The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Possible third-order phase transition in the large-Nlattice gauge theory
Abstract
The large-$N$ limit of the two-dimensional $\mathrm{U}(N)$ (Wilson) lattice gauge theory is explicitly evaluated for all fixed $\ensuremath{\lambda}={g}^{2}N$ by steepest-descent methods. The $\ensuremath{\lambda}$ dependence is discussed and a third-order phase transition, at $\ensuremath{\lambda}=2$, is discovered. The possible existence of such a weak- to strong-coupling third-order phase transition in the large-$N$ four-dimensional lattice gauge theory is suggested, and its meaning and implications are discussed.
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Citations
Cites
Wilson, K. G. (1974) · Physical Review D · doi:10.1103/physrevd.10.2445 · Cited by 4,507
Hamiltonian formulation of Wilson's lattice gauge theories
Kogut, J., & Susskind, L. (1975) · Physical Review D · doi:10.1103/physrevd.11.395 · Cited by 2,021
Brézin, E., Itzykson, C., Parisi, G., & Zuber, J. B. (1978) · Communications in Mathematical Physics · doi:10.1007/bf01614153 · Cited by 1,479
String representations and hidden symmetries for gauge fields
Polyakov, A. M. (1979) · Physics Letters B · doi:10.1016/0370-2693(79)90747-0 · Cited by 368
Cited by
Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070
“of the large N theory, somewhat similar to large N singularities found [47] in certain toy”
BackgroundSelf-citationAnti-de Sitter space, thermal phase transition, and confinement in gauge theories
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n3.a3 · Cited by 3,915
Self-citationReduction of Dynamical Degrees of Freedom in the Large-NGauge Theory
Eguchi, T., & Kawai, H. (1982) · Physical Review Letters · doi:10.1103/physrevlett.48.1063 · Cited by 731
Loop equations and 1N expansion
Migdal, A. A. (1983) · Physics Reports · doi:10.1016/0370-1573(83)90076-5 · Cited by 493
The Hagedorn transition, deconfinement and =4 SYM theory
Sundborg, B. (2000) · Nuclear Physics B · doi:10.1016/s0550-3213(00)00044-4 · Cited by 408
Metadata
- Authors
- Gross, D. J., & Witten, E.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1980-01-15
- Volume
- 21
- Issue
- 2
- Pages
- 446-453
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2145023644
- Cited by
- 849
- References
- 4
- FWCI
- 11.65
- Type
- journal article
- Language
- en
- Open access
- closed
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- Gross, D. J., & Witten, E. (1980). Possible third-order phase transition in the large-Nlattice gauge theory. Physical Review D. https://doi.org/10.1103/physrevd.21.446
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