paper

Unexplored regions in QFT and the conceptual foundations of the Standard Model

arXiv:1006.3543

Abstract

Massive quantum matter of prescribed spin permits infinitely many possibilities of covariantization in terms of spinorial (undotted/dotted) pointlike fields, whereas massless finite helicity representations lead to large gap in this spinorial spectrum which for s=1 excludes vectorpotentials. Since the nonexistence of such pointlike generators is the result of a deep structural clash between modular localization and the Hilbert space setting of QT, there are two ways out: gauge theory which sacrifies the Hilbert space and keeps the pointlike formalism and the use of stringlike potentials which allows to preserve the Hilbert space. The latter setting contains also string-localized charge-carrying operators whereas the gauge theoretic formulation is limited to point-like generated observables. This description also gives a much better insight into the Higgs mechanism which leads to a revival of the more physical "Schwinger-Higgs" screening idea. The new formalism is not limited to m=0, s=1, it leads to renormalizable interactions in the sense of power-counting for all s in massless representations. The existence of stringlike vectorpotentials is preempted by the Aharonov-Bohm effect in QFT; it is well-known that the use of pointlike vectorpotentials in Stokes theorem would with lead to wrong results. Their use in Maxwell's equations is known to lead to zero Maxwell charge. The role of string-localization in the problem behind the observed invisibility and confinement of gluons and quarks leads to new questions and problems. PACS: 11.10.-z, 11.15-q, 11.10Gh, 12.20.-m, 12.38.-t

64 pages Latex, addition of new results improvement of presentation arXiv admin note: text overlap with arXiv:1012.0013

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