Exactness in the Wentzel–Kramers–Brillouin approximation for some homogeneous spaces
Exactness in the Wentzel–Kramers–Brillouin approximation for some homogeneous spaces
Analysis of the WKB exactness in some homogeneous spaces is attempted. $CP^N$ as well as its noncompact counterpart $D_{N,1}$ is studied. $U(N+1)$ or U(N,1) based on the Schwinger bosons leads us to $CP^N$ or $D_{N,1}$ path integral expression for the quantity, ${\rm tr} e^{-iHT}$, with the aid of coherent states. …