16377160
Topological sectors and gauge invariance in massive vector-tensor theories in D≥4
Abstract A family of locally equivalent models is considered. They can be taken as a generalization to d + 1 dimensions of the Topological Massive and “Self-dual” models in 2+1 dimensions. The corresponding 3+1 models are analized in detail. It is shown that one model can be seen as a gauge fixed version of the other, and their space of classical solutions differs in a topological sector represented by the classical solutions of pure BF model. The topological sector can be gauged out on cohomologically trivial base manifolds but on general settings it may be responsible of the difference in the long distance behaviour of the models. The presence of this topological sector appears explicitly in the partition function of the theories. The generalization of this models to higher dimensions is shown to be straightfoward.
118915291
Canonical equivalence between massive spin 1 theories
The model of Cremmer-Scherck and Proca are considered in dimensions greater than 3+1. It is obtained that the Proca model correspond to a gauged fixed version of the Cremmer-Scherck one, and we show their canonical equivalence.
10548982
A Geometric approach to massive p form duality
Massive theories of abelian p-forms are quantized in a generalized path-representation that leads to a description of the phase space in terms of a pair of dual non-local operators analogous to the Wilson Loop and the 't Hooft disorder operators. Special atention is devoted to the study of the duality between the Topologically Massive and the Self-Dual models in 2+1 dimensions. It is shown that these models share a geometric representation in which just one non local operator suffices to describe the observables.
118524195
Selfdual spin 2 in 2+1 dimensions revisited
Lagrangian constraints of the spin 2 selfdual theory in a 2+1 flat space-time are studied and the one degree of freedom reduced action is obtained. From this formulation, the quantum operator algebra is computed and the spin contribution on transformation generators is explored.
53942626
Interacting particles and strings in path and surface representations
Nonrelativistic charged particles and strings coupled with Abelian gauge fields are quantized in a geometric representation that generalizes the loop representation. We consider three models: the string in self-interaction through a Kalb-Ramond field in four dimensions, the topological interaction of two particles due to a BF term in $2+1$ dimensions, and the string-particle interaction mediated by a BF term in $3+1$ dimensions. In the first case one finds that a consistent ``surface representation'' can be built provided that the coupling constant is quantized. The geometrical setting that arises corresponds to a generalized picture of the lines of Faraday: quantum states are labeled by the shape of the string, from which emanate ``Faraday's surfaces.'' In the other models, the topological interaction can also be described by geometrical means. It is shown that the open-path (or open-surface) dependence carried by the wave functional in these models can be eliminated through a unitary transformation, except by the remaining dependence on the boundary of the path (or surface). This feature is closely related to the presence of anomalous statistics in the $2+1$ model, and to a generalized ``anyonic behavior'' of the string in the other case.
17444426
Topological sectors of spin 1 theories in (2+1)-dimensions
Abstract It is shown that the topological massive and “self-dual” theories, which are known to provide locally equivalent descriptions of spin 1 theories in 2+1 dimensions, have different global properties when formulated over topologically non-trivial regions of space-time. The partition function of these theories, when constructed on an arbitrary Riemannian manifold, differ by a topological factor, which is equal to the partition function of the pure Chern-Simons theory. This factor is related to the space of solutions of the field equations of the topological massive theory for which the connection is asymptotically flat but not gauge equivalent to zero. A new covariant, first order, gauge action, which generalizes the “self-dual” action, is then proposed. It is obtained by sewing local self-dual theories. Its global equivalence to the topological massive gauge theory is shown.
52268852
Vortex solutions of an Abelian Higgs model with visible and hidden sectors
A bstractWe study vortex solutions in a theory with dynamics governed by two weakly coupled Abelian Higgs models, describing a hidden sector and a visible sector. We analyze the radial dependence of the axially symmetric solutions constructed numerically and discuss the stability of vortex configurations for different values of the model parameters, studying in detail vortex decay into lower energy configurations. We find that even in a weak coupling regime vortex solutions strongly depend on the parameters of both the visible and hidden sectors. We also discuss on qualitative grounds possible implications of the existence of a hidden sector in connection with superconductivity and dark matter (dark strings).
119351968
CPT/Lorentz Invariance Violation and Quantum Field Theory
Departamento de Fisica, Universidad de Santiago de ChileCasilla 307, Santiago 2, ChileE-mail: fmendez@lauca.usach.clAnalogies between the noncommutative harmonic oscillator and noncommutative ﬁelds are ana-lyzed. Following this analogywe construct examples of quantum ﬁelds theories with explicit CPTand Lorentz symmetry breaking. Some applications to baryogenesis and neutrino oscillation arealso discussed.Fifth International Conference on Mathematical Methods in Physics — IC2006April 24-28 2006Centro Brasilerio de Pesquisas Fisicas, Rio de Janeiro, Brazil
118495032
SU(2) Kinetic Mixing Terms and Spontaneous Symmetry Breaking
The non-Abelian generalization of the Holdom model, i.e. a theory with two gauge fields coupled to the kinetic mixing term g tr(Fμν(A)Fμν(B)) is considered. Contrarily to the Abelian case, the group structure G×G is explicitly broken to G. For SU(2) this fact implies that the residual gauge symmetry as well as the Lorentz symmetry is spontaneously broken. We show that this mechanism provides masses for the involved particles. Also, the model presents instanton solutions with a redefined coupling constant.
118294407
Illuminating WISPs with Photons
Physics beyond the Standard Model naturally gives rise to very light and weakly interacting particles, dubbed WISPs (Weakly Interacting Slim Particles). A prime example is the axion, that has eluded experimental detection for more than thirty years. In this talk we will review some of the strongly motivated candidates for such particles, the observational hints for them and the present status of searches with photon regeneration experiments, as well as possible future improvements.
119352395
CPT / Lorentz invariance violation and neutrino oscillation
We analyze the consequences of violation of Lorentz and CPT invariance in the massless neutrino sector by deforming the canonical anti-commutation relations for the fields. We show that, for particular choices of the deformation, oscillation between massless neutrino species takes place when only Lorentz invariance is violated. On the other hand, if both Lorentz and CPT invariances are violated, we show that there is no oscillation between massless neutrino species. Comparing with the existing experimental data on neutrino oscillations, we obtain bounds on the parameter for Lorentz invariance violation.