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Loop representation and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">r</mml:mi></mml:math> -Fock measures for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> gauge theories
In this article, we continue the work on translating elements of the perturbative quantum field theory defined on Minkowski spacetime into the background independent framework of loop quantum gravity. We present the construction of r-Fock measures for $SU(N)$ gauge theories and represent the Fock vacuum of $SU(N)$ gauge fields on …