Non-commutative geometry and symplectic field theory

被引：29

作者：

Amorim, R. G. G.

Fernandes, M. C. B.

Khanna, F. C.

Santana, A. E. ^{[1
]}

Vianna, J. D. M.

机构：

[1] Univ Brasilia, Inst Fis, BR-70910900 Brasilia, DF, Brazil

[2] Univ Alberta, Dept Phys, Theoret Phys Inst, Edmonton, AB T6G 2J1, Canada

[3] TRIUMF, Vancouver, BC V6T 2A3, Canada

[4] Univ Fed Bahia, Inst Fis, BR-40210340 Salvador, BA, Brazil

来源：

PHYSICS LETTERS A | 2007年 / 361卷 / 06期

关键词：

D O I：

10.1016/j.physleta.2006.09.074

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work we study representations of the Poincare group defined over symplectic manifolds, deriving the Klein-Gordon and the Dirac equation in phase space. The formalism is associated with relativistic Wigner functions; the Noether theorem is derived in phase space and an interacting field, including a gauge field, approach is discussed. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：464 / 471

页数：8

共 21 条

[1] Hamiltonian BRST quantization of a noncommutative non-Abelian gauge theory and its Seiberg-Witten map [J].

Amorim, R ;

Farias, FA .

PHYSICAL REVIEW D, 2004, 69 (04)

[2] Poincare-Lie algebra and relativistic phase space [J].

Andrade, MCB ;

Santana, AE ;

Vianna, JDM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (22) :4015-4024

[3] ON A QUANTUM ALGEBRAIC APPROACH TO A GENERALIZED PHASE-SPACE [J].

BOHM, D ;

HILEY, BJ .

FOUNDATIONS OF PHYSICS, 1981, 11 (3-4) :179-203

[4] Wigner trajectory characteristics in phase space and field theory [J].

Curtright, T ;

Zachos, C .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (05) :771-779

[5] Features of time-independent Wigner functions [J].

Curtright, T ;

Fairlie, D ;

Zachos, C .

PHYSICAL REVIEW D, 1998, 58 (02)

[6]

de Gosson M. A., 2000, J PHYS A, V38, P1

[7] Galilean Duffin-Kemmer-Petiau algebra and symplectic structure [J].

Fernandes, MCB ;

Santana, AE ;

Vianna, JDM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (13) :3841-3854

[8]

FERNANDES MCB, 1999, BRAZ J PHYS, V28, P2

[9] SYMMETRIES AND TIME EVOLUTION IN DISCRETE PHASE SPACES - A SOLUBLE MODEL CALCULATION [J].

GALETTI, D ;

PIZA, AFR .

PHYSICA A, 1995, 214 (02) :207-228

[10] DISTRIBUTION-FUNCTIONS IN PHYSICS - FUNDAMENTALS [J].

HILLERY, M ;

OCONNELL, RF ;

SCULLY, MO ;

WIGNER, EP .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1984, 106 (03) :121-167

← 1 2 3 →