SELF-AVOIDING WALK ON A HIERARCHICAL LATTICE IN 4 DIMENSIONS

• 成果类型: Article
• 署名作者: BRYDGES, D; EVANS, SN; IMBRIE, JZ
• 署名单位: University of California System; University of California Berkeley; Harvard University; Harvard University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176989919
• 发表日期: 1992
• 页码: 82-124
• 关键词: local field; MODEL; RENORMALIZATION; REPRESENTATION; supersymmetry; phi-4(4); point

摘要

We define a Levy process on a d-dimensional hierarchical lattice. By construction the Green's function for this process decays as \x\2-d . For d = 4, we prove that the introduction of a sufficiently weak self-avoidance interaction does not change this decay provided the mass = killing rate is chosen in a special way, so that the process is critical.