Canonical Quantum Electrodynamics with Invariant One-Parameter Gauge Families

Class of gauge-invariant models of quantum electrodynamics with nonlocal interaction

We present a class of gauge-invariant models of quantum electrodynamics with nonlocal interaction. The models have translation, Lorentz and gauge invariance and reduce to the conventional local quantum electrodynamics under the appropriate limit conditions, both the equations of motion of the charged particle and electromagnetic field obtained by the action principle lead to the normal form of ...

Quantum electrodynamics in the temporal gauge.

We canonically quantize electrodynamics in the temporal gauge .4, = 0. Realizing commutation relations in a Hilbert space containing unphysical longitudinal photons, we pay special attention to the implementation of Gauss’s law and the attendant normalization difficulties for physical states. We then formulate the perturbation series and explicitly exhibit equivalence with the standard textbook...

Effective Lagrangian for scale-invariant quantum electrodynamics.

Is there a preferred canonical quantum gauge?

The interaction between a long solenoid and a charged particle in the field free region outside it is studied treating both systems quantum mechanically. This leads to a paradox which suggests that when the electromagnetic field is quantized, there may be a preferred quantum gauge for the vector potential. This paradox is resolved by canonically quantizing the system in a different gauge in whi...

Quantum Gauge Symmetry from Classical Gauge Non-invariant Action

We have recently shown that the modified quantization scheme of Zwanziger, Parrinello and Jona-Lasinio is in fact identical at least in the perturbative accuracy to the conventional Faddeev-Popov formula, if one takes into account the variation of the gauge field along the entire gauge orbit. This in particular suggests that the classical massive gauge theory, for example, and the gauge invaria...