Physics NotePublished
Centrally Extended Residual Symmetries in the Presence of a Constant EM Background
F. Toppan
2001
Publication details
- Authors
- F. Toppan
- Type
- Physics Note
- Status
- Published
- Publication date
- 2001
- Description
- In this talk I discuss the properties of the symmetry algebra (denominated "residual symmetry") of a QFT in the presence of a non-vanishing, constant, electro-magnetic background. It is shown that this problem can be formulated and solved on a purely Lie-algebraic ground (i.e. it is model-independent). One of its simplest consequences consists in recovering the central extension in the commutator of the translations, associated with the abelian U(1) charge. For illustrative purposes the case of the (2+1)-dimensional Poincaré invariant QFTs coupled with a constant external EM background is discussed in detail. The deformed (and gauge-fixing dependent) surviving Poincaré generators are explicitly computed. In the generic case the residual symmetry algebra is isomorphic to <math> u(1) \oplus P_c(2)\,\!</math>, where <math> P_c(2)\,\!</math> is the centrally extended 2-dimensional Poincaré algebra.The connection with the Noncommutative Field Theories is briefly mentioned. A short discussion concerning the possible physical implications and the outline of the forthcoming research is given.
- Year
- 2001
- Number
- CBPF-NF-057/01
- Linked to a thesis
- No
- Linked to a grant
- No