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A<sc>bstract</sc> We employ semiclassical quantization to calculate spectrum of quantum KdV charges in the limit of large central chargec. Classically, KdV chargesQ2n−1generate completely integrable dynamics on the co-adjoint orbit of the Virasoro algebra. They can be expressed in terms of action variablesIk, e.g. as a power series expansion. Quantum-mechanically this series becomes the expansion in 1/c, while action variables become integer-valued quantum numbersni. Crucially, classical expression, which is homogeneous inIk, acquires quantum corrections that include terms of subleading powers innk. At first two non-trivial orders in 1/cexpansion these “quantum” terms can be fixed from the analytic form ofQ2n−1acting on the primary states. In this way we find explicit expression for the spectrum ofQ2n−1up to first three orders in 1/cexpansion. We apply this result to study thermal expectation values ofQ2n−1and free energy of the KdV Generalized Gibbs Ensemble.
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Excited Q-balls
Abstract Complex scalars inU(1)-symmetric potentials can form stable Q-balls, non-topological solitons that correspond to spherical bound-state solutions. If theU(1) charge of the Q-ball is large enough, it can support a tower of unstable radial excitations with increasing energy. Previous analyses of these radial excitations were confined to fixed parameters, leading to excited states with different chargesQ. In this work, we provide the first characterization of the radial excitations of solitons for fixed charge, providing the physical spectrum for such objects. We also show how to approximately describe these excited states analytically and predict their global properties such as radius, energy, and charge. This enables a complete characterization of the radial spectrum. We also comment on the decay channels of these excited states.
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- Award ID(s):
- 1915005
- PAR ID:
- 10370675
- Publisher / Repository:
- Springer Science + Business Media
- Date Published:
- Journal Name:
- The European Physical Journal C
- Volume:
- 82
- Issue:
- 9
- ISSN:
- 1434-6052
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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