A Translation-Invariant Renormalizable Non-Commutative Scalar Model

被引：0

作者：

R. Gurau

J. Magnen

V. Rivasseau

A. Tanasa

机构：

[1] Université Paris XI,Laboratoire de Physique Théorique, CNRS UMR 8627, bât. 210

[2] Ecole Polytechnique,Centre de Physique Théorique, CNRS UMR 7644

[3] Institutul de Fizica si Inginerie Nucleara Horia Hulubei,undefined

[4] Max-Planck-Institut fur Mathematik,undefined

来源：

Communications in Mathematical Physics | 2009年 / 287卷

关键词：

External Momentum; Power Counting; Feynman Graph; External Line; Wave Function Renormalization;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we propose a translation-invariant scalar model on the Moyal space. We prove that this model does not suffer from the UV/IR mixing and we establish its renormalizability to all orders in perturbation theory.

引用

页码：275 / 290

页数：15

共 50 条

[31] Scalar field theories in a Lorentz-invariant three-dimensional non-commutative space-time
Imai, S
Sasakura, N
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2000, (09):
[32] Translation-invariant maps and applications
Niezgoda, Marek
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 354 (01) : 111 - 124
[33] DUALITY THEORY OF NON-COMMUTATIVE GROUPS WITH INVARIANT SUBGROUP TOPOLOGY
JOACHIM, E
[J]. MATHEMATISCHE ZEITSCHRIFT, 1969, 111 (01) : 46 - &
[34] The Space of Measurement Outcomes as a Spectral Invariant for Non-Commutative Algebras
Bas Spitters
[J]. Foundations of Physics, 2012, 42 : 896 - 908
[35] Translation-invariant propelinear codes
Rifa, J
Pujol, J
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1997, 43 (02) : 590 - 598
[36] Testing non-commutative QED, constructing non-commutative MHD
Guralnik, Z
Jackiw, R
Pi, SY
Polychronakos, AP
[J]. PHYSICS LETTERS B, 2001, 517 (3-4) : 450 - 456
[37] Gauge invariant operators in field theories on non-commutative spaces
Dorn, H
[J]. FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2002, 50 (8-9): : 884 - 889
[38] Ising model on trees: (k0) - non translation-invariant Gibbs measures
Rahmatullaev, Muzaffar
[J]. 37TH INTERNATIONAL CONFERENCE ON QUANTUM PROBABILITY AND RELATED TOPICS (QP37), 2017, 819
[39] COMPLEMENTED TRANSLATION-INVARIANT SUBSPACES
ALSPACH, DE
[J]. LECTURE NOTES IN MATHEMATICS, 1988, 1332 : 112 - 125
[40] STRUCTURE OF TRANSLATION-INVARIANT MEMORIES
COFFMAN, CV
SCHAFFER, JJ
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1974, 16 (03) : 428 - 459

← 1 2 3 4 5 →