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.
118459607
Quantization of Interacting Non-Relativistic Open Strings using Extended Objects
Non-relativistic charged open strings coupled with Abelian gauge fields are quantized in a geometric representation that generalizes the Loop Representation. The model comprises open-strings interacting through a Kalb-Ramond field in four dimensions. It is shown that a consistent geometric-representation can be built using a scheme of ``surfaces and lines of Faraday'', provided that the coupling constant (the ``charge'' of the string) is quantized.
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.
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.
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.
118536666
Aharonov-Bohm Effect and Hidden Photons
Signs of hypothetical light gauge bosons from a hidden sector may appear in Aharonov-Bohm-like experiments. The absence of signal in carried on experiments allow us to set a modest constraint to the mass and coupling constant of these particles. Our findings open the possibility to exploit the leaking of hidden magnetic field in a different setup of experiments.
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.
119184475
Effects of heavy bosonic excitations on QED vacuum
We discuss the contribution of axion-like excitations (ALE) to the vacuum birefringence in the limit mA ≳ ω, where mA is the mass of the excitation and ω the energy of test photons interacting with an external (intense) magnetic field. The relevance of this term with respect to the QED contribution depends on the ratio gA/mA and, from present bounds on the mass and the coupling constant gA, we find that in the present low energy regime, it ranges from 10-14 to 102 suggesting an interesting alternative to explore.
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).
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.