Ward identity violation for melonic T4-truncation

Autor: Vincent Lahoche, Dine Ousmane Samary
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Nuclear Physics B, Vol 940, Iss , Pp 190-213 (2019)
Druh dokumentu: article
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2019.01.005
Popis: 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.
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