Goldstone bosons in different PT-regimes of non-Hermitian scalar quantum field theories

DOI10.1016/j.nuclphysb.2019.114834zbMath1472.81143arXiv1906.05738OpenAlexW2950402400WikidataQ126836786 ScholiaQ126836786MaRDI QIDQ2230088

Andreas Fring, Takanobu Taira

Publication date: 17 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05738

Mathematics Subject Classification ID

Model quantum field theories (81T10) Symmetry breaking in quantum theory (81R40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Bosonic systems in quantum theory (81V73)

Related Items (9)

't Hooft-Polyakov monopoles in non-Hermitian quantum field theory ⋮ Complex Langevin dynamics and supersymmetric quantum mechanics ⋮ Conformal bridge transformation, \( \mathcal{PT}\)- and supersymmetry ⋮ Schwinger-Dyson equations and mass generation for an axion theory with a \(\mathcal{PT}\) symmetric Yukawa fermion interaction ⋮ A fully solvable model of fermionic interaction in \(3 + 1d\) ⋮ Breakdown of the Meissner effect at the zero exceptional point in non-Hermitian two-band BCS model ⋮ Complex BPS skyrmions with real energy ⋮ Time-dependent \(\mathcal{C}\)-operators as Lewis-Riesenfeld invariants in non-Hermitian theories ⋮ Complex BPS solitons with real energies from duality

Cites Work

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• Nonunique \(C\) operator \(PT\) in quantum mechanics
• The Yukawa model in one space-one time dimensions
• Complex Extension of Quantum Mechanics
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• Thermodynamic Behavior of an Ideal Ferromagnet
• Normal Form of Antiunitary Operators
• Field theories with « Superconductor » solutions
• A nonunitary version of massless quantum electrodynamics possessing a critical point
• 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
• Antilinearity rather than Hermiticity as a guiding principle for quantum theory
• Foldy–Wouthuysen transformation for non-Hermitian Hamiltonians
• PT Symmetry

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