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15 papers · 1 filter
Hidden Grassmann Structure in the XXZ Model III: Introducing Matsubara direction
M. Jimbo, T. Miwa, F. Smirnov
We address the problem of computing temperature correlation functions of the XXZ chain, within the approach developed in our previous works. In this paper we calculate the expected…
One-loop functions of a translation-invariant renormalizable noncommutative scalar model
Joseph Ben Geloun, Adrian Tanasa
Recently, a new type of renormalizable scalar model on the Moyal space was proved to be perturbatively renormalizable. It is translation-invariant and introduces…
A translation-invariant renormalizable non-commutative scalar model
R. Gurau, J. Magnen, V. Rivasseau +1
In this paper we propose a translation-invariant scalar model on the Moyal space. We prove that this model does not suffer from the UV/IR mixing and we establish its renormalizabil…
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.…
On the ternary complex analysis and its applications
L. N. Lipatov, M. Rausch de Traubenberg, G. G. Volkov
Previouly a possible extension of the complex number, together with its connected trigonometry was introduced. In this paper we focuss on the simplest case of ternary complex numbe…
Ternary algebras and groups
M. Rausch de Traubenberg
We construct explicitly groups associated to specific ternary algebras which extend the Lie (super)algebras (called Lie algebras of order three). It turns out that the natural vari…