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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations Quantum State Preparation Representation

Infinitely many inequivalent field theories from one Lagrangian

arXiv
Authors: Carl M. Bender, Daniel W. Hook, Nick E. Mavromatos, Sarben Sarkar

Year

2014

Paper ID

48115

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

Logarithmic time-like Liouville quantum field theory has a generalized PT invariance, where T is the time-reversal operator and P stands for an S-duality reflection of the Liouville field φ. In Euclidean space the Lagrangian of such a theory, L=frac{1}{2}\(nablaφ\)2-igφexp(iaφ), is analyzed using the techniques of PT-symmetric quantum theory. It is shown that L defines an infinite number of unitarily inequivalent sectors of the theory labeled by the integer n. In one-dimensional space (quantum mechanics) the energy spectrum is calculated in the semiclassical limit and the mth energy level in the nth sector is given by Em,nsim(m+1/2)2a2/\(16n2\).

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  • Logarithmic time-like Liouville quantum field theory has a generalized PT invariance, where T is the time-reversal operator and P stands for an S-duality reflection of the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1408.2432 [2] arXiv https://arxiv.org/abs/1408.2432 [3] Publisher https://arxiv.org/abs/1408.2432

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