2012/05/10 by T. E. Clark, T. E. CLARK, S. T. Love +1 · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Invariant (physics) #Kinetic term #Quantum many-body systems #Scale invariance #Scaling #Scaling dimension #hep-th
paper · pdf · doi:10.1142/s021773231250174x
published in Modern Physics Letters A 27(30), 1250174 (World Scientific) · 3 pages
arxiv created 2012/05/10 · openalex publication_date 2012/09/15 · arxiv updated 2012/09/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The relationship between local Weyl scaling invariant models and local dilatation invariant actions is critically scrutinized. While actions invariant under local Weyl scalings can be constructed in a straightforward manner, actions invariant under local dilatation transformations can only be achieved in a very restrictive case. The invariant couplings of matter fields to an Abelian vector field carrying a nontrivial scaling weight can be easily built, but an invariant Abelian vector kinetic term can only be realized when the local scale symmetry is spontaneously broken.