Oscillators with imaginary coupling: Spectral functions in quantum mechanics and quantum field theory

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade do Estado do Rio de Janeiro (UERJ)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorMintz, Bruno W.-
Autor(es): dc.creatorPinheiro, Itai Y.-
Autor(es): dc.creatorAquino, Rui-
Data de aceite: dc.date.accessioned2025-08-21T15:11:23Z-
Data de disponibilização: dc.date.available2025-08-21T15:11:23Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2025-03-15-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1103/PhysRevD.111.065014-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/296860-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/296860-
Descrição: dc.descriptionThe axioms of quantum mechanics require that the Hamiltonian of any closed system is self-adjoint, so that energy levels are real and time evolution preserves probability. On the other hand, non-Hermitian Hamiltonians with PT symmetry can have both real spectra and unitary time evolution. In this paper, we study in detail a pair of quantum oscillators coupled by an imaginary bilinear term, both in quantum mechanics and in quantum field theory. We discuss explicitly how such Hamiltonians lead to perfectly sound physical theories with real spectra and unitary time evolution, in spite of their non-Hermiticity. We also analyze two-point correlation functions and their associated Källen-Lehmann representation. In particular, we discuss the intimate relation between positivity violation of the spectral functions and the nonobservability of operators in a given correlation function. Finally, we conjecture that positivity violation of some spectral functions of the theory could be a generic sign of the existence of complex pairs of energy eigenvalues (i.e., a PT-broken phase) somewhere in its parameter space.-
Descrição: dc.descriptionUERJ - Universidade Do Estado Do Rio de Janeiro Departamento de Física Teórica, Rua São Francisco Xavier 524, Maracanã-
Descrição: dc.descriptionICTP - South American Institute for Fundamental Research Instituto de Física Teórica da UNESP Universidade Estadual Paulista, Rua Doutor Bento Teobaldo Ferraz 271-
Descrição: dc.descriptionICTP - South American Institute for Fundamental Research Instituto de Física Teórica da UNESP Universidade Estadual Paulista, Rua Doutor Bento Teobaldo Ferraz 271-
Idioma: dc.languageen-
Relação: dc.relationPhysical Review D-
???dc.source???: dc.sourceScopus-
Título: dc.titleOscillators with imaginary coupling: Spectral functions in quantum mechanics and quantum field theory-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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