Hamiltonian formalism for space-time noncommutative theories

被引：74

作者：

Gomis, J ^{[1
]}

Kamimura, K

Llosa, J

机构：

[1] CERN, Div Theory, CH-1211 Geneva 23, Switzerland

[2] Univ Barcelona, Fac Fis, Dept Estructura & Constituents Mat, E-08028 Barcelona, Spain

[3] Inst Fis Altes Energies, E-08028 Barcelona, Spain

[4] Toho Univ, Dept Phys, Chiba 2748510, Japan

[5] Univ Barcelona, Dept Fis Fonamental, E-08028 Barcelona, Spain

来源：

PHYSICAL REVIEW D | 2001年 / 63卷 / 04期

关键词：

D O I：

10.1103/PhysRevD.63.045003

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Space-time non-commutative theories are nonlocal in time. We develop the Hamiltonian formalism for non-local field theories in d space-time dimensions by considering auxiliary (d+1)-dimensional field theories which are local with respect to the evolution time. The Hamiltonian path integral quantization is considered and the Feynman rules in the Lagrangian formalism are derived. The case of non-commutative phi (3) theory is considered as an example.

引用

页数：6

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