Loop quantization as a continuum limit

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, no figures

Scientific paper

10.1088/0264-9381/23/10/010

We present an implementation of Wilson's renormalization group and a continuum limit tailored for loop quantization. The dynamics of loop quantized theories is constructed as a continuum limit of dynamics of effective theories. After presenting the general formalism we show as first explicit example the 2d Ising field theory. It is an interacting relativistic quantum field theory with local degrees of freedom quantized by loop quantization techniques.

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