7,090 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
Failure of the work-Hamiltonian connection for free energy calculations
Extensions of statistical mechanics are routinely being used to infer free
energies from the work performed over single-molecule nonequilibrium
trajectories. A key element of this approach is the ubiquitous expression
dW/dt=\partial H(x,t)/ \partial t which connects the microscopic work W
performed by a time-dependent force on the coordinate x with the corresponding
Hamiltonian H(x,t) at time t. Here we show that this connection, as pivotal as
it is, cannot be used to estimate free energy changes. We discuss the
implications of this result for single-molecule experiments and atomistic
molecular simulations and point out possible avenues to overcome these
limitations
Building analytical three-field cosmological models
A difficult task to deal with is the analytical treatment of models composed
by three real scalar fields, once their equations of motion are in general
coupled and hard to be integrated. In order to overcome this problem we
introduce a methodology to construct three-field models based on the so-called
"extension method". The fundamental idea of the procedure is to combine three
one-field systems in a non-trivial way, to construct an effective three scalar
field model. An interesting scenario where the method can be implemented is
within inflationary models, where the Einstein-Hilbert Lagrangian is coupled
with the scalar field Lagrangian. We exemplify how a new model constructed from
our method can lead to non-trivial behaviors for cosmological parameters.Comment: 11 pages, and 3 figures, updated version published in EPJ
- …