Remarks on the Aharonov-Bohm Green function
Some elementary algebraic points regarding the Green function for a localised ﬂux tube are developed. A calculation of the eﬀective action density is included.
On the bulk block expansion for a monodromy defect
For a free–ﬁeld ﬂat monodromy defect, a formula for the ﬁnite part of the correlator is obtained as a double power series in (1 − x ) and (1 − x ) where x and x are lightcone coordinates. It takes…
On the Green function for an Aharonov-Bohm flux tube
An earlier contour expression for the Green function of a free complex scalar ﬁeld in the presence of a conical singularity with localised magnetic ﬂux is shown to yield expressions for the ﬁeld…
Quantum field theory on a cone
The expressions derived by Sommerfeld (1897) and Carslaw (1919) for the Green functions and diffusion kernels in a wedge of arbitrary angle are shown to be useful in discussions of the Feynman Green…
Casimir effect around a cone.
- PhysicsPhysical review. D, Particles and fields
The vacuum average of the energy density of a free, massless scalar field around a conical flux-tube singularity in d+1 space-time dimensions is calculated. A complex contour method is employed and…