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dc.contributorVirginia Tech
dc.contributor.authorAmit, D. J.
dc.contributor.authorWallace, D. J.
dc.contributor.authorZia, R. K. P.
dc.date.accessioned2014-05-07T15:37:10Z
dc.date.available2014-05-07T15:37:10Z
dc.date.issued1977-05
dc.identifier.citationAmit, D. J.; Wallace, D. J.; Zia, R. K. P., "Universality in the percolation problem—Anomalous dimensions of φ4 operators," Phys. Rev. B 15, 4657 DOI: http://dx.doi.org/10.1103/PhysRevB.15.4657
dc.identifier.issn0163-1829
dc.identifier.urihttp://hdl.handle.net/10919/47907
dc.description.abstractWe consider critical systems, such as the percolation problem, whose symmetry permits an invariant interaction of third order in the fluctuating fields φ. In the renormalization-group approach one is naturally led to look for infrared-stable fixed points which yield ε expansions in 6−ε dimensions, with ε=3 as the physical value. Since the Gaussian fixed point becomes unstable to φ4 interactions for ε>2, it is important to check that the fixed point obtained in the ε expansion remains stable to such perturbations. We report the calculation to first order in ε of the corrections to scaling induced by (stability with respect to) φ4 interactions in a general class of such theories. The results indicate that φ4 interactions remain irrelevant in the percolation problem.
dc.language.isoen_US
dc.publisherAmerican Physical Society
dc.subjectphysics, condensed matter
dc.titleUniversality in the percolation problem—Anomalous dimensions of φ4 operators
dc.typeArticle
dc.identifier.urlhttp://journals.aps.org/prb/abstract/10.1103/PhysRevB.15.4657
dc.date.accessed2014-04-23
dc.title.serialPhysical Review B
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.15.4657


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