Universality in the percolation problem—Anomalous dimensions of φ4 operators

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dc.contributorVirginia Techen
dc.contributor.authorAmit, D. J.en
dc.contributor.authorWallace, D. J.en
dc.contributor.authorZia, Royce K. P.en
dc.contributor.departmentPhysicsen
dc.date.accessed2014-04-23en
dc.date.accessioned2014-05-07T15:37:10Zen
dc.date.available2014-05-07T15:37:10Zen
dc.date.issued1977-05en
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.en
dc.format.mimetypeapplication/pdfen
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.15.4657en
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.15.4657en
dc.identifier.issn0163-1829en
dc.identifier.urihttp://hdl.handle.net/10919/47907en
dc.identifier.urlhttp://journals.aps.org/prb/abstract/10.1103/PhysRevB.15.4657en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectphysics, condensed matteren
dc.titleUniversality in the percolation problem—Anomalous dimensions of φ4 operatorsen
dc.title.serialPhysical Review Ben
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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