Parametric Representation of “Covariant” Noncommutative QFT Models

2007/01/11 by Vincent Rivasseau, Adrian Tanasă, Adrian Tanasa · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #hep-th #math-ph #math.MP #msc:81T15 #msc:81T75

paper · pdf · doi:10.1007/s00220-008-0437-1

published as Commun.Math.Phys.279:355-379,2008 · 30 pages, 12 figures

arxiv created 2007/01/11 · openalex publication_date 2008/02/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We extend the parametric representation of renormalizable non commutative quantum field theories to a class of theories which we call "critical", 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.

Citations

• Parametric Representation of Noncommutative Field Theory
• Renormalization of the Orientable Non-commutative Gross–Neveu Model

Cited by

• Curing the UV/IR mixing for field theories with translation-invariant star products
• EXISTENCE OF ASYMPTOTIC EXPANSIONS IN NONCOMMUTATIVE QUANTUM FIELD THEORIES