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- Title
New conformal field theories by gauging electric and magnetic currents.
- Authors
Nakayama, Yu
- Abstract
Old folklore says that there is no nontrivial renormalization group fixed point with U (1) gauge symmetry in four dimensions, but it can be circumvented by the existence of magnetic monopoles. We propose to construct (potentially infinitely many) novel types of field theories with U (1) gauge symmetry by gauging U (1) × U (1) global symmetry electrically and magnetically. If the construction is consistent, the resulting theory will most likely possess a nontrivial renormalization group fixed point for the U (1) gauge coupling constant and it will be a nontrivial conformal field theory without the U (1) × U (1) global symmetry in the infrared upon tunings of other relevant deformations. If the construction is CP-violating, a renormalization of the θ -parameter is accompanied.
- Subjects
CONFORMAL field theory; GAUGE symmetries; ELECTRIC currents; RENORMALIZATION group; MAGNETIC monopoles; RENORMALIZATION (Physics); CP violation; GAUGE field theory
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2022, Vol 37, Issue 35, p1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X22502281