Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-07-21
Nucl.Phys. B545 (1999) 623-655
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, LaTeX, 5 figures
Scientific paper
10.1016/S0550-3213(98)00871-2
For slowly varying fields the Yang-Mills Schroedinger functional can be expanded in terms of local functionals. We show how analyticity in a complex scale parameter enables the Schroedinger functional for arbitrarily varying fields to be reconstructed from this expansion. We also construct the form of the Schroedinger equation that determines the coefficients. Solving this in powers of the coupling reproduces the results of the `standard' perturbative solution of the functional Schroedinger equation which we also describe. In particular the usual result for the beta-function is obtained illustrating how analyticity enables the effects of rapidly varying fields to be computed from the behaviour of slowly varying ones.
Mansfield Paul
Sampaio Marcos
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