Ward-Takahashi identities for the colored Boulatov model

Abstract

Ward-Takahashi identities of the colored Boulatov model are derived using a generic unitary field transformation. In a specific instance, this generic transformation turns out to be a symmetry of the interaction so that particular classes of reduced Ward-Takahashi identities for that symmetry are consequently identified and interpreted.

typos corrected, more comments

References in corpus (12)

• Critical behavior of colored tensor models in the large N limit
• Group field theory with non-commutative metric variables
• The 1/N expansion of colored tensor models in arbitrary dimension
• Vanishing of Beta Function of Non Commutative ${\Phi }_4^4$ Theory to all orders
• The 1/N expansion of colored tensor models
• Group field theory renormalization - the 3d case: power counting of divergences
• Scaling behaviour of three-dimensional group field theory
• Diffeomorphisms in group field theories
• EPRL/FK Group Field Theory
• Lost in Translation: Topological Singularities in Group Field Theory
• Radiative corrections in the Boulatov-Ooguri tensor model: The 2-point function
• Vanishing beta function for Grosse-Wulkenhaar model in a magnetic field

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• Nonperturbative renormalization group beyond melonic sector: The Effective Vertex Expansion method for group fields theories
• Progress in the solving nonperturbative renormalization group for tensorial group field theory
• Reliability of the local truncations for the random tensor models renormalization group flow
• Pedagogical comments about nonperturbative Ward-constrained melonic renormalization group flow
• Flowing in discrete gravity models and Ward identities: A review
• Classical Group Field Theory