Supersymmetric Gupta-Bleuler Quantisation

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 complex structure in the Gupta–Bleuler quantization method

We examine the general conditions for the existence of the complex structure intrinsic in the Gupta-Bleuler quantization method for the specific case of mixed first and second class fermionic constraints in an arbitrary space-time dimension. The cases d = 3 and 10 are shown to be of prime importance. The explicit solution for d = 10 is presented.

Quantising Gravity Using Physical States of a Superstring

A symmetric zero mass tensor of rank two is constructed using the superstring modes of excitation which satisfies the physical state constraints of a superstring. These states have one to one correspondence with the quantised operators and are shown to be the absorption and emission quanta of the Minkowski space Lorentz tensor, using the Gupta-Bleuler method of quantisation. The principle of eq...

Systems with Outer Constraints. Gupta-Bleuler Electromagnetism as an Algebraic Field Theory

Since there are some important systems which have constraints not contained in their field algebras, we develop here in a C*-context the algebraic structures of these. The constraints are defined as a group G acting as outer automorphisms on the field algebra J^, α:Gι-> Aut $F, αG φ Inn J^, and we find that the selection of G-invariant states on 3F is the same as the selection of states ω on M(...

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