DISPERSIVE DERIVATION OF THE TRACE ANOMALY

Citation
J. Horejsi et M. Schnabl, DISPERSIVE DERIVATION OF THE TRACE ANOMALY, Zeitschrift fur Physik. C, Particles and fields, 76(3), 1997, pp. 561-565
Citations number
18
ISSN journal
01709739
Volume
76
Issue
3
Year of publication
1997
Pages
561 - 565
Database
ISI
SICI code
0170-9739(1997)76:3<561:DDOTTA>2.0.ZU;2-2
Abstract
We present a simple derivation of the one-loop trace anomaly in spinor QED through dispersion relations, avoiding completely any ultraviolet regularization. The anomaly can be expressed as a convergent sum rule for the imaginary part of a relevant formfactor. In the massless limi t, the imaginary part produces a delta-function singularity at zero ex ternal momentum squared. Such a treatment reveals an ''infrared face'' of the trace anomaly, in striking similarity with the well-known case of the axial anomaly.