Dual oscillators and Quantum Pendulums: spectrum and correlators

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, substantial changes: calculation of correlators added

Scientific paper

10.1103/PhysRevD.76.025003

We outline the nonlinear transformation in the path integral representation for partition function of O(N) symmetric oscillator systems bringing their duality to certain one-dimensional oscillators with unstable potential shapes. This duality transformation realizes the equivalence between spectra of a Hermitian and a non-Hermitian Hamiltonians. It is exploited to calculate exactly the spectra of quantum rotators . The zero-temperature limit is considered and the dual representation of n-point correlators of coordinate operators is obtained.

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