Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-07-28
J.Phys.A34:2681-2694,2001
Physics
Condensed Matter
Statistical Mechanics
13 pages
Scientific paper
10.1088/0305-4470/34/13/302
We study the critical behaviour of symmetric $\phi^4_4$ theory including irrelevant terms of the form $\phi^{4+2n}/\Lambda_0^{2n}$ in the bare action, where $\Lambda_0$ is the UV cutoff (corresponding e.g. to the inverse lattice spacing for a spin system). The main technical tool is renormalization theory based on the flow equations of the renormalization group which permits to establish the required convergence statements in generality and rigour. As a consequence the effect of irrelevant terms on the critical behaviour may be studied to any order without using renormalization theory for composite operators. This is a technical simplification and seems preferable from the physical point of view. In this short note we restrict for simplicity to the symmetry class of the Ising model, i.e. one component $\phi^4_4$ theory. The method is general, however.
Kopper Christoph
Pedra Walter
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