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References
L.P. Kadanoff, Physica 2 (1966) 263.
K. G. Wilson, Phys. Rev. B4 (1971) 3174; K. G. Wilson and I. G. Kogut, Phys. Rep. 12 (1974) 75.
F. Wegner and A. Houghton, Phys. Rev. A8 (1973) 401; F.J. Wegner in Phase Transitions and Critical Phenomena, vol. 6, eds. C. Domb and M.S. Greene, Academic Press (1976); J.F. Nicoll and T.S. Chang, Phys. Lett. 62A (1977) 287.
S. Weinberg in Critical Phenomena for Field Theorists, Erice Subnucl. Phys. (1976) 1.
J. Polchinski, Nucl. Phys. B231 (1984) 269.
A. Hasenfratz and P. Hasenfratz, Nucl. Phys. B270 (1986) 685; P. Hasenfratz and J. Nager, Z. Phys. C37 (1988) 477.
C. Wetterich, Nucl. Phys. B352 (1991) 529; Z. Phys. C57 (1993) 451; C60 (1993) 461.
J. Schwinger, Proc. Nat. Acad. Sc. 37 (1951) 452; J. Goldstone, A. Salam and S. Weinberg, Phys. Rev. 127 (1962) 965; G. Jona-Lasinio, Nuovo Cim. 34 (1964) 1790; K. Symanzik, Comm. Math. Phys. 16 (1970) 48; J. Iliopoulos, C. Itzykson and A. Martin, Rev. Mod. Phys. 47 (1975) 165.
A. Ringwald and C. Wetterich, Nucl. Phys. B334 (1990) 506; N. Tetradis and C. Wetterich, Nucl. Phys. B383 (1992) 197.
C. Wetterich, Z. Phys. C48 (1990) 693; S. Bornholdt and C. Wetterich, Z. Phys. C58 (1993) 585.
J. Comelas, Y. Kubyshin and E. Moreno, Nucl. Phys. B490 (1997) 653 (hep-th/9512086).
M. Reuter and C. Wetterich, Nucl. Phys. B391 (1993) 147; B408 (1993) 91; B417 (1994) 181; B427 (1994) 291; preprint HD-THEP-94-39 (hep-th/9708051).
C. Becchi, Lecture given at the Parma Theoretical Physics Seminar, Sep 1991, preprint GEF-TH-96-11 (hep-th/9607188).
M. Bonini, M. D’Attanasio, and G. Marchesini, Nucl. Phys. B418 (1994) 81; B421 (1994) 429.
U. Ellwanger, Phys. Lett. B335 (1994) 364; U. Ellwanger, M. Hirsch and A. Weber, Z. Phys. C69 (1996) 687.
C. Wetterich, preprint HD-THEP-95-2 (hep-th/9501119); Z. Phys. C72 (1996) 139 (hep-ph/9604227).
U. Ellwanger, M. Hirsch and A. Weber, preprint LPTHE Orsay 96-50 (hep-ph/9606468).
B. Bergerhoff and C. Wetterich, preprint HD-THEP-97-46 (hep-ph/9708425).
G. Keller, C. Kopper and M. Salmhofer, Helv. Phys. Acta 65 (1992) 32; G. Keller and G. Kopper, Phys. Lett.273B (1991) 323.
C. Wetterich, Phys. Lett. 301B (1993) 90.
C. Wetterich, Mod. Phys. Lett. A11 (1996) 2573 (hep-th/9602039).
M. Bonini, M. D’Attanasio, and G. Marchesini, Nucl. Phys. B409 (1993) 441; U. Ellwanger, Z. Phys. C58 (1993) 619; C. Wetterich, Int. J. Mod. Phys. A9 (1994) 3571.
F.J. Dyson, Phys. Rev. 75 (1949) 1736; J. Schwinger, Proc. Nat. Acad. Sc. 37 (1951) 452.
J. Adams, J. Berges, S. Bornholdt, F. Freire, N. Tetradis and C. Wetterich, Mod. Phys. Lett. A10 (1995) 2367.
J. Berges, N. Tetradis and C. Wetterich, Phys. Rev. Lett. 77 (1996) 873.
N. Tetradis, Nucl. Phys. B488 (1997) 92 (hep-ph/9608272)
J. Berges and C. Wetterich, Nucl. Phys. B487 (1997) 675 (hep-th/9609019).
N. Tetradis and C. Wetterich, Nucl. Phys. B422 [FS] (1994) 541.
T. Morris, Phys. Lett. B329 (1994) 241.
M.M. Tsypin, Phys. Rev. Lett. 73 (1994) 2015; preprint FIAN/TD-23/95 (hep-lat/9601021).
B. Bergerhoff, F. Freire, D. Litim, S. Lola, C. Wetterich, Phys. Rev. B53 (1996) 5734; B. Bergerhoff, D. Litim, S. Lola and C.Wetterich, Int. J. Mod. Phys. A11 (1996) 4273.
N. Tetradis and C. Wetterich, Nucl. Phys. B398 (1993) 659.
U. Ellwanger and C. Wetterich, Nucl. Phys. B423 (1994) 137.
D. J. Gross and F. A. Wilczek, Phys. Rev. Lett. 30 (1973) 1343; H. D. Politzer, Phys. Rev. Lett. 30 (1973) 1346.
See for instance M. Neubert, Phys. Rep. 245 (1994) 259.
J. Gasser and H. Leutwyler, Phys. Rep. C87 (1982) 77; Nucl. Phys. B250 (1985) 465; for a review see for instance H. Leutwyler, lectures given at the Hadroni 96 workshop, Gramado, Brazil, 10–14 April 1994 (hep-ph/9406283).
G.’ t Hooft, Phys. Rep. 142 (1986) 357.
J. L. Richardson, Phys. Lett. 82B (1979), 272.
Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122 (1961) 345.
J. Bijnens, Phys. Rep. 265 (1996) 369; T. Hatsuda and T. Kunihiro, Phys. Rep. 247 (1994) 221.
J. Pawlowski, preprint FSUJ-TPI-05-96 (hep-th/9605037).
D.-U. Jungnickel and C. Wetterich, preprint HD-THEP-96-19 to appear in Z. Phys. C76 (1997) (hep-ph/9606483).
D.-U. Jungnickel and C. Wetterich, Phys. Lett. 389B (1996) 600 (hep-ph/9607411).
D.-U. Jungnickel and C. Wetterich, preprint HD-THEP-97-9 to appear in Z. Phys. C77 (1997) (hep-ph/9704345).
K.-I. Aoki, K. Morikawa, J.-I. Sumi, H. Terao and M. Tomoyose, Progr. Theor. Phys. 97 (1997) 479 (hep-ph/9612459).
W.A. Bardeen, C.T. Hill and D.-U. Jungnickel, Phys. Rev. D49 (1994) 1437.
D.-U. Jungnickel and C. Wetterich, Phys. Rev. D53 (1996) 5142.
C.G. Callan, Phys. Rev. D2 (1970) 1541; K. Symanzik, Comm. Math. Phys. 18 (1970) 227.
S. Coleman and E. Weinberg, Phys. Rev. D7 (1973) 1888.
M. Gell-Mann and M. Levy, Nuovo Cim. 16 (1960) 705.
M. Jamin and M. Münz, Z. Phys. 66 (1995) 633; K.G. Chetyrkin, C.A. Dominguez, D. Pirjol and K. Schilcher Phys. Rev. D51 (1995) 5090; J. Bijnens, J. Prades and E. de Rafael, Phys. Lett. B348 (1995) 226.
J. Berges, D.-U. Jungnickel and C. Wetterich, preprint HD-THEP-97-20 (hep-ph/9705474).
J. Adams, J. Berges, S. Bornholdt, F. Freire, N. Tetradis and C. Wetterich, Mod. Phys. Lett. A10 (1995) 2367 (hep-th/9507093).
J. Berges and C. Wetterich, Nucl. Phys. B487 (1997) 675 (hep-th/9609019).
H. Leutwyler, preprint HEPPH-9609467 (hep-ph/9609467).
For a recent review see H. Meyer-Ortmanns, Rev. Mod. Phys. 68 (1996) 473 (hep-lat/9608098).
Proceedings of Quark Matter’ 96, Nucl. Phys. A610 (1996).
R.D. Pisarski and F. Wilczek, Phys. Rev. D29 (1984) 338.
K. Rajagopal and F. Wilczek, Nucl. Phys. B399 (1993) 395. Nucl. Phys. B399 (1993) 577.
K. Rajagopal, in Quark-Gluon Plasma 2, edited by R. Hwa, World Scientific (1995) (hep-ph/9504310).
A. A. Anselm, Phys. Lett. 217B (1988) 169; A. A. Anselm and M. G. Ryskin, Phys. Lett. 266B (1991) 482; J.-P. Blaizot and A. Krzywicki, Phys. Rev. D46 (1992) 246; J. D. Bjorken, Int. J. Mod. Phys. A7 (1992) 4189; Acta Phys. Pol. B23 (1992) 561; K. L. Kowalski and C. C. Taylor, preprint CWRUTH-92-6 (1992) (hep-ph/9211282); J. D. Bjorken, K. L. Kowalski and C. C. Taylor, in Proceedings of Les Rencontres de Physique de la Vallée D’Aoste, La Thuile, SLAC-PUB-6109 (1993); and in Proceedings of the workshop on Physics at Current Accelerators and the Supercollider, Argonne (1993) hep-ph/9309235.
C.M.G. Lattes, V. Fujimoto and S. Hasegawa, Phys. Rep. 65 (1980) 151.
E. Shuryak, Comm. Nucl. Part. Phys. 21 (1994) 235.
See for instance J. Kapusta, Finite Temperature Field Theory, Cambridge University Press (1989).
P. Ginsparg, Nucl. Phys. B170 (1980) 388; T. Appelquist and R. Pisarski, Phys. Rev. D23 (1981) 2305; S. Nadkarni, Phys. Rev. D27 (1983) 917; N.P. Landsman, Nucl. Phys. B322 (1989) 498.
B. Widom, J. Chem. Phys. 43 (1965) 3898.
D. Toussaint, Phys. Rev. D55 (1997) 362 (hep-lat/9607084).
E. Brezin, D.J. Wallace and K.G. Wilson, Phys. Rev. B7 (1973) 232.
K. Kanaya and S. Kaya, Phys. Rev. D51 (1995) 2404.
G. Baker, D. Meiron and B. Nickel, Phys. Rev. B17 (1978) 1365.
J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford University Press, 1993).
T.R. Morris and M.D. Turner, preprint SHEP-97-06 (hep-th/9704202).
P. Butera and M. Comi, Phys. Rev. B52 (1995) 6185.
T. Reisz, Phys. Lett. 360B (1995) 77 (hep-lat/9507011).
C. Bernard et al., Phys. Rev. D55 (1997) 6861 (hep-lat/9612025); C. Bernard et al., Nucl. Phys. Proc. Suppl. 53 (1997) 442 (hep-lat/9608026).
S. Gottlieb et al., Phys. Rev. D55 (1997) 6852 (hep-lat/9612020).
F. Karsch, Phys. Rev. D49 (1994) 3791; F. Karsch and E. Laermann, Phys. Rev. D50 (1994) 6954.
Y. Iwasaki, K. Kanaya, S. Kaya and T. Yoshie, Phys. Rev. Lett. 78 (1997) 179 (hep-lat/9609022).
G. Boyd, F. Karsch, E. Laermann and M. Oevers, Talk given at 10th International Conference on Problems of Quantum Field Theory, Alushta, Ukraine, 13–17 May 1996 (hep-lat/9607046).
A. Ukawa, Nucl. Phys. Proc. Suppl. 53 (1997) 106 (hep-ph9612011); S. Aoki, T. Kaneda, A. Ukawa and T. Umemura, Nucl. Phys. Proc. Suppl. 63 (1997) 438 (hep-lat/9612010).
J. Gasser and H. Leutwyler, Phys. Lett. 184B (1987) 83; H. Leutwyler, Nucl. Phys. Proc. Suppl. B4 (1988) 248.
C. Bernard et al., Phys. Rev. Lett. 78 (1997) 598 (hep-lat/9611031).
J.B. Kogut, J.F. Lagae and D.K. Sinclair, Nucl. Phys. Proc. Suppl. 53 (1997) 269 (hep-lat/9608128).
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Jungnickel, DU., Wetterich, C. (2002). Nonperturbative Flow Equations, Low-Energy QCD, and the Chiral Phase Transition. In: van Baal, P. (eds) Confinement, Duality, and Non-Perturbative Aspects of QCD. NATO Science Series: B:, vol 368. Springer, Boston, MA. https://doi.org/10.1007/0-306-47056-X_9
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