Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-02-09
Int.J.Mod.Phys. A13 (1998) 4101-4122
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, LaTeX, 8 figures
Scientific paper
10.1142/S0217751X9800192X
For slowly varying fields the vacuum functional of a quantum field theory may be expanded in terms of local functionals. This expansion satisfies its own form of the Schr\"odinger equation from which the expansion coefficents can be found. For scalar field theory in 1+1 dimensions we show that this approach correctly reproduces the short-distance properties as contained in the counter-terms. We also describe an approximate simplification that occurs for the Sine-Gordon and Sinh-Gordon vacuum functionals.
Mansfield Paul
Pachos Jiannis
Sampaio Marcos
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