Necessary and sufficient conditions for integral representations of Wightman functionals at Schwinger points |
| |
Authors: | H J Borchers J Yngvason |
| |
Institution: | (1) Institut für Theoretische Physik, Universität Göttingen, D-3400 Göttingen, Federal Republic of Germany |
| |
Abstract: | Given a set of Wightman functions one would like to associate to it a field on Euclidean space admitting a simultaneous diagonalization. We investigate when this can be done in such a way that the Schwinger functions are the expectation values of this commutative field with a bounded metric operator commuting with the field. This requires as a tool the characterization of those linear functionals on the symmetric tensor algebra over a space of test functions which can be represented by complex measures on the corresponding space of distributions. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |