Symmetry breaking and RG flows with higher dimensional operators

Fotis Koutroulis; Nikos Irges

Symmetry breaking and RG flows with higher dimensional operators

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arxiv 1905.05506 v2 pith:O7VQVO5L submitted 2019-05-14 hep-th hep-ph

Nikos Irges , Fotis Koutroulis This is my paper · ORCID

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keywords flowsoperatorsbasisbreakingdimensionalfieldghostshigher

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abstract

We discuss the role of higher dimensional operators in the spontaneous breaking of internal symmetry and scale invariance, in the context of the Lorentz invariant scalar field theory. Using the $\varepsilon$-expansion we determine phase diagrams and demonstrate that (un)stable RG flows computed with a certain basis of dimension 6 operators in the Lagrangian, map to (un)stable RG flows of another basis related to the first by field redefinitions. Crucial is the presence of reparametrization ghosts if Ostrogradsky ghosts appear.

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