Tuesday, July 31, 2012

1207.6734 (Sylvain Carrozza et al.)

Renormalization of Tensorial Group Field Theories: Abelian U(1) Models
in Four Dimensions
   [PDF]

Sylvain Carrozza, Daniele Oriti, Vincent Rivasseau
We tackle the issue of renormalizability for Tensorial Group Field Theories (TGFT) including gauge invariance conditions, with the rigorous tool of multi-scale analysis, to prepare the ground for applications to quantum gravity models. In the process, we define the appropriate generalization of some key QFT notions, including: connectedness, locality and contraction of (high) subgraphs. We also define a new notion of Wick ordering, corresponding to the subtraction of (maximal) melonic tadpoles. We then consider the simplest examples of dynamical 4-dimensional TGFT with gauge invariance conditions for the Abelian U(1) case. We prove that they are super-renormalizable for any polynomial interaction.
View original: http://arxiv.org/abs/1207.6734

No comments:

Post a Comment