122207192
Homotopy Groups and (2+1)-dimensional Quantum Gravity
The integrated CCR (canonical commutation relations) for 2+1 dimensional gravity in the vielbein first order formalism are used to derive generalised representations Ψ: π1 (Σ) → ISO(2, 1) of the fundamental group of the initial data surface Σ2. The matrix elements of Ψ(U), Ψ(V), where U≠V are in general non-commuting according to a set of well-defined formal rules.
124467838
Lorentz Invariance in tangent space
117052872
Normal coordinates in canonical form
5325226
A QUANTUM GOLDMAN BRACKET FOR LOOPS ON SURFACES
In the context of (2+1)–dimensional gravity, we use holonomies of constant connections which generate a q–deformed representation of the fundamental group to derive signed area phases which relate the quantum matrices assigned to homotopic loops. We use these features to determine a quantum Goldman bracket (commutator) for intersecting loops on surfaces, and discuss the resulting quantum geometry.
122698975
GROUP MANIFOLD DERIVATION OF CANONICAL THEORIES
The covariant canonical formalism previously developed supplemented by gauge fixing conditions leads naturally to corresponding component theories. We illustrate the method by deriving the “new variables” theory of Ashtekar, and the standard canonical tetrad theory. The method does not use the spinor formalism.
126036591
Lorentz invariance and the group manifold approach
199679707
Measurement of muon plus proton final states in $\nu_{\mu}$ Interactions on Hydrocarbon at $ $ = 4.2 GeV
119509119
The MINOS Magnets
The MINOS long baseline neutrino oscillation experiment will consists of two magnetized tracking calorimeters one on the Fermilab site and one in Minnesota. This paper summarizes the design, magnetic performance, and status of the MINOS magnets.