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

Benedetti, Dario; Costa, Ilaria

doi:10.1103/PhysRevD.101.086021

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

Dario Benedetti
(
- Ecole Polytechnique, CPHT
)
,
Ilaria Costa
(
- Naples U.
)

Dec 16, 2019

22 pages

Published in:

Phys.Rev.D 101 (2020) 8, 086021

Published: Apr 23, 2020

e-Print:

1912.07311 [hep-th]

DOI:

10.1103/PhysRevD.101.086021 (publication)

View in:

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Abstract: (APS)

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.

Note:

33 pages; v2: amended introduction and added references

String theory, quantum gravity, gauge/gravity duality
model: tensor
boson: tensor
field theory: tensor
SO(3)
O(N)
spontaneous symmetry breaking
effective action
field equations
two-particle

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

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