Non-commutative complete Mellin representation for Feynman amplitudes

• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Verfasst von: Malbouisson, Adolfo [VerfasserIn]
• Verfasst von: Rivasseau, Vincent [VerfasserIn]
• Verfasst von: Tanasa, Adrian [VerfasserIn]
• Titel: Non-commutative complete Mellin representation for Feynman amplitudes
• Verf.angabe: Razvan Gurau, Adolfo Malbouisson, Vincent Rivasseau and Adrian Tanasă
• E-Jahr: 2007
• Jahr: 20 July 2007
• Umfang: 15 S.
• Fussnoten: Gesehen am 28.09.2022
• Titel Quelle: Enthalten in: Letters in mathematical physics
• Ort Quelle: Dordrecht [u.a.] : Springer Science + Business Media B.V, 1975
• Jahr Quelle: 2007
• Band/Heft Quelle: 81(2007), 2, Seite 161-175
• ISSN Quelle: 1573-0530
• DOI: doi:10.1007/s11005-007-0170-2
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: 11.10.N.
• Sach-SW: 81T18
• Sach-SW: 81T75
• Sach-SW: Feynman amplitudes
• Sach-SW: Mellin representation
• Sach-SW: Non-commutative field theory
• K10plus-PPN: 1805484168

Abstract

We extend the complete Mellin (CM) representation of Feynman amplitudes to the non-commutative quantum field theories. This representation is a versatile tool. It provides a quick proof of meromorphy of Feynman amplitudes in parameters such as the dimension of space-time. In particular it paves the road for the dimensional renormalization of these theories. This complete Mellin representation also allows the study of asymptotic behavior under rescaling of arbitrary subsets of external invariants of any Feynman amplitude.