3,201 research outputs found
Non-Linear Supersymmetric -Models and their Gauging in the Atiyah-Ward Space-Time
We present a supersymmetric non-linear \s-model built up in the
superspace of Atiyah-Ward space-time. A manifold of the K\"ahler type comes out
that is restricted by a particular decomposition of the K\"ahler potential. The
gauging of the \s-model isometries is also accomplished in superspace.Comment: 15 pages, Latex, no figure
BRS Cohomology of Zero Curvature Systems II. The Noncomplete Ladder Case
The Yang-Mills type theories and their BRS cohomology are analysed within the
zero curvature formalism.Comment: 14 pages, latex, no figures, latex improve
Algebraic Characterization of Vector Supersymmetry in Topological Field Theories
An algebraic cohomological characterization of a class of linearly broken
Ward identities is provided. The examples of the topological vector
supersymmetry and of the Landau ghost equation are discussed in detail. The
existence of such a linearly broken Ward identities turns out to be related to
BRST exact antifield dependent cocycles with negative ghost number.Comment: 30 pages, latex2e file, subm. to Journ. of Math. Phy
On the Renormalizability of Noncommutative U(1) Gauge Theory - an Algebraic Approach
We investigate the quantum effects of the nonlocal gauge invariant operator
in the
noncommutative U(1) action and its consequences to the infrared sector of the
theory. Nonlocal operators of such kind were proposed to solve the infrared
problem of the noncommutative gauge theories evading the questions on the
explicit breaking of the Lorentz invariance. More recently, a first step in the
localization of this operator was accomplished by means of the introduction of
an extra tensorial matter field, and the first loop analysis was carried out
. We will complete this localization
avoiding the introduction of new degrees of freedom beyond those of the
original action by using only BRST doublets. This will allow us to make a
complete BRST algebraic study of the renormalizability of the theory, following
Zwanziger's method of localization of nonlocal operators in QFT.Comment: standard Latex no figures, version2 accepted in J. Phys A: Math Theo
On NCQFT and dimensionless insertions
In these notes, we aim at a precise definition of the tree level action for
the noncommutative scalar and gauge field theories on four-dimensional
canonically deformed Euclidean space. As tools to achieve this goal we employ
power counting and normalization conditions.Comment: 10 page
- …