PT-Symmetric Quantum Field Theory
نویسندگان
چکیده
منابع مشابه
PT -Symmetric Quantum Field Theory
A new approach to quantum theories was proposed in 1996 in the context of the so-called δ-expansion [1]. The idea was to study non-Hermitian theories which nevertheless possessed positive spectra. Parity symmetry P was broken in these theories, as well as time-reversal invariance T . However, PT symmetry was unbroken. In early papers we examined scalar field theories with interaction [1] Lint =...
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It is shown that a version of PT -symmetric electrodynamics based on an axial-vector current coupling massless fermions to the photon possesses anomalies and so is rendered nonrenormalizable. An alternative theory is proposed based on the conventional vector current constructed from massive Dirac fields, but in which the PT transformation properties of electromagnetic fields are reversed. Such ...
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One of the simplest examples of a PT -symmetric quantum system is the scaling Yang-Lee model, a quantum field theory with cubic interaction and purely imaginary coupling. We give a historical review of some facts about this model in d ≤ 2 dimensions, from its original definition in connection with phase transitions in the Ising model and its relevance to polymer physics, to the rôle it has play...
متن کاملPT - symmetric quantum field theories and the Langevin equation
Many non-Hermitian but PT -symmetric theories are known to have a real, positive spectrum, and for quantum-mechanical versions of these theories, there exists a consistent probabilistic interpretation. Since the action is complex for these theories, Monte Carlo methods do not apply. In this paper a field-theoretic method for numerical simulations of PT -symmetric Hamiltonians is presented. The ...
متن کاملNumerical simulations of PT-symmetric quantum field theories
Many non-Hermitian but PT-symmetric theories are known to have a real positive spectrum. Since the action is complex for these theories, Monte Carlo methods do not apply. In this paper the first field-theoretic method for numerical simulations of PT-symmetric Hamiltonians is presented. The method is the complex Langevin equation, which was used previously to study complex Hamiltonians in statis...
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ژورنال
عنوان ژورنال: Czechoslovak Journal of Physics
سال: 2003
ISSN: 0011-4626
DOI: 10.1023/b:cjop.0000010535.56276.7e