A new picture on (3+1)D topological mass mechanism
O.S. Ventura (1,2,3), R. L. P. G. Amaral (4), J. V. Costa (4), L. O., Buffon (2,5), V. E. R. Lemes (6) ((1) Centro Federal de Educa\c{c}\~ao, Tecnol\'ogica do Esp\'irito Santo, Vit\'oria-ES, Brazil; (2) Centro, Universit\'ario de Vila Velha, Vila Velha-ES, Brazil; (3) Uniest,
TL;DR
This paper establishes new mappings between Cremmer-Sherk and pure BF models in 4D, revealing their equivalence through iterative and exact procedures, with implications for topological mass mechanisms in various dimensions.
Contribution
It introduces novel iterative and exact mappings between different topological field models, enhancing understanding of their equivalence and mass generation mechanisms.
Findings
Mappings between Cremmer-Sherk and BF models established
Equivalence shown via iterative and correlation function methods
Extensions discussed in 3D and 5D contexts
Abstract
We present a class of mappings between the fields of the Cremmer-Sherk and pure BF models in 4D. These mappings are established by two distinct procedures. First a mapping of their actions is produced iteratively resulting in an expansion of the fields of one model in terms of progressively higher derivatives of the other model fields. Secondly an exact mapping is introduced by mapping their quantum correlation functions. The equivalence of both procedures is shown by resorting to the invariance under field scale transformations of the topological action. Related equivalences in 5D and 3D are discussed. A cohomological argument is presented to provide consistency of the iterative mapping.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.