8 research outputs found
Two-dimensional Chiral Anomaly in Differential Regularization
The two-dimensional chiral anomaly is calculated using differential
regularization. It is shown that the anomaly emerges naturally in the vector
and axial Ward identities on the same footing as the four-dimensional case. The
vector gauge symmetry can be achieved by an appropriate choice of the mass
scales without introducing the seagull term. We have analyzed the reason why
such a universal result can be obtained in differential regularization.Comment: 9 pages, RevTex, no figures, a mistake in the massive case pointed
out by the referee is correcte
Understanding Radiatively Induced Lorentz-CPT Violation in Differential Regularization
We have investigated the perturbative ambiguity of the radiatively induced
Chern-Simons term in differential regularization. The result obtained in this
method contains all those obtained in other regularization schemes and the
ambiguity is explicitly characterized by an indefinite ratio of two
renormalization scales. It is argued that the ambiguity can only be eliminated
by either imposing a physical requirement or resorting to a more fundamental
principle. Some calculation techniques in coordinate space are developed in the
appendices.Comment: RevTex, 14 pages, one figure drawn by FEYNMAN, several references are
modified and a paragraph about a general choice on the mass scales is added
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