Exploiting structural redundancy in q-space for improved EAP reconstruction from highly undersampled (k, q)-space in DMRI
- Award ID(s):
- 1724174
- PAR ID:
- 10105694
- Date Published:
- Journal Name:
- Medical Image Analysis
- Volume:
- 54
- Issue:
- C
- ISSN:
- 1361-8415
- Page Range / eLocation ID:
- 122 to 137
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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A bstract Non-topological solitons such as Q-balls and Q-shells have been studied for scalar fields invariant under global and gauged U(1) symmetries. We generalize this frame-work to include a Proca mass for the gauge boson, which can arise either from spontaneous symmetry breaking or via the Stückelberg mechanism. A heavy (light) gauge boson leads to solitons reminiscent of the global (gauged) case, but for intermediate values these Proca solitons exhibit completely novel features such as disconnected regions of viable parameter space and Q-shells with unbounded radius. We provide numerical solutions and excellent analytic approximations for both Proca Q-balls and Q-shells. These allow us to not only demonstrate the novel features numerically, but also understand and predict their origin analytically.more » « less
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