Abstract
The continuum limit ofZ N (N≧4) spin systems at the critical point is identified with a two-component massless scalar field with quartic self-interactionf αβγδ φ α φ β φ γ φ δ , withf αβγδ = 1/3 (δ αβ δ γδ +δ αγ δ βδ +δ αδ δ βγ ) ≡S αβγδ forN≧5 andf αβγδ =S αβγδ − 2/3δ αβ δ αγ δ αδ forN=4. The result is based on the study of the two and four-point irreducible correlation functions in the one-loop approximation.
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References
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Socolovsky, M. CriticalZ N spin systems andφ 4 theory. Z. Phys. C - Particles and Fields 26, 259–263 (1984). https://doi.org/10.1007/BF01421763
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DOI: https://doi.org/10.1007/BF01421763