Physics NotePublished
Residual Symmetries in the Presence of an EM Background
H.L. Carrion; M. Rojas; F. Toppan
2002
Publication details
- Authors
- H.L. Carrion; M. Rojas; F. Toppan
- Type
- Physics Note
- Status
- Published
- Publication date
- 2002
- Description
- The symmetry algebra of a QFT in the presence of an external EM background (named ``residual symmetry") is investigated within a Lie-algebraic, model independent scheme. Some results previously encountered in the literature are here extended. In particular we compute the symmetry algebra for a constant EM background in D=3 and D=4 dimensions. In D= 3 dimensions the residual symmetry algebra is isomorphic to $u(1)\oplus {\cal P}_c(2)$, with ${\cal P}_c(2)$ the centrally extended 2-dimensional Poincar\'e algebra. In D=4 dimension the generic residual symmetry algebra is given by a seven-dimensional solvable Lie algebra which is explicitly computed. Residual symmetry algebras are also computed for specific non-constant EM backgrounds.
- Year
- 2002
- Number
- CBPF-NF-002/02
- Linked to a thesis
- No
- Linked to a grant
- No