Modified Anyonic Particle and Its Fundamental Gauge Symmetries

In this article, we study the possibility of changing a physical degree of freedom of a particle to its quantum spin after quantization is applied. Our approach to do such a survey is increasing the fundamental symmetries of the anyonic particle model with the help of the symplectic formalism of constrained systems. After extracting the corresponding Poisson structure of all constraints, we compare the effect of gauging on the phase spaces, the number of physical degrees of freedom, canonical structures of both primary and gauged models, and the spin of the anyon, in terms of its energy.

AN ALTERNATIVE VIEW ON THE ELECTROWEAK INTERACTIONS

We discuss an alternative to the Higgs mechanism which leads to gauge invariant masses for the electroweak bosons. The key idea is to reformulate the gauge invariance principle which, instead of being applied as usual at the level of the action, is applied at the level of the quantum fields. In other words, we define gauge invariant quantum fields which are used to build the action. In that framework, the Higgs field is not necessarily a physical degree of freedom but can merely be a dressing field that does not propagate. If the Higgs boson is not propagating, the weak interactions must become strongly coupled below 1 TeV and have a nontrivial fixed point and would thus be renormalizable at the nonperturbative level. On the other hand, if a gauge invariant Higgs boson is introduced in the model, its couplings to the fermions and the electroweak bosons can be quite different from those expected in the Standard Model.

Is there the radion in the RS2 model?

We analyse the physical boundary conditions at infinity for metric fluctuations and gauge functions in the RS2 model with matter on the brane. We argue that due to these boundary conditions the radion field cannot be gauged out in this case. Thus, it represents a physical degree of freedom of the model.

Quantization of gl(1, R) Generalized Chern–Simons Theory in 1+1 Dimensions

We present a quantization of previously proposed generalized Chern–Simons theory with gl(1, R) algebra in 1+1 dimensions. This simplest model shares the common features of generalized CS theories: on-shell reducibility and violations of regularity. On-shell reducibility of the theory requires us to use the Lagrangian Batalin–Vilkovisky and/or Hamiltonian Batalin–Fradkin–Vilkovisky formulation. Since the regularity condition is violated, their quantization is not straightforward. In the present case we can show that both formulations give an equivalent result. It leads to an interpretation that a physical degree of freedom which does not exist at the classical level appears at the quantum level.

STRONG CP PROBLEM AND AN AXIAL U(1) GAUGE SYMMETRY

We extend the standard model by an axial U(1) gauge symmetry obtained from a rotation parametrized by a scalar field. In quantizing the system, the Peccei-Quinn symmetry is realized by introducing a BRST-exact term, which can provide a new approach to the strong CP problem without assuming a physical degree of freedom like the axion or the massless quark. We can find that the transition between different topological sectors of QCD via physical scattering processes is suppressed.