The role of positivity and causality in interactions involving higher spin

Schroer, Bert

doi:10.1016/j.nuclphysb.2019.02.007

Cited by 10 publications

(12 citation statements)

References 99 publications

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“…SLF can be successfully applied to large classes of models beyond QED [20], including SM weak interactions [11]. We consider it as a promising alternative to the gauge theory plus BRST setting, that does not explicitly use indefinite metric at intermediate steps.…”

Section: Discussionmentioning

confidence: 99%

“…(This conflict with the terminology of the Higgs mechanism does not enjoy the attention that it deserves.) The absence of SSB does not mean that there is no Higgs particle in SLF -only it is not the driving agent, but its presence is a necessity for the self-consistency of the theory [20]. It is presently not clear whether the notion of local symmetries in terms of locally conserved observable currents, as known from Lagrangian quantization with spin s < 1, extends to non-Abelian currents in SLF.…”

Section: Discussionmentioning

confidence: 99%

“…Because it entails the possibility of "measurement of charges at a distance", it is well-known to be in conflict with locality of charged fields [1,9]. We show how a new approach to QED advocated in [15,19,20,13] that avoids indefinite metric and ghosts, can achieve Gauss' Law. We explain why this is not at variance with recent results in [5].Dedicated to Detlev Buchholz on the occasion of his 75th birthday…”

mentioning

confidence: 99%

“…In an emergent approach [15,19,20,13], a perturbative construction of QED is proposed that avoids indefinite metric from the outset. It exploits the fact that the cohomological problem…”

mentioning

confidence: 99%

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Gauss’ Law and string-localized quantum field theory

Mund¹,

Rehren²,

Schroer³

2020

J. High Energ. Phys.

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The quantum Gauss Law as an interacting field equation is a prominent feature of QED with eminent impact on its algebraic and superselection structure and the properties of its charged particles. Because it entails the possibility of "measurement of charges at a distance", it is well-known to be in conflict with locality of charged fields [1,9]. We show how a new approach to QED advocated in [15,19,20,13] that avoids indefinite metric and ghosts, can achieve Gauss' Law. We explain why this is not at variance with recent results in [5].Dedicated to Detlev Buchholz on the occasion of his 75th birthday

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

“…In an emergent approach [15,19,20,13], a perturbative construction of QED is proposed that avoids indefinite metric from the outset. It exploits the fact that the cohomological problem…”

mentioning

confidence: 99%

See 2 more Smart Citations

Gauss’ Law and string-localized quantum field theory

Mund¹,

Rehren²,

Schroer³

2020

J. High Energ. Phys.

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“…A good candidate SEM for unbounded helicity particles now also exists in SL field theory [24]. The Velo-Zwanziger instability [25] is exorcised [26]. The prohibition for covariant spinorial field types (A, B) to represent massless Wigner particles of helicity r, unless r = B − A, argued in Section 5.9 of [19], has been made void.…”

Section: Introduction: String-localized Fieldsmentioning

confidence: 99%

Revisiting the Okubo–Marshak Argument

2021

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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.

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Infraparticle quantum fields and the formation of photon clouds

Mund

Rehren

Schroer

2022

J. High Energ. Phys.

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A non-perturbative and exactly solvable quantum field theoretical model for a “dressed Dirac field” is presented, that exhibits all the kinematical features of QED: an appropriate delocalization of the charged field as a prerequisite for the global Gauss Law, superselected photon clouds (asymptotic expectation values of the Maxwell field), infraparticle nature of charged particles that cannot be separated from their photon clouds, broken Lorentz symmetry. The model serves as an intermediate leg on a new roadmap towards full QED, formulated as an off-shell theory, i.e., including a perturbative construction of its interacting charged fields. It also fills a gap in recent discussions of the “Infrared Triangle”, and points the way towards a new scattering theory for theories with massless particles of helicity ≥ 1, in which infraparticles can be described at the level of charged fields, rather than just states.

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The role of positivity and causality in interactions involving higher spin

Cited by 10 publications

References 99 publications

Gauss’ Law and string-localized quantum field theory

Gauss’ Law and string-localized quantum field theory

Revisiting the Okubo–Marshak Argument

Infraparticle quantum fields and the formation of photon clouds

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