Parametric representation of "Covariant" noncommutative QFT models

被引：19

作者：

Rivasseau, Vincent ^{[1
]}

Tanasa, Adrian ^{[1
]}

机构：

[1] Univ Paris 11, Phys Theor Lab, CNRS, UMR 8627, F-91405 Orsay, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2008年 / 279卷 / 02期

关键词：

D O I：

10.1007/s00220-008-0437-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We extend the parametric representation of renormalizable non commutative quantum field theories to a class of theories which we call "covariant", because their power counting is definitely more difficult to obtain.This class of theories is important since it includes gauge theories, which should be relevant for the quantum Hall effect.

引用

页码：355 / 379

页数：25

共 18 条

[1] The Grassmann-Berezin calculus and theorems of the matrix-tree type [J].

Abdesselam, A .

ADVANCES IN APPLIED MATHEMATICS, 2004, 33 (01) :51-70

[2]

CONNOR KM, 1998, CNS SPECTRUMS S2, V3, P43

[3] Noncommutative field theory [J].

Douglas, MR ;

Nekrasov, NA .

REVIEWS OF MODERN PHYSICS, 2001, 73 (04) :977-1029

[4] Divergencies in a field theory on quantum space [J].

Filk, T .

PHYSICS LETTERS B, 1996, 376 (1-3) :53-58

[5] Renormalisation of σ4-theory on noncommutative R4 stop in the matrix base [J].

Grosse, H ;

Wulkenhaar, R .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2005, 256 (02) :305-374

[6] Power-counting theorem for non-local matrix models and renormalisation [J].

Grosse, H ;

Wulkenhaar, R .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2005, 254 (01) :91-127

[7] Parametric representation of noncommutative field theory [J].

Gurau, Razvan ;

Rivasseau, Vincent .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 272 (03) :811-835

[8]

Gurau R, 2006, COMMUN MATH PHYS, V267, P515, DOI 10.1007/s00220-006-0055-8

[9] Propagators for noncommutative field theories [J].

Gurau, Razvan ;

Rivasseau, Vincent ;

Vignes-Tourneret, Fabien .

ANNALES HENRI POINCARE, 2006, 7 (7-8) :1601-1628

[10]

Hellerman S, 2001, J HIGH ENERGY PHYS

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