220 research outputs found
A superspace embedding of the Wess-Zumino model
We embed the Wess-Zumino (WZ) model in a wider superspace than the one
described by chiral and anti-chiral superfields.Comment: 5 pages, Revtex (multicol
Reducible systems and embedding procedures in the canonical formalism
We propose a systematic method of dealing with the canonical constrained
structure of reducible systems in the Dirac and symplectic approaches which
involves an enlargement of phase and configuration spaces, respectively. It is
not necessary, as in the Dirac approach, to isolate the independent subset of
constraints or to introduce, as in the symplectic analysis, a series of
lagrange multipliers-for-lagrange multipiers. This analysis illuminates the
close connection between the Dirac and symplectic approaches of treating
reducible theories, which is otherwise lacking. The example of p-form gauge
fields (p=2,3) is analyzed in details.Comment: Latex 23 pages, some corrections and improvements in the text. To
appear in Annals of Physic
Axial and gauge anomalies in a theory with one and two-form gauge fields
We study the problem of axial and gauge anomalies in a reducible theory
involving vector and tensor gauge fields coupled in a topological way. We
consider that vector and axial fermionic currents couple with the tensor field
in the same topological manner as the vector gauge one. This kind of coupling
leads to an anomalous axial current, contrarily to the results found in
literature involving other tensor couplings, where no anomaly is obtained.Comment: 9 pages, Latex - To appear in Phys. Lett.
BV QUANTIZATION OF A VECTOR-TENSOR GAUGE THEORY WITH TOPOLOGICAL COUPLING
We use the BV quantization method for a theory with coupled tensor and vector
gauge fields through a topological term. We consider in details the
reducibility of the tensorial sector as well as the appearance of a mass term
in the effective vectorial theory .Comment: 10 pages, Late
Compactification of gauge theories and the gauge invariance of massive modes
We study the gauge invariance of the massive modes in the compactification of
gauge theories from D=5 to D=4. We deal with Abelian gauge theories of rank one
and two, and with non-Abelian ones of rank one. We show that St\"uckelberg
fields naturally appear in the compactification mechanism, contrarily to what
usually occurs in literature where they are introduced by hand, as a trick, to
render gauge invariance for massive theories. We also show that in the
non-Abelian case they appear in a very different way when compared with their
usual implementation in the non-Abelian Proca model.Comment: 5 pages, Revtex (multicol), minor correction
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