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
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Approaches to a non-abelian antisymmetric tensor gauge field theory. / Nepomechie, Rafael.
In: Nuclear Physics B, Vol. 212, No. 2, 14.02.1983, p. 301-320.Research output: Contribution to journal › Article
}
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 -