2015/03/31 by Chris L. Lin, Carlos Ordońẽz, Carlos. R. Ordonez · 1 citation
Mathematics · Physics and Astronomy · #Anomaly (physics) #Beta function (physics) #Class (philosophy) #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Function (biology) #Geometry #Mathematical physics #Mathematics #Path (computing) #Path integral formulation #Physics #Quantum #Quantum and electron transport phenomena #Quantum field theory #Quantum gravity #Quantum mechanics #Quantum, superfluid, helium dynamics #Scale (ratio) #Scaling #Statistical physics #Theoretical physics #Thermal quantum field theory #cond-mat.quant-gas #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevd.91.085023
published as Phys. Rev. D 91, 085023 (2015) · 8 pages (this version is the published version)
openalex publication_date 2015/04/16 · arxiv created 2015/04/21 · arxiv updated 2015/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we calculate the scale anomaly for a quantum field theoretic 2D-nonrelativistic Bose gas with contact interactions using Fujikawa's method, both in vacuum and in many-body systems. The use of path integrals for these problems is novel and motivated by a recently developed path-integral framework for addressing questions about scaling in these systems. A natural class of regulators is found that produces the correct value of the anomaly traditionally calculated via other methods, e.g., diagrammatically via the \ensuremathβ function.