Universality in the percolation problem—Anomalous dimensions of φ4 operators
| dc.contributor | Virginia Tech | en |
| dc.contributor.author | Amit, D. J. | en |
| dc.contributor.author | Wallace, D. J. | en |
| dc.contributor.author | Zia, Royce K. P. | en |
| dc.contributor.department | Physics | en |
| dc.date.accessed | 2014-04-23 | en |
| dc.date.accessioned | 2014-05-07T15:37:10Z | en |
| dc.date.available | 2014-05-07T15:37:10Z | en |
| dc.date.issued | 1977-05 | en |
| dc.description.abstract | We 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.identifier.citation | Amit, 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 | en |
| dc.identifier.doi | https://doi.org/10.1103/PhysRevB.15.4657 | en |
| dc.identifier.issn | 0163-1829 | en |
| dc.identifier.uri | http://hdl.handle.net/10919/47907 | en |
| dc.identifier.url | http://journals.aps.org/prb/abstract/10.1103/PhysRevB.15.4657 | en |
| dc.language.iso | en_US | en |
| dc.publisher | American Physical Society | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject | physics, condensed matter | en |
| dc.title | Universality in the percolation problem—Anomalous dimensions of φ4 operators | en |
| dc.title.serial | Physical Review B | en |
| dc.type | Article - Refereed | en |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- PhysRevB.15.4657.pdf
- Size:
- 691.53 KB
- Format:
- Adobe Portable Document Format
- Description:
- Main article