On the complex structure in the Gupta–Bleuler quantization method

Supersymmetric Gupta-Bleuler Quantisation

We formulate the Gupta-Bleuler canonical, covariant and gauge invariant supersymmetric quantization of the supersymmetric (massless) vector field. Our main tool is the recently introduced HilbertKrein structure of the N = 1 superspace.

Gupta-Bleuler quantization of the Maxwell field in globally hyperbolic space-times

We give a complete framework for the Gupta-Bleuler quantization of the free electromagnetic field on globally hyperbolic space-times. We describe oneparticle structures that give rise to states satisfying the microlocal spectrum condition. The field algebra in the so-called Gupta-Bleuler representations satisfies the time-slice axiom, and the corresponding vacuum states satisfy the microlocal s...

On The Quantization Of Constraint Systems: A Lagrangian Approach

It is possible to introduce external time dependent back ground fields in the formulation of a system as fields whose dynamics can not be deduced from Euler Lagrange equations of motion. This method leads to singular Lagrangians for real systems. We discuss quantization of constraint systems in these cases and introduce generalized Gupta-Bleuler quantization. In two examples we show explicitly ...

This is an author produced version of Correction to: Gupta–Bleuler Quantization of the Maxwell Field in Globally Hyperbolic Space-Times

Gupta-Bleuler quantization for massive and massless free vector fields

It is shown that the usual quantum field theory leads to an ultraviolet divergence in the vacuum energies and an infrared divergence in the two-point functions of the massive and massless vector fields. Using a new method of quantization it is shown that the vacuum energies converge, and the normal ordering procedure is not necessary. Also the propagators are calculated, which are automatically...