@article{TMF_1995_104_1_a7,
author = {G. W. Semenoff and R. J. Szabo},
title = {Observables and critical behaviour in fermionic matrix models},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {78--122},
year = {1995},
volume = {104},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TMF_1995_104_1_a7/}
}
G. W. Semenoff; R. J. Szabo. Observables and critical behaviour in fermionic matrix models. Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 1, pp. 78-122. http://geodesic.mathdoc.fr/item/TMF_1995_104_1_a7/
[1] J. Ambj0rn, C.F. Kristjansen and Yu. Makeenko, “Generalized Penner Models to all Genera”, Phys. Rev., D50 (1994), 5193 | MR
[2] J. Ambj0rn, L. Chekhov, C.F. Kristjansen and Yu. Makeenko, “Matrix Model Calculations Beyond the Spherical Limit”, Nucl. Phys., B404 (1993), 127 | MR
[3] D.Bessis, C. Itzykson and J.-B. Zuber, “Quantum Field Theory Techniques in Graphical Enumeration”, Adv. Appl. Math., 1 (1980), 109 | DOI | MR | Zbl
[4] E. Brezin and D.J. Gross, “The External Field Problem in the Large-$N$ Limit of QCD”, Phys. Lett., B97 (1980), 120 | DOI | MR
[5] E. Brezin, C. Itzykson, G. Parisi and J.-B. Zuber, “Planar Diagrams”, Comm. Math. Phys., 59 (1978), 35 | DOI | MR | Zbl
[6] S. Chaudhuri, H. M. Dykstra and J.D. Lykken, “The Penner Matrix Model and $c=1$ Strings”, Mod. Phys. Lett., A6 (1991), 1665 | DOI | MR | Zbl
[7] F. David, “Phases of the Large-$N$ Matrix Model and Non-perturbative Effects in 2$D$ Gravity”, Nucl. Phys., B348 (1991), 507 | DOI | MR
[8] J. Distler and C. Vafa, “A Critical Matrix Model at c = 1”, Mod. Phys. Lett., A6 (1991), 259 | DOI | MR | Zbl
[9] M.I. Dobroliubov, Yu. Makeenko and G.W. Semenoff, “Correlators of the Kazakov-Migdal Model”, Mod. Phys. Lett., A8 (1993), 2387 | DOI | MR | Zbl
[10] P. Di Francesco, P. Ginsparg and J. Zinn-Justin, “2$D$ Gravity and Random Matrices”, Phys. Rep., 1994 in press (to appear) | MR
[11] J.-M. Drouffe and J.-B. Zuber, “Strong Coupling and Mean Field Methods in Lattice Gauge Theories”, Phys. Rep., 102 (1983), 1 | DOI | MR
[12] D.J. Gross and E. Witten, “Possible Third Order Phase Transition in the Large-$N$ Lattice Gauge Theory”, Phys. Rev., D21 (1980), 446
[13] C. Itzykson and J.-B. Zuber, “The Planar Approximation”, J. Math. Phys., 21 (1980), 411 | DOI | MR | Zbl
[14] J. Jurkiewicz, “Regularization of One-matrix Models”, Phys. Lett., B245 (1990), 178 | DOI | MR | Zbl
[15] V.A. Kazakov, “The Appearence of Matter Fields from Quantum Fluctuations of 2$D$-Gravity”, Mod. Phys. Lett, A4 (1989), 2125 | DOI | MR
[16] V.A. Kazakov and A.A. Migdal, “Induced Gauge Theory at Large-$N$”, Nucl. Phys., B397 (1993), 214 | DOI | MR
[17] S. Khoklachev and Yu. Makeenko, “The Problem of Large-$N$ Phase Transition in Kazakov- Migdal Model of Induced QCD”, Phys. Lett., B297 (1992), 345 | DOI
[18] S. Khoklachev and Yu. Makeenko, “Adjoint Fermions Induce QCD”, Mod. Phys. Lett., A7 (1992), 3653 | DOI
[19] H. Kluberg-Stern, A. Morel, O. Napoly and B. Petersson, “Spontaneous Chiral Symmetry Breaking for a $U(N)$ Gauge Theory on a Lattice”, Nucl. Phys., B190 [FS3] (1981), 504 | DOI | MR
[20] I.I. Kogan, A. Morozov, G.W. Semenoff and N. Weiss, “Area Law and Continuum Limit in Induced QCD”, Nucl. Phys., B395 (1993), 547 | DOI | MR
[21] J. Kogut and L. Susskind, “Hamiltonian Formulation of Wilson's Lattice Gauge Theories”, Phys. Rev, D11 (1975), 395
[22] Yu. Makeenko, “Large-$N$ Reduction, Master Field and Loop Equations in Kazakov-Migdal Model”, Mod. Phys. Lett., A8 (1993), 209 | DOI | MR | Zbl
[23] Yu. Makeenko, “Matrix Models of Induced QCD”, Proc. XXVII International Ahrenshoop Symposium on the Theory of Elementary Particles (DESY 94-053), eds. D. Lust and G. Weigt, 1994, 85 | MR
[24] Yu. Makeenko and M.I. Polikarpov, “Phase Diagram of Mixed Lattice Gauge Theory from the Viewpoint of Large-$N$”, Nucl. Phys., B205 [FS5] (1982), 386 | DOI
[25] Yu. Makeenko and K. Zarembo, “Adjoint Fermion Matrix Models”, Nucl. Phys., B422 (1994), 237 | DOI
[26] N. Marshall, G.W. Semenoff and R.J. Szabo, Critical Behaviour of a Fermionic Random Matrix Model at Large-$N$, preprint UBC/S-94/1, University of British Columbia, 1994 | MR | Zbl
[27] A.A. Migdal, “Loop Equations and $\frac1N$-Expansions”, Phys. Rep., 102 (1983), 199 | DOI
[28] A.A. Migdal, “Mixed Model of Induced QCD”, Mod. Phys. Lett., A8 (1993), 359 | DOI | MR | Zbl
[29] A.Morozov, “Integrability and Matrix Models”, Sov. Phys. Usp., 1994 in press (to appear)
[30] R.C. Penner, “Perturbative Series and the Moduli Space of Riemann Surfaces”, J. Diff. Geom., 27 (1988), 35 | DOI | MR | Zbl
[31] K.G. Wilson, “Confinement of Quarks”, Phys. Rev., D10 (1974), 2445