376 research outputs found
Canonical Interacting Quantum Fields on Two-Dimensional De Sitter Space
We present the model on de Sitter space in the
canonical formulation. We discuss the role of the Noether theorem and we
provide explicit expressions for the energy-stress tensor of the interacting
model.Comment: minor correction
An Algebraic Jost-Schroer Theorem for Massive Theories
We consider a purely massive local relativistic quantum theory specified by a
family of von Neumann algebras indexed by the space-time regions. We assume
that, affiliated with the algebras associated to wedge regions, there are
operators which create only single particle states from the vacuum (so-called
polarization-free generators) and are well-behaved under the space-time
translations. Strengthening a result of Borchers, Buchholz and Schroer, we show
that then the theory is unitarily equivalent to that of a free field for the
corresponding particle type. We admit particles with any spin and localization
of the charge in space-like cones, thereby covering the case of
string-localized covariant quantum fields.Comment: 21 pages. The second (and crucial) hypothesis of the theorem has been
relaxed and clarified, thanks to the stimulus of an anonymous referee. (The
polarization-free generators associated with wedge regions, which always
exist, are assumed to be temperate.
Braid group statistics implies scattering in three-dimensional local quantum physics
It is shown that particles with braid group statistics (Plektons) in
three-dimensional space-time cannot be free, in a quite elementary sense: They
must exhibit elastic two-particle scattering into every solid angle, and at
every energy. This also implies that for such particles there cannot be any
operators localized in wedge regions which create only single particle states
from the vacuum and which are well-behaved under the space-time translations
(so-called temperate polarization-free generators). These results considerably
strengthen an earlier "NoGo-theorem for 'free' relativistic Anyons".
As a by-product we extend a fact which is well-known in quantum field theory
to the case of topological charges (i.e., charges localized in space-like
cones) in d>3, namely: If there is no elastic two-particle scattering into some
arbitrarily small open solid angle element, then the 2-particle S-matrix is
trivial.Comment: 25 pages, 4 figures. Comment on model-building added in the
introductio
The Spin-Statistics Theorem for Anyons and Plektons in d=2+1
We prove the spin-statistics theorem for massive particles obeying braid
group statistics in three-dimensional Minkowski space. We start from first
principles of local relativistic quantum theory. The only assumption is a gap
in the mass spectrum of the corresponding charged sector, and a restriction on
the degeneracy of the corresponding mass.Comment: 21 pages, 2 figures. Citation added; Minor modifications of Appendix
Changes in size and interpretation of parameter estimates in within-person models in the presence of time-invariant and time-varying covariates
For several decades, cross-lagged panel models (CLPM) have been the dominant statistical model in relationship research for investigating reciprocal associations between two (or more) constructs over time. However, recent methodological research has questioned the frequent usage of the CLPM because, amongst other things, the model commingles within-person associations with between-person associations, while most developmental research questions pertain to within-person processes. Furthermore, the model presumes that there are no third variables that confound the relationships between the longitudinally assessed variables. Therefore, the usage of alternative models such as the Random-Intercept Cross-Lagged Panel Model (RI-CLPM) or the Latent Curve Model with Structured Residuals (LCM-SR) has been suggested. These models separate between-person from within-person variation and they also control for time constant covariates. However, there might also be third variables that are not stable but rather change across time and that can confound the relationships between the variables studied in these models. In the present article, we explain the differences between the two types of confounders and investigate how they affect the parameter estimates of within-person models such as the RI-CLPM and the LCM-SR
Determination of the Weak Axial Vector Coupling from a Measurement of the Beta-Asymmetry Parameter A in Neutron Beta Decay
We report on a new measurement of the neutron beta-asymmetry parameter
with the instrument \perkeo. Main advancements are the high neutron
polarization of from a novel arrangement of super mirror
polarizers and reduced background from improvements in beam line and shielding.
Leading corrections were thus reduced by a factor of 4, pushing them below the
level of statistical error and resulting in a significant reduction of
systematic uncertainty compared to our previous experiments. From the result
, we derive the ratio of the axial-vector to the vector
coupling constant Comment: 5 pages, 4 figure
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