Sphaleron glueballs in NBI theory with symmetrized trace

Details Sphaleron glueballs in NBI theory with symmetrized trace Sphaleron glueballs in NBI theory with symmetrized trace

2000-06-30

arxiv.org/abs/hep-th/0006242v1

Nucl.Phys.B590:504-518,2000

Physics

High Energy Physics

High Energy Physics - Theory

19 pages,6 eps figures, latex

Scientific paper

10.1016/S0550-3213(00)00561-7

We derive a closed expression for the SU(2) Born-Infeld action with the symmetrized trace for static spherically symmetric purely magnetic configurations. The lagrangian is obtained in terms of elementary functions. Using it, we investigate glueball solutions to the flat space NBI theory and their self-gravitating counterparts. Such solutions, found previously in the NBI model with the 'square root - ordinary trace' lagrangian, are shown to persist in the theory with the symmetrized trace lagrangian as well. Although the symmetrized trace NBI equations differ substantially from those of the theory with the ordinary trace, a qualitative picture of glueballs remains essentially the same. Gravity further reduces the difference between solutions in these two models, and, for sufficiently large values of the effective gravitational coupling, solutions tends to the same limiting form. The black holes in the NBI theory with the symmetrized trace are also discussed.

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