منابع مشابه
Infinite volume limit for the dipole gas
Here dp is the normalized rotation invariant measure on Sd−1. The fields φ(x) are a family of Gaussian random variables indexed by x ∈ Z with mean zero and covariance given by the positive definite function C(x, y). The measure μC is the underlying measure. To make the connection with the dipole gas one expands the exponential in (4) and carries out the Gaussian integrals. Similarly one can def...
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Let E(λg) be the vacuum energy for the P(φ)2 Hamiltonian with space cutoff g(x) ^ 0 and coupling constant λ Ξ> 0. For suitable families of cutoffs g ->• 1, the vacuum energy per unit volume converges; i.e., — E(λg)/§ g(x) dx-^ α^λ). We obtain bounds on the λ dependence of α^A) for large and small λ. These lead to estimates for E(λg) as a functional of g that permit a weakening of the standard r...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2009
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-009-9739-8