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Application of the Lace Expansion to the φ4 Model
| Title: | Application of the Lace Expansion to the φ4 Model |
| Authors: | Sakai, Akira Browse this author →KAKEN DB |
| Issue Date: | 1-Jun-2015 |
| Publisher: | Springer |
| Journal Title: | Communications in mathematical physics |
| Volume: | 336 |
| Issue: | 2 |
| Start Page: | 619 |
| End Page: | 648 |
| Publisher DOI: | 10.1007/s00220-014-2256-x |
| Abstract: | Using the Griffiths–Simon construction of the φ4 model and the lace expansion for the Ising model, we prove that, if the strength λ≥0 of nonlinearity is sufficiently small for a large class of short-range models in dimensions d > 4, then the critical φ4 two-point function ⟨φoφx⟩μc is asymptotically |x|2−d times a model-dependent constant, and the critical point is estimated as μc=J^−λ2⟨φ2o⟩μc+O(λ2) , where J^ is the massless point for the Gaussian model. |
| Rights: | The final publication is available at link.springer.com |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/61968 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 坂井 哲
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