Covert Symmetry Breaking

Autor: Erickson, C. W., Harrold, A. D., Leung, Rahim, Stelle, K. S.
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP10(2020)157
Popis: Reduction from a higher-dimensional to a lower-dimensional field theory can display special features when the zero-level ground state has nontrivial dependence on the reduction coordinates. In particular, a delayed `covert' form of spontaneous symmetry breaking can occur, revealing itself only at fourth order in the lower-dimensional effective field theory action. This phenomenon is explored in a simple model of $(d+1)$-dimensional scalar QED with one dimension restricted to an interval with Dirichlet/Robin boundary conditions on opposing ends. This produces an effective $d$-dimensional theory with Maxwellian dynamics at the free theory level, but with unusual symmetry breaking appearing in the quartic vector-scalar interaction terms. This simple model is chosen to illuminate the mechanism of effects which are also noted in gravitational braneworld scenarios.
Comment: 20+6 pages, 1 figure
Databáze: arXiv