Proof of a symmetrized trace conjecture for the Abelian Born-Infeld Lagrangian

被引：13

作者：

Aschieri, P

Brace, D

Morariu, B ^{[1
]}

Zumino, B

机构：

[1] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA

[2] Univ Calif Berkeley, Lawrence Berkeley Natl Lab, Theoret Phys Grp, Berkeley, CA 94720 USA

来源：

NUCLEAR PHYSICS B | 2000年 / 588卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

duality; Born-Infeld; unilateral matrix equations;

D O I：

10.1016/S0550-3213(00)00500-9

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

In this paper we prove a conjecture regarding the form of the Born-Infeld Lagrangian with a U(1)(2n) gauge group after the elimination of the auxiliary fields. We show that the Lagrangian can be written as a symmetrized trace of Lorentz invariant bilinears in the field strength. More generally, we prove a theorem regarding certain solutions of unilateral matrix equations of arbitrary order. For solutions which have perturbative expansions in the matrix coefficients, the solution and all its positive powers are sums of terms which are symmetrized in all the matrix coefficients and of terms which are commutators. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：521 / 527

页数：7