Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-03-06
Phys.Rev.D76:025003,2007
Physics
High Energy Physics
High Energy Physics - Theory
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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