Higher loop \(\beta\) function for non-Hermitian PT symmetric \(\iota g\phi^3\) theory. (English) Zbl 1457.81066
Summary: We investigate Non-Hermitian quantum field theoretic model with \(\iota g\phi^3\) interaction in 6-dimension. Such a model is PT-symmetric for the pseudo scalar field \(\phi\). We analytically calculate the 2-loop \(\beta\) function and analyze the system using renormalization group technique. Behavior of the system is studied near the different fixed points. Unlike \(g\phi^3\) theory in 6-dimension \(\iota g\phi^3\) theory develops a new non trivial fixed point which is energetically stable. Existence of new non-trivial UV fixed points is also shown for three and four loop \(\beta\)-functions.
MSC:
| 81T10 | Model quantum field theories |
| 81T17 | Renormalization group methods applied to problems in quantum field theory |
| 83E15 | Kaluza-Klein and other higher-dimensional theories |
Keywords:
non-Hermitian PT symmetric scalar field theory; renormalization group analysis using higher loop calculations; calculation of \(\beta\) function in higher loops; existence of new non-trivial energetically stable UV fixed pointReferences:
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