Search results for "Connection form"

showing 2 items of 2 documents

Cohomology and contraction: The “non-relativistic” limit revisited

1984

In this note we reconsider the transition from P⊗U(1) to the N extended Galilei group \(\tilde G\)(m),first discussed by Saletan. To this aim, we first analyse the relations between the groups G⊗U(1) and \(\tilde G\)c , where G is a Lie group of trivial H o 2 (G,U(1)) cohomology and \(\tilde G\)c is a central extension of Gc (obtained from G by contraction) by U(1).

Mathematical analysisLie groupConnection formContraction (operator theory)CohomologyDirect productMathematicsMathematical physics
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On the unification of electroweak interactions with gravity

1982

It is shown that the electroweak interactions in the Salam-Weinberg model can be described by a space-time connection form which preserves the space-time metric multiplied by a conformal factor. In addition, one needs an extraSO(2)-connection form. The Dirac field in this formalism is described (after making a certain regularity assumption) by a vierbein field for the space-time metric and a complex scalar field.

PhysicsFormalism (philosophy of mathematics)Theoretical physicsClassical mechanicsUnificationHigh Energy Physics::PhenomenologyElectroweak interactionCartan formalismGeneral Physics and AstronomyConnection formConformal mapScalar fieldCzechoslovak Journal of Physics
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