2009/09/18 by Hidenori Sonoda, Sonoda, Hidenori
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum and electron transport phenomena #Quantum many-body systems #Theoretical and Computational Physics #hep-th
paper · pdf · doi:10.48550/arxiv.0909.3348
28 pages, 8 figures, added Ref. 3, typos in Appendix B.2 corrected
openalex publication_date 2009/09/18 · arxiv created 2009/10/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The general prescription for constructing the continuum limit of a field theory is introduced. We then apply the prescription to construct the O(N) non-linear sigma model and the Gross-Neveu model in three dimensions using the large N expansions. We compare these non-linear models with the linearized models, and show the equivalence.