### 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) |
---|---|

Pages (from-to) | 301-320 |

Number of pages | 20 |

Journal | Nuclear Physics B |

Volume | 212 |

Issue number | 2 |

DOIs | |

State | Published - Feb 14 1983 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Approaches to a non-abelian antisymmetric tensor gauge field theory.** / Nepomechie, Rafael.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 212, no. 2, pp. 301-320. https://doi.org/10.1016/0550-3213(83)90306-1

}

TY - JOUR

T1 - Approaches to a non-abelian antisymmetric tensor gauge field theory

AU - Nepomechie, Rafael

PY - 1983/2/14

Y1 - 1983/2/14

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001318980&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001318980&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(83)90306-1

DO - 10.1016/0550-3213(83)90306-1

M3 - Article

AN - SCOPUS:0001318980

VL - 212

SP - 301

EP - 320

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 2

ER -