In the trapped unitary Fermi gas an odd particle number produces an edge-localized quasiparticle whose energy contribution scales as Q to the power 1/9.
SCHR\"Odinger Invariance and Strongly Anisotropic Critical Systems
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The extension of strongly anisotropic or dynamical scaling to local scale invariance is investigated. For the special case of an anisotropy or dynamical exponent $\theta=z=2$, the group of local scale transformation considered is the Schr\"odinger group, which can be obtained as the non-relativistic limit of the conformal group. The requirement of Schr\"odinger invariance determines the two-point function in the bulk and reduces the three-point function to a scaling form of a single variable. Scaling forms are also derived for the two-point function close to a free surface which can be either space-like or time-like. These results are reproduced in several exactly solvable statistical systems, namely the kinetic Ising model with Glauber dynamics, lattice diffusion, Lifshitz points in the spherical model and critical dynamics of the spherical model with a non-conserved order parameter. For generic values of $\theta$, evidence from higher order Lifshitz points in the spherical model and from directed percolation suggests a simple scaling form of the two-point function.
verdicts
UNVERDICTED 4representative citing papers
Derives generic forms of single- and two-time correlators in z=2 phase-ordering kinetics from covariance under a new non-equilibrium Schrödinger algebra representation.
Scaling functions for correlators in non-equilibrium critical dynamics with z=2 are predicted from a new time-dependent non-equilibrium Schrödinger algebra representation and confirmed in exactly solvable ageing models.
Observables in Schrödinger CFTs have zero mass and transform in staggered pyramid representations built from alien operators, generalizing exceptional symmetry conservation laws.
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The odd fermion at the edge: odd-even staggering in the trapped, unitary Fermi gas
In the trapped unitary Fermi gas an odd particle number produces an edge-localized quasiparticle whose energy contribution scales as Q to the power 1/9.
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Observables in Schr\"odinger CFTs: How Aliens Built the Pyramids
Observables in Schrödinger CFTs have zero mass and transform in staggered pyramid representations built from alien operators, generalizing exceptional symmetry conservation laws.