Dimensional Regularization and Renormalization of Non-Commutative Quantum Field Theory

• DOI: 10.1007/s00023-008-0363-y
• Publication Date: 2008-05-23T09:34:13Z
• Authors: Razvan Gurău; Adrian Tanasă
• Keywords: High Energy Physics - Theory; High Energy Physics - Theory (hep-th); [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]; [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]; [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]; 0103 physical sciences; FOS: Physical sciences; Mathematical Physics (math-ph); 01 natural sciences; Mathematical Physics

Using the recently introduced parametric representation of non-commutative quantum field theory, we implement here the dimensional regularization and renormalization of the vulcanized $��^{\star 4}_4$ model on the Moyal space.<br/>31 pages, 8 figures<br/>