CPT Student Seminar: Galilean Hydrodynamics Through Null Reduction
12 October 2015 17:00 in OC218
The importance of non-relativistic systems in physics cannot be overstated. Although the universe we live in is relativistic, at sufficiently low 'day to day' energy scales, it is governed by non-relativistic laws. Non-relativistic (or more precisely Galilean) physics has been a topic of interest for centuries, and its implications have been well studied and tested. But in last century there has been an exponential increase in our understanding of relativistic phenomenon. Hence it is important to ask if these new exotic relativistic phenomenon (like anomalies) leave any signature on the Galilean physics.
In this talk we will explore a systematic mechanism to translate relativistic theories to Galilean, hence allowing us to study the effect of various relativistic phenomenon on Galilean systems. Rather than the usual 'low velocity limit' this approach is based on 'null reduction' which maps a relativistic theory to a Galilean theory in one lower dimension. We will pay special attention to Galilean hydrodynamics, and construct a relativistic system which will give rise to the most generic Galilean fluid upon null reduction. We will also discuss the shortcomings of the most obvious candidate for such a relativistic system - a relativistic fluid, and explain why its null reduction fails to give the most generic Galilean fluid.
The discussion will be based on an extremely simple case of chargeless non-anomalous Galilean fluid. If time permits, we might comment on charged anomalous Galilean fluids as well. The talk is based on recent papers: arXiv:1505.05677, arXiv:1509.04718, arXiv:1509.05777.
A copy of the slides for this talk can be found at the above link.
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A gathering of mathematicians from the CPT group with physicists from IPPP, we meet to discuss our work in a relaxed and friendly environment.
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