The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Nonlinear Models in2+εDimensions
Open accessAbstract
A generalization of the nonlinear $\ensuremath{\sigma}$ model is considered. The field takes values in a compact manifold $M$ and the coupling is determined by a Riemannian metric on $M$. The model is renormalizable in $2+\ensuremath{\epsilon}$ dimensions, the renormalization group acting on the infinite-dimensional space of Riemannian metrics. Topological properties of the $\ensuremath{\beta}$ function and solutions of the fixed-point equation ${R}_{\mathrm{ij}}\ensuremath{-}\ensuremath{\alpha}{g}_{\mathrm{ij}}={\ensuremath{\nabla}}_{i}{v}_{j}+{\ensuremath{\nabla}}_{j}{v}_{i}$, $\ensuremath{\alpha}=\ifmmode\pm\else\textpm\fi{}1 or 0$, are discussed.
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Cites
Ordering, metastability and phase transitions in two-dimensional systems
Kosterlitz, J. M., & Thouless, D. J. (1973) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/6/7/010 · Cited by 9,538
The renormalization group and the ε expansion
Wilson, K. (1974) · Physics Reports · doi:10.1016/0370-1573(74)90023-4 · Cited by 5,179
Polyakov, A. M. (1975) · Physics Letters B · doi:10.1016/0370-2693(75)90161-6 · Cited by 959
Calabi's conjecture and some new results in algebraic geometry
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Brézin, E., & Zinn-Justin, J. (1976) · Physical Review Letters · doi:10.1103/physrevlett.36.691 · Cited by 381
The geometry and structure of isotropy irreducible homogeneous spaces
Wolf, J. A. (1968) · Acta Mathematica · doi:10.1007/bf02394607 · Cited by 210
A compact rotating gravitational instanton
Page, D. N. (1978) · Physics Letters B · doi:10.1016/0370-2693(78)90231-9 · Cited by 201
Einstein metrics on principal fibre bundles
Jensen, G. R. (1973) · Journal of Differential Geometry · doi:10.4310/jdg/1214431962 · Cited by 159
Ecker, G. F., & Honerkamp, J. (1971) · Nuclear Physics B · doi:10.1016/0550-3213(71)90468-8 · Cited by 125
Cited by
Callan, C. G., Friedan, D., Martinec, E. J., & Perry, M. J. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90506-1 · Cited by 1,505
Self-citationEffective field theory from quantized strings
Fradkin, E. S., & Tseytlin, A. A. (1985) · Physics Letters B · doi:10.1016/0370-2693(85)91190-6 · Cited by 771
Membranes at quantum criticality
Hořava, P. (2009) · Journal of High Energy Physics · doi:10.1088/1126-6708/2009/03/020 · Cited by 731
Geometrical structure and ultraviolet finiteness in the supersymmetric ?-model
Alvarez-Gaume, L., & Freedman, D. Z. (1981) · Communications in Mathematical Physics · doi:10.1007/bf01208280 · Cited by 622
Constraints on string vacua with spacetime supersymmetry
Banks, T., & Dixon, L. J. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90523-8 · Cited by 469
Metadata
- Authors
- Friedan, D.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1980-09-29
- Volume
- 45
- Issue
- 13
- Pages
- 1057-1060
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1494329156
- Cited by
- 468
- References
- 9
- FWCI
- 2.83
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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