Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-01-15
Mod.Phys.Lett. A11 (1996) 2065-2082
Physics
High Energy Physics
High Energy Physics - Theory
12 pages,Latex
Scientific paper
We reconsider quantum mechanical systems based on the classical action being the period of a one form over a cycle and elucidate three main points. First we show that the prepotenial V is no longer completely arbitrary but obeys a consistency integral equation. That is the one form dV defines the same period as the classical action. We then apply this to the case of the punctured plane for which the prepotential is of the form $V= \alpha \theta + \Phi ( \theta )$. The function $ \Phi $ is any but a periodic function of the polar angle. For the topological information to be preserved, we further require that $ \Phi $ be even. Second we point out the existence of a hidden scale which comes from the regularization of the infrared behaviour of the solutions. This will then be used to eliminate certain invariants preselected on dimensional counting grounds. Then provided we discard nonperiodic solutions as being non physical we compute the expectation values of the BRST- exact observables with the general form of the prepotential using only the orthonormality of the solutions (periodic). Third we give topological interpretations of the invariants in terms of the topological invariants wich live naturally on the punctured plane as the winding number and the fundamental group of homotopy,but this requires a prior twisting of the homotopy structure.
No associations
LandOfFree
Cohomological Quantum Mechanics And Calculability Of Observables does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Cohomological Quantum Mechanics And Calculability Of Observables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomological Quantum Mechanics And Calculability Of Observables will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-202439