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Explore the intersection of hydrodynamics and effective field theory in this special physics seminar by Andrea Cappelli from INFN Florence. Discover how hydrodynamics can be viewed as a bosonic effective field theory, with particular focus on Euler perfect fluids and their Lagrangian formulation. Learn about the identical relationship between this formulation and known field-theory bosonization in 1+1 dimensions, and understand how this correspondence enables the introduction of chiral anomalies in hydrodynamics for properly describing fermionic fluids. Examine the application of anomaly inflow from topological gauge theory in one extra dimension, following methods used in studying topological phases of matter, and see how this approach suggests appropriate fluid variables. Delve into the extension of this analysis to 3+1 dimensions, resulting in an effective field theory/hydrodynamics framework capable of elucidating axial, vector, and axial-gravitational anomalies of four-dimensional Dirac fermions through bosonic fields.
Syllabus
Special Seminar - Hydrodynamics with anomalies and effective field theory
Taught by
NYU Physics