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Manifest gauge and Poincaré covariance

✍ Scribed by Marcel Wellner

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
466 KB
Volume
135
Category
Article
ISSN
0003-4916

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✦ Synopsis

Manifest

gauge invariance is known to be incompatible with manifest Poincarb covariance (Strocchi's theorem).

By extending the notion of gauge invariance to that of gauge covariance. we circumvent that incompatibility, at least for free electromagnetic potentials.

In the new formulation the potentials, A,, for all permissible gauges G. act on a common Hitbert space. This formulation is shown to be inequivalent to the more conventional ones. (In particular, the Coulomb gauge is now inaccessible.)

The abstract gauges G are represented by c-number potentials V,, which play a central role in the theory. Even without interaction. they obey a field equation with a source, and thus they anticipate the existence of electric charges.

📜 SIMILAR VOLUMES

Manifest gauge and Poincaré covariance:
Manifest gauge and Poincaré covariance: Marcel Wellner. Syracuse University, Syracuse, New York 13210, and Dublin Institute for Advanced Studies, Dublin 4, Ireland
📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 79 KB

Pion-nucleon data in the momentum range 1.6 to 10 GeV/c are analyzed. As an intermediate step in the analysis, an impact parameter model, which describes the data primarily in terms of diffractive and peripheral contributions, is used. Many of the resulting partial wave amplitudes show strong resona