Renormalisation of noncommutative scalar field theories

被引：1

作者：

Grosse, H ^{[1
]}

Wulkenhaar, R ^{[1
]}

机构：

[1] Univ Vienna, Inst Theoret Phys, A-1090 Vienna, Austria

来源：

LIE THEORY AND ITS APPLICATIONS IN PHYSICS V, PROCEEDINGS | 2004年

关键词：

D O I：

10.1142/9789812702562_0006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present the main ideas of our proof that the real phi(4)-models on noncommutative R-2 and noncommutative R-4 are renormalisable to all orders when working in the matrix base. The proof uses renormalisation group techniques, power-counting theorems for ribbon graphs as well as orthogonal polynomials.

引用

页码：109 / 123

页数：15

共 17 条

[1]

Chepelev I, 2000, J HIGH ENERGY PHYS

[2]

Chepelev I, 2001, J HIGH ENERGY PHYS

[3]

Connes A., 1994, NONCOMMUTATIVE GEOME

[4] THE QUANTUM STRUCTURE OF SPACETIME AT THE PLANCK-SCALE AND QUANTUM-FIELDS [J].

DOPLICHER, S ;

FREDENHAGEN, K ;

ROBERTS, JE .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 172 (01) :187-220

[5]

GAYRAL V, HEPTH0307241

[6]

Grosse H, 2003, J HIGH ENERGY PHYS

[7]

GROSSE H, UNPUB RENORMALISATIO

[8]

GROSSE H, HEPTH0305066

[9]

KOEKOEK R, MATHCA9602214

[10] Exact solution of noncommutative field theory in background magnetic fields [J].

Langmann, E ;

Szabo, RJ ;

Zarembo, K .

PHYSICS LETTERS B, 2003, 569 (1-2) :95-101

← 1 2 →