Clifford algebraic approach to superfields and some consequences
Frames provided by Clifford algebras C/sub n/ are considered for the purpose of expanding a field multiplet (containing, possibly, both bosons and fermions). After giving a brief--mainly geometrical--description of Clifford algebras, the main tools of the present scheme are introduced: a scalar product in C/sub n/, a conjugation operation, and a ''Lorentz covariant derivative.'' It is described how these Clifford algebraic tools can be applied in order to obtain free massless Lagrangian expressions for a number of field theoretical models. It is also shown how gauge fields can arise within this scheme. It appears possible that the suggested formalism can lead naturally to spinor field operators as ''gauge fields.'' A specific example which can lead to a two- component ''gauge spinor'' is discussed. Possible lines of investigation which could solidify this potentially rich approach are suggested. (1 figure, 1 table) (auth)
- Research Organization:
- International Centre for Theoretical Physics, Trieste, Italy
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-33-008637
- OSTI ID:
- 4129811
- Journal Information:
- J. Math. Phys. (N.Y.), v. 16, no. 10, pp. 2123-2129, Journal Name: J. Math. Phys. (N.Y.), v. 16, no. 10, pp. 2123-2129; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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