Imposing zero total momentum enables perturbative construction of the quantum ground state for solitons despite zero modes from broken translation invariance.
Quantum-classical correspondence via coherent state in integrable field theory
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abstract
We consider the problem of quantum-classical correspondence in integrable field theories. We propose a method to construct a field theoretical coherent state, in which the expectation value of the quantum field operator exactly coincides with the classical soliton. We also discuss the time evolution of this quantum state and the instability due to the nonlinearity.
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hep-th 1years
2020 1verdicts
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Constructing Quantum Soliton States Despite Zero Modes
Imposing zero total momentum enables perturbative construction of the quantum ground state for solitons despite zero modes from broken translation invariance.