Matthew Elliot-Ripley
Phases and approximations of baryonic popcorn in a low-dimensional analogue of holographic QCD
Elliot-Ripley, Matthew
Authors
Abstract
The Sakai–Sugimoto model is the most pre-eminent model of holographic QCD, in which baryons correspond to topological solitons in a five-dimensional bulk spacetime. Recently it has been shown that a single soliton in this model can be well approximated by a flat-space self-dual Yang–Mills instanton with a small size, although studies of multi-solitons and solitons at finite density are currently beyond numerical computations. A lower-dimensional analogue of the model has also been studied in which the Sakai–Sugimoto soliton is replaced by a baby Skyrmion in three spacetime dimensions with a warped metric. The lower dimensionality of this model means that full numerical field calculations are possible, and static multi-solitons and solitons at finite density were both investigated, in particular the baryonic popcorn phase transitions at high densities. Here we present and investigate an alternative lower-dimensional analogue of the Sakai–Sugimoto model in which the Sakai–Sugimoto soliton is replaced by an O(3)-sigma model instanton in a warped three-dimensional spacetime stabilized by a massive vector meson. A more detailed range of baryonic popcorn phase transitions are found, and the low-dimensional model is used as a testing ground to check the validity of common approximations made in the full five-dimensional model, namely approximating fields using their flat-space equations of motion, and performing a leading order expansion in the metric.
Citation
Elliot-Ripley, M. (2015). Phases and approximations of baryonic popcorn in a low-dimensional analogue of holographic QCD. Journal of Physics A: Mathematical and Theoretical, 48(29), https://doi.org/10.1088/1751-8113/48/29/295402
Journal Article Type | Article |
---|---|
Acceptance Date | Jun 9, 2015 |
Publication Date | Jul 24, 2015 |
Deposit Date | Jul 23, 2015 |
Publicly Available Date | Jul 3, 2016 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Print ISSN | 1751-8113 |
Electronic ISSN | 1751-8121 |
Publisher | IOP Publishing |
Peer Reviewed | Peer Reviewed |
Volume | 48 |
Issue | 29 |
DOI | https://doi.org/10.1088/1751-8113/48/29/295402 |
Related Public URLs | http://arxiv.org/abs/1503.08755 |
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