PT-symmetric interpretation of unstable effective potentials

Abstract

The conventional interpretation of the one-loop effective potentials of the Higgs field in the Standard Model and the gravitino condensate in dynamically broken supergravity is that these theories are unstable at large field values. A PT-symmetric reinterpretation of these models at a quantum-mechanical level eliminates these instabilities and suggests that these instabilities may also be tamed at the quantum-field-theory level.

5 pages, 7 figures

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• No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
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• Inflation via Gravitino Condensation in Dynamically Broken Supergravity
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Cited by in corpus (15)

• Symmetries and conservation laws in non-Hermitian field theories
• Spontaneous symmetry breaking and the Goldstone theorem in non-Hermitian field theories
• Gauge invariance and the Englert-Brout-Higgs mechanism in non-Hermitian field theories
• $\mathcal{P}\mathcal{T}$-symmetric $-g{\phi }^4$ theory
• Towards perturbative renormalization of ${\varphi }^2(i\varphi {)}^{\epsilon }$ quantum field theory
• Direct Higgs-gravity interaction and stability of our Universe
• $\mathcal{P}\mathcal{T}$-symmetric quantum field theory on the noncommutative spacetime
• Schwinger-Dyson equations and mass generation for an axion theory with a PT symmetric Yukawa fermion interaction
• Non-Hermitian Yukawa interactions of fermions with axions: potential microscopic origin and dynamical mass generation
• Renormalisation group flows connecting a $4-\epsilon$ dimensional Hermitian field theory to a $\mathcal{P}\mathcal{T}$-symmetric theory for a fermion coupled to an axion
• Unitarity through PT symmetry in Quantum Quadratic Gravity
• Scattering in pseudo-Hermitian quantum field theory and causality violation
• Scattering off PT-symmetric upside-down potentials
• Analytic approximation for eigenvalues of a class of $\mathcal{P}\mathcal{T}$ symmetric Hamiltonians
• Piecewise linear potentials for false vacuum decay and negative modes