Manifestly Covariant Approach to BargmannWigner Fields (I): Generalized scalar products and Wigner states
Abstract
Manifestly covariant formalism for BargmannWigner fields is developed. It is shown that there exists some freedom in the choice of the form of the BargmannWigner scalar product: The general product depends implicitly on a family of worldvectors. The standard choice of the product corresponds to timelike and equal vectors which define a ``time" direction. The generalized form shows that formulas are simpler if one chooses {\it null\/} directions. This freedom is used to derive simple covariant formulas for momentumspace wave functions (generalized Wigner states) corresponding to arbitrary mass and spin and using eigenstates of the PauliLubanski vector. The eigenstates which make formulas the simplest correspond to projections of the PauliLubanski vector on {\it null\/} directions. The new formulation is an alternative to the standard helicity formalism.
 Publication:

arXiv eprints
 Pub Date:
 January 1996
 arXiv:
 arXiv:quantph/9601014
 Bibcode:
 1996quant.ph..1014C
 Keywords:

 Quantum Physics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 bibliography is extended