Interacting Fractons in 2+1-Dimensional Quantum Field Theory

Abstract

We analyze, in perturbation theory, a theory of weakly interacting fractons and non-relativistic fermions in a 2+1 dimensional Quantum Field Theory. In particular we compute the 1-loop corrections to the self energies and interaction vertex, and calculate the associated 1-loop Renormalization Group flows of the coupling constants. Surprisingly, we find that the fracton-fermion coupling does not flow due to an emergent coordinate-dependent symmetry of the effective Lagrangian, making this model a well-defined quantum field theory. We provide additional discussions on the regularization and renormalization of interacting fractonic theories, as well as both qualitative and quantitative remarks regarding the theory at finite temperature and finite chemical potential.

23 pages, 6 figures. V3: Correction: The scalar-self energy vanishes, but conclusions unchanged

References in corpus (1)

• A controlled expansion for certain non-Fermi liquid metals

Cited by in corpus (5)

• Global Dipole Symmetry, Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
• Gravity as a gapless phase and biform symmetries
• Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries
• Fractons, non-Riemannian Geometry, and Double Field Theory
• Scalar, fermionic and supersymmetric field theories with subsystem symmetries in d+1 dimensions