Abstract
Modular localization and the theory of string-localized fields have revolutionized several key aspects of quantum field theory. They reinforce the contention that local symmetry emerges directly from quantum theory, but global gauge invariance remains in general an unwarranted assumption to be examined case by case. Armed with those modern tools, we reconsider here the classical Okubo–Marshak argument on the non-existence of a “strong CP problem” in quantum chromodynamics.
Highlights
String-Localized FieldsCitation: Gaß, C.; Gracia-Bondía, J.M.; Mund, J
We bring to bear the theory of string-localized quantum fields (SLFs)
It is worth pointing out that the above reasoning for the form of S1 becomes simpler in our SLF context than in the quantum gauge invariance approach; see Section 3.1 of [30], the inference there being in terms of the customary fields and their ungainly retinue of unphysical fields
Summary
CP problem” in quantum chromodynamics, which was based on the covariant approach to Yang–Mills theory by Kugo and Ojima [2], is reassessed from a different theoretical standpoint For this purpose, we bring to bear the theory of string-localized quantum fields (SLFs). The gist of [9] was to show that within the SLF dispensation, Wigner particles of mass zero and unbounded helicity possess associated quantum fields; those had long before been excluded from the standard framework by Yngvason himself [18]. The term “string” (not to be confused with the strings of string theory) in the present context precisely denotes a ray starting at a point x in Minkowski space M4 that extends to infinity in a spacelike or lightlike direction This is the natural limit of the spacelike cones in the intrinsic localization procedure of [17]. A proof is found in Appendix C of [29]
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