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Physics of crypto-Hermitian and/or cryptosupersymmetric field theories

Abstract : We discuss non-Hermitian field theories where the spectrum of the Hamiltonian involves only real energies. We make three observations. (i) The theories obtained from supersymmetric theories by nonanticommutative deformations belong in many cases to this class. (ii) When the deformation parameter is small, the deformed theory enjoys the same supersymmetry algebra as the undeformed one. Half of the supersymmetries are manifest and the existence of another half can be deduced from the structure of the spectrum. (iii) Generically, the conventionally defined S--matrix is not unitary for such theories.
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http://hal.in2p3.fr/in2p3-00184501
Contributor : Dominique Girod <>
Submitted on : Wednesday, October 31, 2007 - 10:53:41 AM
Last modification on : Thursday, February 7, 2019 - 2:56:17 PM

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A.V. Smilga. Physics of crypto-Hermitian and/or cryptosupersymmetric field theories. Physical Review D, American Physical Society, 2008, 77, pp.061701. ⟨10.1103/PhysRevD.77.061701⟩. ⟨in2p3-00184501⟩

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