THE DYNAMICS OF RELATIVISTIC MEMBRANES - REDUCTION TO 2-DIMENSIONAL FLUID-DYNAMICS

被引：148

作者：

BORDEMANN, M ^{[1
]}

HOPPE, J ^{[1
]}

机构：

[1] UNIV KARLSRUHE,INST THEORET PHYS,D-76137 KARLSRUHE,GERMANY

来源：

PHYSICS LETTERS B | 1993年 / 317卷 / 03期

关键词：

D O I：

10.1016/0370-2693(93)91002-5

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We greatly simplify the light-cone gauge description of a relativistic membrane moving in Minkowski space by performing a field-dependent change of variables which allows the explicit solution of all constraints and a Hamiltonian reduction to a SO(1, 3) invariant 2+1-dimensional theory of isentropic gas dynamics, where the pressure is inversely proportional to (minus) the mass-density. Simple expressions for the generators of the Poincare group are given. We also find a generalized Lax pair which involves as a novel feature complex conjugation. The extension to the supersymmetric case, as well as to higher-dimensional minimal surfaces of codimension one is briefly mentioned.

引用

页码：315 / 320

页数：6

共 25 条

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