Quantum Field Theory: Where We Are

Fredenhagen, Klaus; Rehren, Karl-Henning; Seiler, Erhard

doi:10.1007/978-3-540-71117-9_4

Cited by 29 publications

(34 citation statements)

References 33 publications

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“…But since no critical conclusions are drawn; such articles do not create frictions with their string theory colleagues. They are tolerated, even when they contribute jointly to the same book [78]), as the kind of critical remarks which show that string theory is a living science. As long as they do not lead to a serious conceptual encounter whose outcome could threaten the continued existence of a more than 40 years lasting derailment in particle physics, the present stalemate will continue.…”

Section: Resumé Some Personal Observations and A Somewhat Downbeat Omentioning

confidence: 95%

A Critical Look at 50 Years Particle Theory from the Perspective of the Crossing Property

Schroer

2010

Found Phys

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The crossing property is perhaps the most subtle aspect of the particlefield relation. Although it is not difficult to state its content in terms of certain analytic properties relating different matrixelements of the S-matrix or formfactors, its relation to the localization-and positive energy spectral principles requires a level of insight into the inner workings of QFT which goes beyond anything which can be found in typical textbooks on QFT. This paper presents a recent account based on new ideas derived from "modular localization" including a mathematic appendix on this subject. Its main achievement is the proof of the crossing property from a two-algebra generalization of the KMS condition.The main content is an in-depth criticism of the dual model and its string theoretic extension. The conceptual flaws of these models are closely related to misunderstandings of crossing. The correct interpretation of string theory is that of a dynamic infinite component one particle space where "dynamic" means that, unlike a mere collection of independent free fields, the formalism contains also operators which communicate between the different irreducible Poincaré representations and set the mass/spin spectrum. Whereas in pre-string times there were unsuccessful attempts to achieve this in analogy to the O(4, 2) hydrogen spectrum by the use of higher noncompact groups, the superstring in d = 9 + 1, which uses instead (bosonic/fermionic) oscillators obtained from multicomponent chiral currents, is the only known solution of the dynamical infinite component pointlike field (or pointlike generated wave function) project. Dedicated to Ivan Todorov on the occasion of his 75th birthday. B. Schroer ( ) CBPF, Rua Dr. Xavier Sigaud 150,

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Section: Resumé Some Personal Observations and A Somewhat Downbeat Omentioning

confidence: 95%

A Critical Look at 50 Years Particle Theory from the Perspective of the Crossing Property

Schroer

2010

Found Phys

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“…The basic idea 28 is to promote a global invariance to a local invariance by introducing connections ("gauge fields"). Y. Ne'eman, Addison-Wesley, New York, 1981. For a modern understanding of QFT-aside from the by now already classic [524]see the reviews [132,188,548]. The non-Abelian counterpart, today known as Yang-Mills theories, and invented more than fifty years ago had a varied fate in particle physics, and we will see some of the reasons in the next chapter.…”

Section: Concluding Remarks and Bibliographical Notesmentioning

confidence: 99%

Symmetries in Fundamental Physics

Sundermeyer

2014

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“…In perturbation schemes the double-hump potential far the Higgs field is an adequate phenomenological description. The exact way in which the Higgs field introduces masses for the particles is probably much more involved [5].…”

Section: The Inflationary Cosmologymentioning

confidence: 99%