Ullrich, P. and Werner, Ernst (2006) On the problem of mass dependence of the two-point function of the real scalar free massive field on the light cone. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 39 (20). pp. 6057-6068. ISSN 0305-4470,
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We investigate the generally assumed inconsistency in light cone quantum field theory that the restriction of a massive, real scalar free field to the nullplane Sigma = {x(0) + x(3) = 0} is independent of mass (Leutwyler, Klauder and Streit 1970 Nuovo Cimento A 66 536), but the restriction of the two-point function is mass dependent (see, e.g., Nakanishi and Yamawaki 1977 Nucl. Phys. B 122 15; Yamawaki K 1997 Proc. Int. Workshop New Nonperturbative Methods and Quantization on the Light Cone (Les Houches, France) Preprint hepth/9707141). We resolve this inconsistency by showing that the two-point function has no canonical restriction to E in the sense of distribution theory. Only the so-called tame restriction of the two-point function, which we have introduced in (Ullrich P 2004 Uniqueness in the characteristic Cauchy problem of the Klein-Gordon equation and tame restrictions of generalized functions Preprint math-ph/0408022 (submitted)) exists. Furthermore, we show that this tame restriction is indeed independent of the mass. Hence the inconsistency is induced by the erroneous assumption that the two-point function has a (canonical) restriction to E.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM; QUANTIZATION; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Feb 2021 07:49 |
| Last Modified: | 15 Feb 2021 07:49 |
| URI: | https://pred.uni-regensburg.de/id/eprint/34535 |
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