Particles and scaling for lattice fields and Ising models |
| |
Authors: | James Glimm Arthur Jaffe |
| |
Institution: | (1) Rockefeller University, 10021 New York, N. Y., USA;(2) Harvard University, 02138 Cambrige, Mass., USA |
| |
Abstract: | The conjectured inequality (6) 0 leads to the existence of
d
4
fields and the scaling (continuum) limit ford-dimensional Ising models. Assuming (6) 0 and Lorentz covariance of this construction, we show that ford 6 these
d
4
fields are free fields unless the field strength renormalizationZ
–1 diverges. Let be the bare charge and the lattice spacing. Under the same assumptions ( (6) 0, Lorentz covariance andd 6) we show that if ![lambda](/content/t413601r24427883/xxlarge955.gif) 4–d
is bounded as ![epsi](/content/t413601r24427883/xxlarge949.gif) 0, thenZ
–1 is bounded and the limit field is free.Supported in part by the National Science Foundation under Grant MPS 74-13252Supported in part by the National Science Foundation under Grant MPS 75-21212 |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|