The effective potential for the PT-symmetric and non-Hermitian \((-g\phi^4)\) field theoretic model

DOI10.1007/s10582-006-0398-6zbMath1117.81099OpenAlexW1994202474MaRDI QIDQ871904

Abouzeid M. Shalaby

Publication date: 27 March 2007

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10582-006-0398-6

zbMATH Keywords

effective potentialnon-Hermitian modelsoscillator representation methodPT-symmetric theories

Mathematics Subject Classification ID

Model quantum field theories (81T10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (1)

Non-perturbative calculations for the effective potential of the PT symmetric and non-Hermitian (\(-g\varphi ^{4}\)) field theoretical model

Cites Work

• Variational ansatz for PT-symmetric quantum mechanics
• Spectral analysis of the complex cubic oscillator
• Complex WKB analysis of energy-level degeneracies of non-Hermitian Hamiltonians
• Conjecture on the interlacing of zeros in complex Sturm–Liouville problems
• Numerical evidence that the perturbation expansion for a non-Hermitian PT-symmetric Hamiltonian is Stieltjes
• -symmetric versus Hermitian formulations of quantum mechanics
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Large-order perturbation theory for a non-Hermitian 𝓟𝓣-symmetric Hamiltonian
• Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant
• 𝓟𝓣-symmetric quantum mechanics
• Quantum complex Hénon-Heiles potentials
• Bound states of non-Hermitian quantum field theories

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