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References
K.G. WILSON, “Quarks and Strings on a Lattice”, Erice Lecture Notes, 1975.
K.G. WILSON, Phys. Rev. D10, 2445 (1974).
A.A. MIGDAL, Zh. E.T.F. 69, 810 (1975).
A.D. MIGDAL, Zh. E.T.F. 69, 1457 (1975).
L. KADANOFF, A. HOUGHTON, and M.C. YALABIK, J. Stat. Phys. Mar. 1976.
L. KADANOFF, Phys. Rev. Lett. 34, 1005 (1975).
L. KADANOFF, Annals of Phys. (N.Y.) to be published.
BEREZIN, “The Method of Second Quantization”, Acad. Press (N.Y.) (1966). The particular formulation given here was described to me by K. Wilson.
R. HERMANN, Lie Groups for Physicists, W.A. Benjamin, N.Y. (1966) p. 3.
R. BALIAN, J. DROFFE and C. ITZYKSON, Phys. Rev. D10, 3364 (1974).
R. BALIAN, J. DROFFE and C. ITZYKSON, Phys. Rev. D11, 395 (1975).
R. BALIAN, J. DROFFE and C. ITZYKSON, Phys. Rev.
F. WEGNER, J. Math. Phys. 12, 2259 (1971).
E.S. ALBERS and B.W. LEE, Phys. Reports 9C (1973).
A. HOUGHTON and L. KADANOFF, in Renormalization Grou in Critical Phenomena and Quantum Field Theory: Proceedings of a Conference, 1973, ed. J.D. Gunton and M.S. Green), Dept. of Physics, Temple University, Philadelphia, 1973.
D. NELSON and M. FISHER, Annals of Phys. 91, 226 (1975).
F. WEGNER Lecture Notes in Physics 37, 171.
The relation between critical points and fixed points forms the basis of the modern theory of critical phenomena. See K.G. WILSON, Phys. Rev. B4, 3174, 3184 (1971), K.G. WILSON and M.E. FISHER, Phys. Rev. Lett. 28, 240 (1972), K.G. WILSON, Phys. Rev. Lett. 28, 548 (1972) and also R. BALESCU, “Equilibrium and Non Equilibrium Statistical Mechanics”, John Wiley N.Y. 1975, Chapters 9 and 10.
F.D. Murnaghan, The Theory of Group Representations (1938) Chapter 8.
R. BAXTER, Phys,. Rev. Lett. 26, 832 (1971), Annals of Phys. (N.Y.) 193 (1972)
L.P. KADANOFF and F. WEGNER, Phys. Rev. B4, 3989 (1971).
J. ZITTARTZ, Z. Phys. B23, 55,63 (1976).
V.L. BEREZINSKI, Sov. Phys. JETP 32, 493 (1971).
J.M. KOSTERLITZ and D.J. THOULESS, J. Phys. C6, 1181 (1973).
J.M. KOSTERLITZ, J. Phys. C7, 1046 (1974).
A. LUTHER, Private Communication.
K. WILSON, “Relativistically Invariant Lattice Theories”, presented at Coral Gables Conference, Jan. 1976.
Private Communication. See also W. BARDEEN and R.B. PEARSON, “Local Gauge Invariance the Bound State Nature of Hadrons”, Fermilab preprint 76/24-THY 1976.
THE NIEMEIJER and J.M.J. Van LEEUWEN Phys. Rev. Lett. 31, 1411 (1973) and Physica (Utrecht) 71, 17 (1974).
M. NAUENBERG and B. NIENHUIS, Phys. Rev. Lett. 33, 944, 1598 (1974) and Phys. Rev. B11, 4152 (1975).
It is useful to notice that this “Fourier Transformation” is the first step in constructing a dual transformation (H.A. KRAMERS and G.H. WANNIER, Phys. Rev. 60, 252 (1941)). See references 11 and 13.
D. GROSS and F. WILCHEK, Phys. Rev. Lett. 30, 1343 (1973).
H.D. POLITZER, Phys. Rev. Lett. 30, 1346 (1973).
E. BREZIN and J. ZPINN-JUSTIN, Phys. Rev. Lett. 36, 691 (1975).
A.M. POLYAKOV, Phys. Lett. 59B, 79 (1975).
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Kadanoff, L.P. (1972). The application of renormalization group techniques to quarks and strings. In: Brey, J., Jones, R.B. (eds) Critical Phenomena. Lecture Notes in Physics, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0034512
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DOI: https://doi.org/10.1007/BFb0034512
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