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- W1991389039 abstract "Some quantum field theories described by non-Hermitian Hamiltonians are investigated. It is shown that for the case of a free fermion field theory with a $gamma_5$ mass term the Hamiltonian is $cal PT$-symmetric. Depending on the mass parameter this symmetry may be either broken or unbroken. When the $cal PT$ symmetry is unbroken, the spectrum of the quantum field theory is real. For the $cal PT$-symmetric version of the massive Thirring model in two-dimensional space-time, which is dual to the $cal PT$-symmetric scalar Sine-Gordon model, an exact construction of the $cal C$ operator is given. It is shown that the $cal PT$-symmetric massive Thirring and Sine-Gordon models are equivalent to the conventional Hermitian massive Thirring and Sine-Gordon models with appropriately shifted masses." @default.
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- W1991389039 date "2005-10-01" @default.
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- W1991389039 title "Dual <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mi mathvariant=script>PT</mml:mi></mml:math>-symmetric quantum field theories" @default.
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- W1991389039 doi "https://doi.org/10.1016/j.physletb.2005.08.087" @default.
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