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4 papers · 2 filters
Feynman amplitudes in renormalizable non-commutative quantum field theory
Adrian Tanasa
We consider here the Feynman amplitudes of renormalizable non-commutative quantum field theory models. Different representations (the parametric and the Mellin one) are presented.…
Constructive field theory without tears
J. Magnen, V. Rivasseau
We propose to treat the Euclidean theory constructively in a simpler way. Our method, based on a new kind of "loop vertex expansion", no longer requires the painful intermedi…
Non-Commutative Complete Mellin Representation for Feynman Amplitudes
R. Gurau, A. P. C. Malbouisson, V. Rivasseau +1
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…
Parametric representation of "critical" noncommutative QFT models
Vincent Rivasseau, Adrian Tanasa
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 de…