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Scale-invariance of parity-invariant three-dimensional QED

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arxiv 1606.04109 v2 pith:RY7WDNY6 submitted 2016-06-13 hep-th cond-mat.str-elcond-mat.supr-conhep-lat

Scale-invariance of parity-invariant three-dimensional QED

Nikhil Karthik , Rajamani Narayanan This is my paper
classification hep-th cond-mat.str-elcond-mat.supr-conhep-lat
keywords anomalousdimensionbehaviormassassociatedcorrelatoreigenvaluesfermions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present numerical evidences using overlap fermions for a scale-invariant behavior of parity-invariant three-dimensional QED with two flavors of massless two-component fermions. Using finite-size scaling of the low-lying eigenvalues of the massless anti-Hermitian overlap Dirac operator, we rule out the presence of bilinear condensate and estimate the mass anomalous dimension. The eigenvectors associated with these low-lying eigenvalues suggest critical behavior in the sense of a metal-insulator transition. We show that there is no mass gap in the scalar and vector correlators in the infinite volume theory. The vector correlator does not acquire an anomalous dimension. The anomalous dimension associated with the long-distance behavior of the scalar correlator is consistent with the mass anomalous dimension.

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