Membranes and consistent quantization of Nambu dynamics

被引：22

作者：

Zachos, C ^{[1
]}

机构：

[1] Argonne Natl Lab, Div High Energy Phys, Argonne, IL 60439 USA

来源：

PHYSICS LETTERS B | 2003年 / 570卷 / 1-2期

关键词：

D O I：

10.1016/j.physletb.2003.07.027

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The dynamics of even topological open membranes relies on Nambu brackets. Consequently, such 2p-branes can be quantized through the consistent quantization of the underlying Nambu dynamical structures. This is a summary construction relying on the methods detailed in Refs. [New J. Phys. 4 (2002) 83.1; Phys. Rev. D 68 (2003)]. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：82 / 88

页数：7

共 23 条

[1] Dynamical symmetries and Nambu mechanics [J].

Chatterjee, R .

LETTERS IN MATHEMATICAL PHYSICS, 1996, 36 (02) :117-126

[2]

CURTRIGHT T, 2003, IN PRESS PHYS REV D, V68

[3] Deformation quantization of superintegrable systems and Nambu mechanics [J].

Curtright, TL ;

Zachos, CK .

NEW JOURNAL OF PHYSICS, 2002, 4 :83.1-83.16

[4]

de Azcarraga J.A., 2001, Rev. R. Acad. Cien. Exactas Fis. Nat. Ser. A Mat., V95, P225

[5] Higher-order simple Lie algebras [J].

deAzcarraga, JA ;

Bueno, JCP .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 184 (03) :669-681

[6] On the higher-order generalizations of Poisson structures [J].

deAzcarraga, JA ;

Izquierdo, JM ;

Bueno, JCP .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (18) :L607-L616

[7] The Schouten-Nijenhuis bracket, cohomology and generalized Poisson structures [J].

deAzcarraga, JA ;

Perelomov, AM ;

Bueno, JCP .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (24) :7993-8009

[8]

Estabrook F. B., 1973, Physical Review D (Particles and Fields), V8, P2740, DOI 10.1103/PhysRevD.8.2740

[9] Covariant formulation of field theories associated with p-branes [J].

Fairlie, DB ;

Ueno, T .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (14) :3037-3045

[10]

FILIPPOV VT, 1985, SIBERIAN MATH J+, V26, P879

← 1 2 3 →