On the effective character of a non abelian DBI action

Details On the effective character of a non abelian DBI action On the effective character of a non abelian DBI action

2000-11-20

arxiv.org/abs/hep-th/0011178v2

Phys.Lett. B502 (2001) 239-245

Physics

High Energy Physics

High Energy Physics - Theory

Old section 3 suppressed, the end of old section 4 is now an appendix. For the obssesed reader, we also stress that the work h

Scientific paper

10.1016/S0370-2693(01)00195-2

We study the way Lorentz covariance can be reconstructed from Matrix Theory as a IMF description of M-theory. The problem is actually related to the interplay between a non abelian Dirac-Born-Infeld action and Super-Yang-Mills as its generalized non-relativistic approximation. All this physics shows up by means of an analysis of the asymptotic expansion of the Bessel functions $K_\nu$ that profusely appear in the computations of amplitudes at finite temperature and solitonic calculations. We hope this might help to better understand the issue of getting a Lorentz covariant formulation in relation with the $N\to +\infty$ limit. There are also some computations that could be of some interest in Relativistic Statistical Mechanics.

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