Singular topologies in the Boulatov model

Carrozza, Sylvain

doi:10.1088/1742-6596/360/1/012045

J. Phys.: Conf. Ser.

2012

DOI: 10.1088/1742-6596/360/1/012045

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Singular topologies in the Boulatov model

Sylvain Carrozza¹

Abstract: Abstract. Through the question of singular topologies in the Boulatov model, we illustrate and summarize some of the recent advances in Group Field Theory.

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Bubbles and jackets: new scaling bounds in topological group field theories

Carrozza

Oriti

2012

J. High Energ. Phys.

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EUWe use a reformulation of topological group field theories in 3 and 4 dimensions in terms of variables associated to vertices, in 3d, and edges, in 4d, to obtain new scaling bounds for their Feynman amplitudes. In both 3 and 4 dimensions, we obtain a bubble bound proving the suppression of singular topologies with respect to the first terms in the perturbative expansion (in the cut-off). We also prove a new, stronger jacket bound than the one currently available in the literature. We expect these results to be relevant for other tensorial field theories of this type, as well as for group field theory models for 4d quantum gravity.

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Bubbles and jackets: new scaling bounds in topological group field theories

Carrozza

Oriti

2012

J. High Energ. Phys.

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Singular topologies in the Boulatov model

Abstract: Abstract. Through the question of singular topologies in the Boulatov model, we illustrate and summarize some of the recent advances in Group Field Theory.

Cited by 1 publication

References 17 publications

Bubbles and jackets: new scaling bounds in topological group field theories

Bubbles and jackets: new scaling bounds in topological group field theories

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