Ward-Takahashi identities for the colored Boulatov model
Joseph Ben Geloun
TL;DR
This paper derives Ward-Takahashi identities for the colored Boulatov model using a generic unitary transformation, identifying symmetries and reduced identities relevant to the model.
Contribution
It introduces a generic unitary transformation approach to derive Ward-Takahashi identities and identifies symmetries specific to the colored Boulatov model.
Findings
Derived Ward-Takahashi identities for the model.
Identified symmetries leading to reduced identities.
Interpreted the significance of these identities in the 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.
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