Non-commutative complete Mellin representation for Feynman amplitudes
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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
20 July 2007
|
| In: |
Letters in mathematical physics
Year: 2007, Volume: 81, Issue: 2, Pages: 161-175 |
| ISSN: | 1573-0530 |
| DOI: | 10.1007/s11005-007-0170-2 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s11005-007-0170-2
|
| Author Notes: | Razvan Gurau, Adolfo Malbouisson, Vincent Rivasseau and Adrian Tanasă |
| Summary: | 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. |
|---|---|
| Item Description: | Gesehen am 28.09.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1573-0530 |
| DOI: | 10.1007/s11005-007-0170-2 |