Parametric Representation of “Covariant” Noncommutative QFT Models

• DOI: 10.1007/s00220-008-0437-1
• Publication Date: 2008-02-18T06:47:49Z
• Authors: Vincent Rivasseau; Adrian Tanasă
• Keywords: High Energy Physics - Theory; [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]; [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]; FOS: Physical sciences; Mathematical Physics (math-ph); 01 natural sciences; High Energy Physics - Theory (hep-th); [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]; 0103 physical sciences; 81T15 (Primary), 81T75 (Secondary); [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th]; Mathematical Physics

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.<br/>30 pages, 12 figures<br/>