## Abstract

Two distinct attempts at constructing a theory of non-abelian antisymmetric tensor gauge fields (ATGF's) are considered. First, a recently proposed geometry of abelian ATGF's is reviewed and then generalized to the non-abelian case. The resulting geometric action is non-local and is invariant under non-local gauge transformations; in the local limit the action describes free fields. Lattice actions for both the abelian and non-abelian ATGF theories are also presented. In the second approach, a lattice action for non-abelian ATGF's is constructed using a plaquette variables that carry four internal indices. The continuum limit is also a non-interacting theory.

Original language | English (US) |
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Pages (from-to) | 301-320 |

Number of pages | 20 |

Journal | Nuclear Physics, Section B |

Volume | 212 |

Issue number | 2 |

DOIs | |

State | Published - Feb 14 1983 |

Externally published | Yes |

## ASJC Scopus subject areas

- Nuclear and High Energy Physics