Algebraic renormalization of the BF Yang-Mills Theory

We discuss the quantum equivalence, to all orders of perturbation theory, between the Yang-Mills theory and its first order formulation through a second rank antisymmetric tensor field. Moreover, the introduction of an additional nonphysical vector field allows us to interpret the Yang-Mills theory as a kind of perturbation of the topological BF model.Comment: 14 pages, some references and acknowledgments added, version to appear in Phys.Lett.

Three dimensional fermionic determinants, Chern-Simons and nonlinear field redefinitions

The three dimensional abelian fermionic determinant of a two component massive spinor in flat euclidean space-time is resetted to a pure Chern-Simons action through a nonlinear redefinition of the gauge field.Comment: 18 pages, latex2

A No-Go Theorem for the Nonabelian Topological Mass Mechanism in Four Dimensions

We prove that there is no power-counting renormalizable nonabelian generalization of the abelian topological mass mechanism in four dimensions. The argument is based on the technique of consistent deformations of the master equation developed by G. Barnich and one of the authors. Recent attempts involving extra fields are also commented upon.Comment: 12 pages, latex fil

Anisotropic effect on two-dimensional cellular automaton traffic flow with periodic and open boundaries

By the use of computer simulations we investigate, in the cellular automaton of two-dimensional traffic flow, the anisotropic effect of the probabilities of the change of the move directions of cars, from up to right ($p_{ur}$) and from right to up ($p_{ru}$), on the dynamical jamming transition and velocities under the periodic boundary conditions in one hand and the phase diagram under the open boundary conditions in the other hand. However, in the former case, the first order jamming transition disappears when the cars alter their directions of move ($p_{ur}\neq 0$ and/or $p_{ru}\neq 0$). In the open boundary conditions, it is found that the first order line transition between jamming and moving phases is curved. Hence, by increasing the anisotropy, the moving phase region expand as well as the contraction of the jamming phase one. Moreover, in the isotropic case, and when each car changes its direction of move every time steps ($p_{ru}=p_{ur}=1$), the transition from the jamming phase (or moving phase) to the maximal current one is of first order. Furthermore, the density profile decays, in the maximal current phase, with an exponent $\gamma \approx {1/4}$.}Comment: 13 pages, 22 figure

Dilemma game in a cellular automaton model with a non-signalized intersection

We numerically study traffic flow, energy dissipation and social payoff in the Nagel-Schreckenberg model with a non-signalized intersection. In terms of game theory, we analyze dilemma game observed in some traffic states. There are four traffic phases: free-flow phase, phase-segregated 1, phase-segregated 2 and jammed phase in the case of vmax > 1. In phase-segregated 1, maximum traffic flow corresponds to minimal energy dissipation. Dilemma game is observed at the phase-segregated 1 in the case of vmax > 1, and phase segregation state when vmax = 1. Theoretical analyses give an agreement with numerical results