Sphaleron glueballs in NBI theory with symmetrized trace

Abstract

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.

19 pages,6 eps figures, latex

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• Dyonic Instantons in Five Dimensional Gauge Theories
• Classical glueballs in non-Abelian Born-Infeld theory
• Non-Abelian Einstein-Born-Infeld Black Holes
• Geometry of the Nonabelian DBI Dyonic Instanton
• Monopoles, Dyons and Theta Term in Dirac-Born-Infeld Theory
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• Black hole solutions coupled to Born-Infeld electrodynamics with derivative corrections
• Non-Abelian Einstein-Born-Infeld Black Holes
• Stabilization of the Yang-Mills chaos in non-Abelian Born-Infeld theory
• Monopoles in NBI-Higgs theory and Born-Infeld collapse
• The Born-Infeld Sphaleron
• Solitons in Non-Abelian Born-Infeld Theory
• Remarks on the interaction between Born-Infeld solitons
• Dyons in Nonabelian Born-Infeld Theory