Test functions space in noncommutative quantum field theory

被引：18

作者：

Chaichian, M. ^{[1
,2
]}

Mnatsakanova, M. ^{[3
]}

Tureanu, A. ^{[1
,2
]}

Vernov, Yu. ^{[4
]}

机构：

[1] Univ Helsinki, Dept Phys, POB 64, Helsinki 00014, Finland

[2] Helsinski Inst Phys, Helsinki 00014, Finland

[3] Moscow MV Lomonosov State Univ, Skobeltsyn Inst Nucl Phys, Moscow 119992, Russia

[4] Russian Acad Sci, Inst Nucl Res, Moscow 117312, Russia

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2008年 / 09期

基金：

芬兰科学院;

关键词：

non-commutative geometry; space-time symmetries;

D O I：

10.1088/1126-6708/2008/09/125

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

It is proven that the *-product of field operators implies that the space of test functions in the Wightman approach to noncommutative quantum field theory is one of the Gel'fand-Shilov spaces S-beta with beta < 1/2. This class of test functions smears the noncommutative Wightman functions, which are in this case generalized distributions, sometimes called hyperfunctions. The existence and determination of the class of the test function spaces in NC QFT is important for any rigorous treatment in the Wightman approach.

引用

页数：11

共 30 条

[1]

Aharony O, 2000, J HIGH ENERGY PHYS

[2] General properties of non-commutative field theories [J].

Alvarez-Gaumé, L ;

Vázquez-Mozo, MA .

NUCLEAR PHYSICS B, 2003, 668 (1-2) :293-321

[3]

Alvarez-Gaumé L, 2001, J HIGH ENERGY PHYS

[4]

Alvarez-Gaumé L, 2001, INT J MOD PHYS A, V16, P1123, DOI 10.1142/S0217751X01002750

[5]

Bogoliubov N. N., 1990, GEN PRINCIPLES QUANT

[6]

BRUNING E, 1989, J MATH PHYS, V30, P2340, DOI 10.1063/1.528564

[7] An interpretation of noncommutative field theory in terms of a quantum shift [J].

Chaichian, M ;

Nishijima, K ;

Tureanu, A .

PHYSICS LETTERS B, 2006, 633 (01) :129-133

[8] Toward an axiomatic formulation of noncommutative quantum field theory [J].

Chaichian, M. ;

Mnatsakanova, M. N. ;

Nishijima, K. ;

Tureanu, A. ;

Vernov, Yu. S. .

JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (03)

[9] Spin-statistics and CPT theorems in noncommutative field theory [J].

Chaichian, M ;

Nishijima, K ;

Tureanu, A .

PHYSICS LETTERS B, 2003, 568 (1-2) :146-152

[10] New concept of relativistic invariance in noncommutative space-time: Twisted poincare symmetry and its implications [J].

Chaichian, M ;

Presnajder, P ;

Tureanu, A .

PHYSICAL REVIEW LETTERS, 2005, 94 (15)

← 1 2 3 →