Translation-Invariant Noncommutative Renormalization

Details Translation-Invariant Noncommutative Renormalization Translation-Invariant Noncommutative Renormalization

2010-03-25

arxiv.org/abs/1003.4877v3

SIGMA 6 (2010), 047, 13 pages

Physics

High Energy Physics

High Energy Physics - Theory

v2: insights on the renormalizability proof and on the commutative limit of the model were added, typos corrected, some refere

Scientific paper

10.3842/SIGMA.2010.047

We review here the construction of a translation-invariant scalar model which
was proved to be perturbatively renormalizable on Moyal space. Some general
considerations on nonlocal renormalizability are given. Finally, we present
perspectives for generalizing these quantum field theoretical techniques to
group field theory, a new setting for quantum gravity.

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