Breakdown of normal threshold dispersion relation for the vacuum polarization |
| |
Authors: | G. Kramer G. Schierholz |
| |
Affiliation: | II. Institute für Theoretische Physik, Universität Hamburg, Germany;CERN, Geneva, Switzerland |
| |
Abstract: | Stating a concrete example, it is shown that the vacuum polarization develops anomalous singularities. The analytic structure of the vacuum polarization in these circumstances is discussed in some detail. It appears that its large q2 behaviour is not linked anymore to the asymptotic form of the e+e? total cross section. Since it is the large q2 behaviour of the vacuum polarization which solely can be calculated in asymptotically free gauge theories (giving in leading order the naive quark model result), this is a warning to using the naive quark model result for the e+e? total cross section as well in fitting the data. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|