Ward identity violation for melonic T 4 -truncation

Lahoche, Vincent (Commissariat à l'Énergie Atomique (CEA, LIST), 8 Avenue de la Vauve, Palaiseau, 91120, France) ; Ousmane Samary, Dine  (Commissariat à l'Énergie Atomique (CEA, LIST), 8 Avenue de la Vauve, Palaiseau, 91120, France) (Facultée des Sciences et Techniques (ICMPA-UNESCO Chair), Université d'Abomey-Calavi, 072 BP 50, Benin)

02 February 2019

Abstract: Referring to recent works concerning the functional renormalization group for tensorial group fields theories (Lahoche and Ousmane Samary (2018) [2] and [1] ), this paper gives in-depth explanation for, the ambiguity around the search of fixed points in the Wetterich flow equation and the Ward–Takahashi identities. We consider the U(1) -tensors models and discuss the non-existence of phase transition taking into account the Ward-identities as new constraint along the flow. We prove that the quartic melonic tensorial group fields theories without closure constraint are devoid with the fixed points and therefore the phase transitions.


Published in: Nuclear Physics B 940 (2019) 190-213
Published by: Elsevier
DOI: 10.1016/j.nuclphysb.2019.01.005
License: CC-BY-3.0



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