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Discretizing parametrized systems: the magic of Ditt-invariance · Around

2011

Discretizing parametrized systems: the magic of Ditt-invariance

Rovelli, Carlo

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Peculiar phenomena appear in the discretization of a system invariant under reparametrization.

The structure of the continuum limit is markedly different from the usual one, as in lattice QCD.
First, the continuum limit does not require tuning a parameter in the action to a critical value.
Rather, there is a regime where the system approaches a sort of asymptotic topological invariance ("Ditt-invariance").

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