Abstract
In quantum field theory the existence of pointlike localizable objects called `fields` is a preassumption. Since charged fields are in general not observable this situation is unsatisfying from a quantum physics point of view. Indeed in any quantum theory the existence of fields should follow from deeper physical concepts and more natural first principles like stability, locality, causality and symmetry. In the framework of algebraic quantum field theory with Haag-Kastler nets of local observables this is presented for the case of conformal symmetry in 1+1 dimensions. Conformal fields are explicitly constructed as limits of observables localized in finite regions of space-time. These fields then allow to derive a geometric identification of modular operators, Haag duality in the vacuum sector, the PCT-theorem and an equivalence theorem for fields and algebras. (orig.).
Joerss, M
[1]
- Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik
Citation Formats
Joerss, M.
On the existence of pointlike localized fields in conformally invariant quantum physics.
Germany: N. p.,
1992.
Web.
Joerss, M.
On the existence of pointlike localized fields in conformally invariant quantum physics.
Germany.
Joerss, M.
1992.
"On the existence of pointlike localized fields in conformally invariant quantum physics."
Germany.
@misc{etde_10143039,
title = {On the existence of pointlike localized fields in conformally invariant quantum physics}
author = {Joerss, M}
abstractNote = {In quantum field theory the existence of pointlike localizable objects called `fields` is a preassumption. Since charged fields are in general not observable this situation is unsatisfying from a quantum physics point of view. Indeed in any quantum theory the existence of fields should follow from deeper physical concepts and more natural first principles like stability, locality, causality and symmetry. In the framework of algebraic quantum field theory with Haag-Kastler nets of local observables this is presented for the case of conformal symmetry in 1+1 dimensions. Conformal fields are explicitly constructed as limits of observables localized in finite regions of space-time. These fields then allow to derive a geometric identification of modular operators, Haag duality in the vacuum sector, the PCT-theorem and an equivalence theorem for fields and algebras. (orig.).}
place = {Germany}
year = {1992}
month = {Nov}
}
title = {On the existence of pointlike localized fields in conformally invariant quantum physics}
author = {Joerss, M}
abstractNote = {In quantum field theory the existence of pointlike localizable objects called `fields` is a preassumption. Since charged fields are in general not observable this situation is unsatisfying from a quantum physics point of view. Indeed in any quantum theory the existence of fields should follow from deeper physical concepts and more natural first principles like stability, locality, causality and symmetry. In the framework of algebraic quantum field theory with Haag-Kastler nets of local observables this is presented for the case of conformal symmetry in 1+1 dimensions. Conformal fields are explicitly constructed as limits of observables localized in finite regions of space-time. These fields then allow to derive a geometric identification of modular operators, Haag duality in the vacuum sector, the PCT-theorem and an equivalence theorem for fields and algebras. (orig.).}
place = {Germany}
year = {1992}
month = {Nov}
}