SO(3)-invariant phase of the O(N)3 tensor model

We study classical and quantum (at large-N) field equations of bosonic tensor models with quartic interactions and O(N)3 symmetry. Among various possible patterns of spontaneous symmetry breaking we highlight an SO(3) invariant solution, with the tensor field expressed in terms of the Wigner 3jm sym...

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Bibliographic Details
Published in:Physical review. D 2020-04, Vol.101 (8)
Main Authors: Benedetti, Dario, Costa, Ilaria
Format: Article
Language:English
Subjects:
Broken symmetry
High Energy Physics - Theory
Invariants
Mathematical analysis
Physics
Tensors
Online Access:Get full text
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Summary:We study classical and quantum (at large-N) field equations of bosonic tensor models with quartic interactions and O(N)3 symmetry. Among various possible patterns of spontaneous symmetry breaking we highlight an SO(3) invariant solution, with the tensor field expressed in terms of the Wigner 3jm symbol. We argue that such solution has a special role in the large-N limit, as in particular its scaling in N can provide an on-shell justification for the melonic large-N limit of the two-particle irreducible effective action in a broken phase.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.101.086021