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Gradient flows in three dimensions
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DOI：10.1007/JHEP09(2015)061.png)
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Abstract
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The a-function is a proposed quantity defined for quantum field theories which has a monotonic behaviour along renormalisation group flows, being related to the beta-functions via a gradient flow equation involving a positive definite metric. We demonstrate the existence of a candidate a-function for renormalisable Chern-Simons theories in three dimensions, involving scalar and fermion fields, in both non-supersymmetric and super-symmetric cases.
Keywords:
Field Theories in Lower Dimensions
Renormalization Group
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