402 research outputs found
Extension of the Poincar\'e Symmetry and Its Field Theoretical Implementation
We define a new algebraic extension of the Poincar\'e symmetry; this algebra
is used to implement a field theoretical model. Free Lagrangians are explicitly
constructed; several discussions regarding degrees of freedom, compatibility
with Abelian gauge invariance etc. are done. Finally we analyse the
possibilities of interaction terms for this model.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and
Applications) at http://www.emis.de/journals/SIGMA
The Multi-Orientable Random Tensor Model, a Review
After its introduction (initially within a group field theory framework) in
[Tanasa A., J. Phys. A: Math. Theor. 45 (2012), 165401, 19 pages,
arXiv:1109.0694], the multi-orientable (MO) tensor model grew over the last
years into a solid alternative of the celebrated colored (and colored-like)
random tensor model. In this paper we review the most important results of the
study of this MO model: the implementation of the expansion and of the
large limit ( being the size of the tensor), the combinatorial analysis
of the various terms of this expansion and finally, the recent implementation
of a double scaling limit
Dimensional regularization and renormalization of non-commutative QFT
Using the recently introduced parametric representation of non-commutative
quantum field theory, we implement here the dimensional regularization and
renormalization of the vulcanized model on the Moyal space.Comment: 31 pages, 8 figure
Asymptotic expansion of the multi-orientable random tensor model
Three-dimensional random tensor models are a natural generalization of the
celebrated matrix models. The associated tensor graphs, or 3D maps, can be
classified with respect to a particular integer or half-integer, the degree of
the respective graph. In this paper we analyze the general term of the
asymptotic expansion in N, the size of the tensor, of a particular random
tensor model, the multi-orientable tensor model. We perform their enumeration
and we establish which are the dominant configurations of a given degree.Comment: 27 pages, 24 figures, several minor modifications have been made, one
figure has been added; accepted for publication in "Electronic Journal of
Combinatorics
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