NEW QUANTUM POINCARE ALGEBRA AND KAPPA-DEFORMED FIELD-THEORY

被引：527

作者：

LUKIERSKI, J ^{[1
]}

NOWICKI, A ^{[1
]}

RUEGG, H ^{[1
]}

机构：

[1] UNIV BORDEAUX,PHYS THEOR LAB,F-33175 GRANDIGNAN,FRANCE

来源：

PHYSICS LETTERS B | 1992年 / 293卷 / 3-4期

关键词：

D O I：

10.1016/0370-2693(92)90894-A

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We derive a new real quantum Poincare algebra with standard real structure, obtained by contraction of U(q)(O(3, 2)) (q real), which is a standard real Hopf algebra, depending on a dimension-full parameter kappa instead of q. For our real quantum Poincare algebra both Casimirs are given. The free scalar kappa-deformed quantum field theory is considered. it appears that the kappa-parameter introduced nonlocal q-time derivatives with In q approximately 1/kappa.

引用

页码：344 / 352

页数：9

共 26 条

[1] THE QUANTUM HEISENBERG-GROUP H(1)Q [J].

CELEGHINI, E ;

GIACHETTI, R ;

SORACE, E ;

TARLINI, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (05) :1155-1158

[2] THE 3-DIMENSIONAL EUCLIDEAN QUANTUM GROUP E(3)Q AND ITS R-MATRIX [J].

CELEGHINI, E ;

GIACHETTI, R ;

SORACE, E ;

TARLINI, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (05) :1159-1165

[3]

CELEGHINI E, 1991, 1ST P EIMI WORKSH QU

[4]

CELEGHINI E, DFF1511191 U FLOR PR

[5]

DOBREV V, 1991, CANONICAL Q DEFORMAT

[6]

Drinfeld V.G., 1989, ALGEBRA ANAL, V1, P30

[7]

Faddeev L.D., 1989, ALGEBRA ANALIZ, P178

[8] MORE ABOUT THE Q-DEFORMED POINCARE ALGEBRA [J].

GILLER, S ;

KOSINSKI, P ;

MAJEWSKI, M ;

MASLANKA, P ;

KUNZ, J .

PHYSICS LETTERS B, 1992, 286 (1-2) :57-62

[9]

JACKSON FN, 1910, APPL MATH, V41, P143

[10]

KOSINSKI P, COMMUNICATION

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