Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-08-22
Nucl.Phys. B600 (2001) 351-377
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 28 pages, no figures, typos corrected, journal ref. given
Scientific paper
10.1016/S0550-3213(01)00060-8
The $CP^1$ model with Hopf interaction is quantised following the Batalin-Tyutin (BT) prescription. In this scheme, extra BT fields are introduced which allow for the existence of only commuting first-class constraints. Explicit expression for the quantum correction to the expectation value of the energy density and angular momentum in the physical sector of this model is derived. The result shows, in the particular operator ordering that we have chosen to work with, that the quantum effect has a divergent contribution of $ {\cal O} (\hbar^2)$ in the energy expectation value. But, interestingly the Hopf term, though topological in nature, can have a finite ${\cal O} (\hbar)$ contribution to energy density in the homotopically nontrivial topological sector. The angular momentum operator, however, is found to have no quantum correction, indicating the absence of any fractional spin even at this quantum level. Finally, the extended Lagrangian incorporating the BT auxiliary fields is computed in the conventional framework of BRST formalism exploiting Faddeev-Popov technique of path integral method.
Chakraborty Bulbul
Ghosh Subir
Malik R. P.
No associations
LandOfFree
$CP^{1}$ model with Hopf interaction: the quantum theory 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 $CP^{1}$ model with Hopf interaction: the quantum theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $CP^{1}$ model with Hopf interaction: the quantum theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-134170