Scale-invariance of parity-invariant three-dimensional QED - INSPIRE

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Scale-invariance of parity-invariant three-dimensional QED

Jun 13, 2016

16 pages

Published in:

Phys.Rev.D 94 (2016) 6, 065026

Published: Sep 21, 2016

e-Print:

1606.04109 [hep-th]

DOI:

10.1103/PhysRevD.94.065026

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Abstract: (APS)

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 a 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.

Note:

V2: 30 pages, 15 figures; additional references included

mass: anomalous dimension
correlation function: vector
dimension: 3
correlation function: scalar
fermion: overlap
mass: gap
scaling: finite size
operator: Dirac
flavor: 2
quantum electrodynamics

References(53)

Figures(0)

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