149,528 research outputs found
The Ho-Zhao problem
Given a poset , the set, , of all Scott closed sets ordered by
inclusion forms a complete lattice. A subcategory of
(the category of posets and Scott-continuous maps) is said to
be -faithful if for any posets and in , implies . It is known that the category of all
continuous dcpos and the category of bounded complete dcpos are
-faithful, while is not. Ho & Zhao (2009) asked
whether the category of dcpos is -faithful. In this
paper, we answer this question in the negative by exhibiting a counterexample.
To achieve this, we introduce a new subcategory of dcpos which is
-faithful. This subcategory subsumes all currently known
-faithful subcategories. With this new concept in mind, we construct
the desired counterexample which relies heavily on Johnstone's famous dcpo
which is not sober in its Scott topology.Comment: 19 pages, 4 figure
Electron g-2 in Light-Front Quantization
Basis Light-front Quantization has been proposed as a nonperturbative
framework for solving quantum field theory. We apply this approach to Quantum
Electrodynamics and explicitly solve for the light-front wave function of a
physical electron. Based on the resulting light-front wave function, we
evaluate the electron anomalous magnetic moment. Nonperturbative mass
renormalization is performed. Upon extrapolation to the infinite basis limit
our numerical results agree with the Schwinger result obtained in perturbation
theory to an accuracy of 0.06%.Comment: 6 pages, 4 figure
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