A new approach to the quantization of totally constrained systems. Abstract In this paper we present a new approach to the quantization which uses the semiclassical-quantum (SQC) correspondence to deduce the form of the wavefunction of the universe corresponding to a general totally constrained system. The implementation of the constraints can be seen as the breaking of a translational symmetry...

The Chern-Simons ten-dimensional manifestly supersymmetric non-Abelian gauge theory is presented by performing the second quantization of the superparticle theory. The equation of motion is F = (d + A) 2 = 0, where d is the nilpo-tent fermionic BRST operator of the first quantized theory and A is the anti-commuting connection for the gauge group. This equation can be derived as the condition of...

We review the status and present range of applications of the “string – inspired” approach to perturbative quantum field theory. This formalism offers the possibility of computing effective actions and S-matrix elements in a way which is similar in spirit to string perturbation theory, and bypasses much of the apparatus of standard second-quantized field theory. Its development was initiated by...

It is an old speculation in physics that, once the gravitational field is successfully quantized, it should serve as the natural regulator of infrared and ultraviolet singularities that plague quantum field theories in a background metric. We demonstrate that this idea is implemented in a precise sense within the framework of four-dimensional canonical Lorentzian quantum gravity in the continuu...

It is shown that coherent quantum simultons ~simultaneous solitary waves at two different frequencies! can undergo quadrature-phase squeezing as they propagate through a dispersive x (2) waveguide. This requires a treatment of the coupled quantized fields including a quantized depleted pump field. A technique involving nonlinear stochastic parabolic partial differential equations using a nondia...

The present paper aims at investigating the manner of two dissipative massive scalar fields. Two massive scalar fields that interact with a reservoir were considered and a reservoir was modeled by continuum Klein-Gordon fields. The Lagrangian of the total system was canonically quantized and the dynamics of the system was determined using the Euler-Lagrange equation. Then, the explicit form of the...