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A comparative analysis of a model of complex scalar field φ and real scalar field χ with interaction for the real and purely imaginary values of coupling g in perturbative and non-perturbative regions is provided. In contrast to the usual Hermitian version real g, which is asymptotically free and energetically unstable, the non-Hermitian PT-symmetric theory imaginary g is energetically stable and not asymptotically free. The non-perturbative approach based on Schwinger-Dyson equations reveals new interesting feature of the non-Hermitian model. While in the Hermitian version of theory the phion propagator has the non-physical non-isolated singularity in the Euclidean region of momenta, the non-Hermitian theory substantially free of this drawback, as the singularity moves in the pseudo-Euclidean region.


Scalar Field Theory, Non-Hermitian Lagrangians, Schwinger-Dyson Equations, Asymptotic Behavior

Cite this paper

E. Rochev, V. 2016 Hermitian vs PT-Symmetric Scalar Yukawa Model. Journal of Modern Physics, 7, 899-907. doi: 10.4236-jmp.2016.79081.

Autor: Vladimir E. Rochev

Fuente: http://www.scirp.org/


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