The effective potential as an energy density: The one phase region |
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Authors: | Gordon Slade |
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Affiliation: | (1) Department of Mathematics, University of Virginia, 22903 Charlottesville, VA, USA |
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Abstract: | An explicit formula is given relating the effective potential in a finite volumeP()2 quantum field theory to the expected energy density under the constraint of a fixed average filed. In the one phase region, i.e., where the classical potential equals its convex hull and has nonvanishing second derivative, it is shown via a central limit theorem that in the infinite volume limit the effective potential is equal to the constrained energy density, provided is sufficiently small. |
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