suitable loops take on the least value. For these fields, I will find that the values of the variations of these expressions define Lagrangian in the covariant form.
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