SCHWINGER-DYSON ANALYSIS OF 1+2 DIMENSIONAL QED
The QED ground state is studied for a four component Dirac fermion with the topological Chern-Simons term in 1+2 dimension. The Lagrangian for a massless Dirac fermion has the parity and the chiral symmetries. Spontaneous breaking of these symmetries can be found by evaluating the vacuum expectation values for fermion and anti-fermion pairs. We introduce approximate vertex functions and calculate the expectation values by solving the Schwinger-Dyson equation. We observe a smaller gauge dependence for the Ball-Chiu vertex function.
Keywords: 1+2 dimensional QED, Schwinger-Dyson equation, Chern-Simons term
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Issue: 12, 2014
Series of issue: Issue 12
Pages: 100 — 102
Downloads: 888