Novel phase in the phase structure of the (g{phi}{sup 4}+h{phi}{sup 6}){sub 1+1} field theoretic model
- Centre for Theoretical Physics, British University in Egypt, El Sherouk City, Misr Ismalia Desert Road, Postal No. 11837, P.O. Box 43 (Egypt) and Physics Department, Faculty of Science, Mansoura University (Egypt)
In view of the newly discovered and physically acceptable PT symmetric and non-Hermitian models, we reinvestigated the phase structure of the (g{phi}{sup 4}+h{phi}{sup 6}){sub 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 (-g{phi}{sup 4}) model and according to universality, this phase should exist in the phase structure of the (g{phi}{sup 4}+h{phi}{sup 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.
- OSTI ID:
- 21027550
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 76, Issue 4; Other Information: DOI: 10.1103/PhysRevD.76.041702; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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