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A causal set action

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Causal set theory is discrete, fully covariant theory of quantum
gravity. The discrete framework makes it necessary to reformulate
continuum concepts. One of these concepts is that of a derivative operator. It is
possible to define a derivative operator in causal sets that in
the continuum limit agrees with the d'Alembertian for a scalar
field. This operator can be used to define a causal set action, which
enables Monte-Carlo simulations. In this seminar I will present this operator and action and then
show some results of Monte-Carlo simulations in 2 dimensions.