A Quantum Field-Theoretical Perspective on Scale Anomalies in 1D systems with Three-Body Interactions

Abstract

We analyze, from a canonical quantum field theory perspective, the problem of one-dimensional particles with three-body attractive interactions, which was recently shown to exhibit a scale anomaly identical to that observed in two-dimensional systems with two-body interactions. We study in detail the properties of the scattering amplitude including both bound and scattering states, using cutoff and dimensional regularization, and clarify the connection between the scale anomaly derived from thermodynamics to the non-vanishing nonrelativistic trace of the energy-momentum tensor.

arXiv comment10 pages. Added references, affiliation, and minor changes

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Cited by in corpus (9)

• Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
• Aspects of Non-Relativistic Quantum Field Theories
• Cooper Triples in Attractive Three-Component Fermions: Implication for Hadron-Quark Crossover
• Three-body interaction near a narrow two-body zero crossing
• Virial coefficients of trapped and un-trapped three-component fermions with three-body forces in arbitrary spatial dimensions
• Virial Expansion for a Three-Component Fermi Gas in One Dimension: The Quantum Anomaly Correspondence
• Non-relativistic trace anomaly and equation of state in dense fermionic matter
• Quantum anomaly and thermodynamics of one-dimensional fermions with antisymmetric two-body interactions
• Quarkyonic matter and hadron-quark crossover from an ultracold atom perspective