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arXiv · hep-th/9809096

Finite-Size and Finite-Temperature Effects in the Conformally Invariant O(N) Vector Model for 2<d<4

Anastasios C. Petkou·Nicholas D. Vlachos
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Abstract

We study the operator product expansion (OPE) of the auxiliary scalar field λ(x) with itself, in the conformally invariant O(N) Vector Model for 2<d<4, to leading order in 1/N in a strip-like geometry with one finite dimension of length L. We show that consistency of the finite-geometry OPE with bulk OPE calculations requires the physical conditions of, either finite-size scaling at criticality, or finite-temperature phase transition.

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Anastasios C. Petkou, Nicholas D. Vlachos. 1998-11-09. Finite-Size and Finite-Temperature Effects in the Conformally Invariant O(N) Vector Model for 2<d<4. https://arxiv.org/abs/hep-th/9809096

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