Geometric, Algebraic and Topological Methods for Quantum Field Theory by Cardona Alexander

Author:Cardona, Alexander
Language: eng
Format: epub
Publisher: World Scientific Publishing Company

where we have suppressed all Lorentz indices Here and θ are the intrinsic and extrinsic curvatures of the boundary. The resulting action

attains an extremum for boundary conditions that fix the extrinsic curvature of the boundary. In40 it is also shown that this action principle yields finite charges (mass, angular momentum) without resorting to ad-hoc subtractions or prescribed backgrounds, and the change in the action under gauge transformations is a finite boundary term. It can be asserted that in this case –as in many others–, the demand of gauge invariance is sufficient to cure other seemingly unrelated problems.

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