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

被引：152
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.
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页码：315 / 320
页数：6
相关论文
共 25 条
[1]  
BOGOYAVLENSKII OI, 1989, MATH USSR IZV, V32, P245
[2]   GL(INFINITY) AND GEOMETRIC-QUANTIZATION [J].
BORDEMANN, M ;
HOPPE, J ;
SCHALLER, P ;
SCHLICHENMAIER, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 138 (02) :209-244
[3]  
BORDEMANN M, 1993, FRTHEP9319 U FREIB P
[4]  
BORDEMANN M, 1993, KATHEP593 U KARLSR P
[5]   EXISTENCE OF STABLE ORBITS IN THE X2Y2 POTENTIAL [J].
DAHLQVIST, P ;
RUSSBERG, G .
PHYSICAL REVIEW LETTERS, 1990, 65 (23) :2837-2838
[6]   ON THE QUANTUM-MECHANICS OF SUPERMEMBRANES [J].
DEWIT, B ;
HOPPE, J ;
NICOLAI, H .
NUCLEAR PHYSICS B, 1988, 305 (04) :545-581
[7]   THE SUPERMEMBRANE IS UNSTABLE [J].
DEWIT, B ;
LUSCHER, M ;
NICOLAI, H .
NUCLEAR PHYSICS B, 1989, 320 (01) :135-159
[8]   AN EXTENSIBLE MODEL OF ELECTRON [J].
DIRAC, PAM .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1962, 268 (1332) :57-&
[9]  
DUFF M, 1990, P SUPERMEMBRANES PHY
[10]   UNIVERSAL FIELD-EQUATIONS WITH COVARIANT SOLUTIONS [J].
FAIRLIE, DB ;
GOVAERTS, J ;
MOROZOV, A .
NUCLEAR PHYSICS B, 1992, 373 (01) :214-232
123