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Qinghai Wang

Washington University in St. Louis
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PT-Symmetric Quantum Field Theory and a New interpretation of the
Lee Model

In this talk I will review non-Hermitian PT-symmetric quantum
mechanics and quantum field theory. To define a proper quantum theory
with unitary time evolution and positive-definite norm, it is
necessary to introduce a new symmetry operator called C. The
calculation of the C operator is the central task to construct
PT-symmetric quantum field theory. I will use PT-symmetric i\phi^3
as an example to demonstrate this calculation. As an application, I
will then re-investigate the Lee model using this new idea. I will
show that with this PT-symmetric interpretation, the ghost state that
has haunted the Lee model for 50 years does not exist. I will also
show that the quantum-field-theoretic C operator is actually a
generalization of the intrinsic parity operator.

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