Renormalization in String-Localized Field Theories: A Microlocal Analysis

Gaß, Christian

doi:10.1007/s00023-022-01171-3

Cited by 7 publications

(1 citation statement)

References 30 publications

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“…Quantum general covariance, manifested by the 'lock-key scenario' discussed above, seems to be a characteristic feature of the Hilbert space approach. 7 That power counting remains a meaningful notion in SQFT was shown in [16].…”

Section: Final Introductory Commentsmentioning

confidence: 97%

Quantum general covariance

Jose¹,

Gass²,

Rehren³

2023

Class. Quantum Grav.

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The structure of quantum interactions with fields of helicity two (“gravitons”) is strongly constrained by three principles: positivity (Hilbert space), covariance, and locality of observables. To fulfil them simultaneously, one needs to work with string-localized fields. The results then follow from the condition that entities closely related to observables, like the S-matrix, be local and string-independent. They in particular reproduce the interactions dictated by general covariance in classical field theory. Graviton-matter couplings are consistent only when the graviton self-interaction is taken into account as well.

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Section: Final Introductory Commentsmentioning

confidence: 97%

Quantum general covariance

Jose¹,

Gass²,

Rehren³

2023

Class. Quantum Grav.

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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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sQFT: An Autonomous Explanation of the Interactions of Quantum Particles

Rehren,

Cardoso,

Gass

et al. 2024

Found Phys

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Successful applications of a conceptually novel setup of Quantum Field Theory, that accounts for all subtheories of the Standard Model (QED, Electroweak Interaction and Higgs, Yang–Mills and QCD) and beyond (Helicity 2), call for a perspective view in a broader conceptual context. The setting is “autonomous” in the sense of being intrinsically quantum. Its principles are: Hilbert space, Poincaré symmetry and causality. Its free quantum fields are obtained from Wigner’s unitary representations of the Poincaré group, with only physical and observable degrees of freedom. A “quantization” of an “underlying” classical theory is not needed. It allows renormalizable perturbation theory with interactions whose detailed structure, and in some cases even the particle content, is predicted by internal consistency. The results confirm and extend observable predictions for the interactions of the Standard Model without assuming a “principle” of gauge invariance.

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Renormalization in String-Localized Field Theories: A Microlocal Analysis

Cited by 7 publications

References 30 publications

Quantum general covariance

Quantum general covariance

Infraparticle quantum fields and the formation of photon clouds

sQFT: An Autonomous Explanation of the Interactions of Quantum Particles

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