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- W1808256876 abstract "In view of the newly discovered and physically acceptable $PT$ symmetric and non-Hermitian models, we reinvestigated the phase structure of the $(g{ensuremath{phi}}^{4}+h{ensuremath{phi}}^{6}{)}_{1+1}$ Hermitian model. The reinvestigation concerns the possibility of a phase transition from the original Hermitian and $PT$ symmetric phase to a non-Hermitian and $PT$ symmetric one. This kind of phase transition, if verified experimentally, will lead to the first proof that non-Hermitian and $PT$ symmetric models are not just a mathematical research framework but are a nature desire. To do the investigation, we calculated the effective potential up to second order in the couplings and found a Hermitian to non-Hermitian phase transition. This leads us to introduce, for the first time, Hermiticity as a symmetry which can be broken due to quantum corrections, i.e., when starting with a model which is Hermitian in the classical level, quantum corrections can break Hermiticity while the theory stays physically acceptable. In fact, ignoring this phase will lead to violation of universality when comparing these model predictions with other models in the same class of universality. For instance, in a previous work we obtained a second order phase transition for the $PT$ symmetric and non-Hermitian ($ensuremath{-}g{ensuremath{phi}}^{4}$) model and according to universality, this phase should exist in the phase structure of the ($g{ensuremath{phi}}^{4}+h{ensuremath{phi}}^{6}$) model for negative $g$. Finally, among the novelties in this paper, in our calculation for the effective potential, we introduced a new renormalization group equation which describes the invariance of the bare vacuum energy under the change of the scale. We showed that without this invariance, the original theory and the effective one are inequivalent." @default.
- W1808256876 created "2016-06-24" @default.
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- W1808256876 date "2007-08-31" @default.
- W1808256876 modified "2023-09-25" @default.
- W1808256876 title "Novel phase in the phase structure of the(gϕ4+hϕ6)1+1field theoretic model" @default.
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- W1808256876 doi "https://doi.org/10.1103/physrevd.76.041702" @default.
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