Abstract
The basic bounds for control over the infinite volume limit are given here. These tools are formally independent of dimension. We give proofs for the finite volume P(φ)2 measures of Chapter 8, but the same methods apply more generally. For example, applied to lattice fields of arbitrary dimension, the bounds of this chapter do not depend on the lattice spacing. This is in contrast to the ultraviolet bounds of Chapter 8, which depend strongly on dimension. Section 12.2, i.e. integration by parts, is similarly independent of dimension.
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© 1987 Springer-Verlag New York Inc.
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Glimm, J., Jaffe, A. (1987). Estimates Independent of Dimension. In: Quantum Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4728-9_10
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DOI: https://doi.org/10.1007/978-1-4612-4728-9_10
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96477-5
Online ISBN: 978-1-4612-4728-9
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