The Nielsen Identities for the Two-Point Functions of QED and QCD

We consider the Nielsen identities for the two-point functions of full QCD and QED in the class of Lorentz gauges. For pedagogical reasons the identities are first derived in QED to demonstrate the gauge independence of the photon self-energy, and of the electron mass shell. In QCD we derive the general identity and hence the identities for the quark, gluon and ghost propagators. The explicit contributions to the gluon and ghost identities are calculated to one-loop order, and then we show that the quark identity requires that in on-shell schemes the quark mass renormalisation must be gauge independent. Furthermore, we obtain formal solutions for the gluon self-energy and ghost propagator in terms of the gauge dependence of other, independent Green functions.Comment: 25 pages, plain TeX, 4 figures available upon request, MZ-TH/94-0

Search Query: Can America Accept a Right to Be Forgotten as a Publicity Right?

Search engines have profoundly changed the relationship between privacy and free speech by making personal information widely and cheaply available to a global audience. This has raised many concerns both over how online companies handle the information they collect and how regular citizens use online services to invade other people’s privacy. One way Europe has addressed this change is by providing European Union citizens with a right to petition search engines to deindex links from search results—a so-called “right to be forgotten.” If the information contained in a search result is “inadequate, irrelevant or no longer relevant,” the search engine now has an obligation to make the link unsearchable on their platform in the EU. In the United States, no such right to be forgotten exists. Many scholars have argued that such a right is irreconcilable with the First Amendment and American notions of free speech, noting that European law places a higher premium on privacy over free speech than the American constitution will allow for. Up until now, commentators have framed the right to be forgotten as a privacy right. This article posits that conceptualizing the right to be forgotten as a publicity right would make it more palatable to American lawmakers, largely due to the fact it reframes a highly theoretical moral right as a concrete economic guarantee against a search engine’s unfair use of a person’s image, name, or likeness for profit

Relativistically Covariant Symmetry in QED

We construct a relativistically covariant symmetry of QED. Previous local and nonlocal symmetries are special cases. This generalized symmetry need not be nilpotent, but nilpotency can be arranged with an auxiliary field and a certain condition. The Noether charge generating the symmetry transformation is obtained, and it imposes a constraint on the physical states.Comment: Latex file, 9 page

On the Significance of the Quantity "A Squared"

We consider the gauge potential A and argue that the minimum value of the volume integral of A squared (in Euclidean space) may have physical meaning, particularly in connection with the existence of topological structures. A lattice simulation comparing compact and non-compact ``photodynamics'' shows a jump in this quantity at the phase transition, supporting this idea.Comment: 6 pages, one figur