5 papers
Effective theories for many-body systems with nonuniform symmetries
Aleksander GÅódkowski
The low-energy dynamics of many-body systems is governed by gapless modes whose properties are dictated by symmetry. Their existence follows from Goldstone's theorem, while their e…
Geometric pairing of Nambu--Goldstone modes in spacetime symmetry breaking
Aleksander GÅódkowski
We identify a geometric pairing mechanism in systems with spontaneously broken spacetime symmetries, whereby pairs of Goldstone fields become canonically conjugate and hybridize in…
A complex scalar field theory for charged fluids, superfluids, and fracton fluids
Aleksander GÅódkowski
We propose a field-theoretic framework for ideal hydrodynamics of charged relativistic fluids formulated in terms of a complex scalar field defined on a spacelike hypersurface como…
Effective field theory for the superfluid vortex lattice from coset construction
Aleksander GÅódkowski, Sergej Moroz, Francisco Peña-BenÃtez +1
Guided by symmetry principles, we construct an effective field theory that captures the long-wavelength dynamics of two-dimensional vortex crystals observed in rotating Bose-Einste…
Quadrupole gauge theory: anti-Higgs mechanism and elastic dual
Aleksander GÅódkowski, PaweÅ Matus, Francisco Peña-BenÃtez +1
Motivated by the duality between elasticity and fracton gauge theory, we study an extension of the gauge group that includes the quadrupole moment. Remarkably, we find that spontan…