Received We present a model for an inhomogeneous and anisotropic early universe filled with a nonlinear electromagnetic field of Born-Infeld (BI) type. The effects of the BI field are compared with the linear case (Maxwell). Since the curvature invaria nts are well behaved then we conjecture that our model does not present an initial big bang singularity. The existence of the BI field modifies ...

In this paper, the connections among $1$-loop Feynman integrands of a large variety theories with massless external states are further investigated. The work includes two parts. First, we construct new class differential operators which transmute gravitational to Yang-Mills integrands. commutable integration loop momentum, thus corresponding transmutational relations hold at not only level, but...

We show that the nonlinear Born-Infeld field equations supplemented by the “dynamical condition” (certain boundary condition for the field along the particle’s trajectory) define perfectly deterministic theory, i.e. particle’s trajectory is determined without any equations of motion. It is a first step towards constructing the consistent theory of point particles interacting with nonlinear elec...

We consider self-duality in a 2 + 1 dimensional gauge theory containing both the Born-Infeld and the Chern-Simons terms. We introduce a Born-Infeld inspired generalization of the Proca term and show that the corresponding model is equivalent to the Born-Infeld-Chern-Simons model. email: [email protected] email: [email protected] 1 Many years ago Townsend et. al. studied self-duality in gauge...

We obtain the exact operator solution of two-dimensional quantum Born-Infeld theory. This theory has a Lagrangian density non-polynomial in the fundamental fields. So this analysis might shed some light on the analysis of non-perturbative effects of field theories. We find the new exact soluble class of quantum field theories. a E-mail address: [email protected]

An intriguing connection, based on duality symmetry, between ordinary (commutative) Born-Infeld type theory and non-commutative Maxwell type theory, is pointed out. Both discrete as well as continuous duality transformations are considered and their implications for self duality condition and Legendre transformations are analysed. On leave from S.N.Bose National Centre for Basic Sciences, Calcu...