Pair creation and axial anomaly in light-cone $QED_2$

Details Pair creation and axial anomaly in light-cone $QED_2$ Pair creation and axial anomaly in light-cone $QED_2$

2001-08-13

arxiv.org/abs/hep-th/0108090v2

JHEP 0111 (2001) 008

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 2 figures, LaTeX 2 epsilon, revised for publication

Scientific paper

10.1088/1126-6708/2001/11/008

The 1+1 dimensional massive Dirac equation is solved exactly in light-cone coordinates for $x^+ > 0$ and $x^- > -L$, in the presence of an arbitrary $x^+$ dependent electric field. Our solution resolves the ambiguity at $p^+ = 0$. We also obtain the one loop rate for pair production for a positive electric field, compute the expectation values of the vector and axial vector currents, and recover the well known anomaly $e^2 E/\pi$ in the divergence of the latter. A final intriguing result is that the theory seems to exhibit a phase transition in the limit of infinite $L$.

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