Forms on Vector Bundles Over Hyperbolic Manifolds and the Conformal Anomaly
Bytsenko, A. A. ; Elizalde, E. ; Ulhoa, R. A.
arXiv, 0307021 / Harvested from arXiv
Text on arXiv
We study gauge theories based on abelian $p-$forms on real compact hyperbolic manifolds. An explicit formula for the conformal anomaly corresponding to skew--symmetric tensor fields is obtained, by using zeta--function regularization and the trace tensor kernel formula. Explicit exact and numerical values of the anomaly for $p-$forms of order up to $p=4$ in spaces of dimension up to $n=10$ are then calculated.
Publié le : 2003-07-09
Classification:  Mathematical Physics,  Mathematics - Functional Analysis,  81T50, 14D21,58A10 
@article{0307021,
     author = {Bytsenko, A. A. and Elizalde, E. and Ulhoa, R. A.},
     title = {Forms on Vector Bundles Over Hyperbolic Manifolds and the Conformal
  Anomaly},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0307021}
}

Bytsenko, A. A.; Elizalde, E.; Ulhoa, R. A. Forms on Vector Bundles Over Hyperbolic Manifolds and the Conformal
  Anomaly. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0307021/