Abstract
Because of
-
(i)
the explanatory power of the quark model in the phenomenological analysis of experimental elementary particle physics,
-
(ii)
the unprecedented precision of the predictions of quantum electrodynamics (QED)
-
(iii)
the esthetic appeal of the geometry of gauge fields
we consider nowadays a gauge theory of interacting quarks as the most promising design of the dynamics of hadrons.
Lectures given at the XVIII. Internationale Universitätswochen für Kernphysik, Schladming, Austria, February 28 – March 10, 1979.
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References
H.Fritzsch, M.Gell-Mann, XVI.International Conference on High-Energy Physics, Chicago-Batavia (1972), Vol.2, p.135 (J.D.Jackson et al., eds., NAL (1972)).
H.Fritzsch, M.Gell-Mann, H.Leutwyler, Phys.Lett. 47B (1973) 365.
S.Weinberg, Phys.Rev.Lett. 31 (1973) 494;
Phys. Rev. D8 (1973) 4482.
D.J.Gross, F.Wilczek, Phys.Rev. D8 (1973) 3633 and ibidem D9 (1974) 980.
R.Dashen, Proceedings of the 1975 International Symposium on Lepton and Photon Interactions at High Energies, Stanford (1975), p.981 (W.I.Kirk, ed., SLAC (1975)).
G.’t Hooft, Nucl. Phys. B33 (1971) 173;
Nucl. Phys. B35 (1971) 167.
K.G. Wilson, J.B.Kogut, Phys. Repts. 12C (1974) 75.
M.Böhm, H.Joos, M.Krammer a) Nuovo Cim. 7A(1972) 21; Nucl.Phys.B51 (1973)397.
M.Böhm, H.Joos, M.Krammer b) in Recent Developments in Mathematical Physics (P.Urban ed.) (Springer Verlag, Wien and New York, 1973) p.p. 3–116
M.Böhm, H.Joos, M.Krammer c) TH-1949 CERN.
E. Eichten, K. Gottfried, T. Kinoshita, J. Kogut, K.D. Lane, T.M. Yani, Phys.Rev. Lett. 34 (1975) 369.
G. Bhanot, S. Rudaz, Phys. Lett. 78B (1978) 119.
J.D. Bjorken, S.J. Brodsky, Phys. Rev. D1 (1970) 1416.
J.D. Bjorken, in “Current-Induced Reactions”, Springer Verlag Berlin, Heidelberg, New York (1975) p. 93.
R.F. Schwitters et al., Phys.Rev.Lett. 35 (1975) 1320;
G.Hanson et al., Phys.Rev.Lett. 35 (1975) 1609; G. Hanson, SLAC PUB 2118 (1978).
Ch. Berger et al., Phys. Lett. 78B (1978) 176; Phys. Lett. 81B (1979) 410; see also G. Flügge, this school.
L. Susskind, Hamburg-Konferenz 1977, p.895. J. Kogut, L. Susskind, Phys. Rev. D9 (1973) 2273. G. Parisi, Phys. Rev. Dll (1975) 970.
J.A. Swieca, Phys. Rev. D13 (1976) 312. D. Buchholz, K. Fredenhagen (statement proven only for abelian gauge fields!).
G. Mack, DESY 77/58.
G. Mack, Phys.Lett. 78B (1978) 263.
B. Schroer, G. Mack, private discussions.
G.’t Hooft, Nucl. Phys. B138 (1978) 1.
G. Mack, Phys. Lett. 78B (1978) 263.
K. Wilson, in New Developments in Quantum Field Theory and Statistical Mechanics.
K. Wilson, Phys. Rev. D10 (1974) 2445.
J.M. Drouffe, C. Itzykson, Phys. Rep. 38C (1978) 133.
R.D. Parks, ed., “Superconductivity” (Marcel Dekker, N.Y. (1969)), ch. 2.
H.B. Nielsen, P.Oleson, Nucl. Phys. B61 (1973) 45. B. Zumino, CERN preprint TH 1779 (1973). Y. Nambu, Phys. Rev. D10 (1974) 4262.
A.Chodos, R.L. Jaffe, K. Johnson, C.B. Thorn, V.F. Weisskopf, Phys.Rev. D9 (1974) 3471. C.G.Callan, R.F.Dashen, D.J.Gross, Phys.Lett. 78B (1978) 307.
J.Schwinger, Phys.Rev. 128 (1962) 2425;
Theoretical Physics, Trieste Lectures, 1962, p. 89, I.A.E.A., Vienna (1963).
J.H. Lowenstein, J.A. Swieca, Ann.Phys.68(1971)172. See also: J.Wess, Lectures at the IV.Int. Univ.Wochen für Kernphysik, Schladming 1965.
P. Becher, H.Joos, DESY 77/43, Proceedings of the 5th International Winter Meeting on Fundamental Physics (Candanchu 1977 ).
H.A. Kramers, Rapports du 8e Conseil Solvay (1948) p.241.(R.Stoops Brussels 1950 ).
H.G. Loos, J. Math. Phys. 8 (1967) 2114.
E. Lubkin, Ann. Phys. (NY) 23 (1963) 233.
T.T. Wu, C.N. Yang, Phys. Rev. D12 (1975) 3845.
G.’t Hooft, unpublished.
D.J. Gross, F. Wilczek, Phys. Rev. Lett. 30 (1973), Phys. Rev. D8 (1973) 3633; D9 (1974) 980.
H.D. Politzer, Phys. Rev. Lett. 30 (1973) 1346
H. Georgi, H.D. Politzer, Phys. Rev. D9 (1974) 416; D. Bailin, A. Love, and D. Nanopoulos, Nuov.Cim. Lett. 9 (1974) 501.
K.G.Wilson, Phys.Rev.D10 (1.974) 2445, Rev. Mod.
Phys. 47 (1975) 773.
W. Drechsler, M.E. Mayer, “Fibre Bundle Techniques in Gauge Theories”, Lecture Notes in Physics, Vol.67 (A. Böhm, J.D. Dollard, eds., Springer Berlin (1977)).
E.Cartan: Differentialformen, Mannheim, Bibliograph.Institut 1974
Textbooks are:(b) I. Singer, J.A. Thorpe, Lecture Notes on Elementary Topology and Geometry. BerlinHeidelberg-New York, Springer 1967.
R.Balian, J.M. Drouffe, C.Itzkyson, Phys. Rev. Dli (1975) 2098.
T. Yoneya, Phys. Rev. D18 (1978) 1174.
A. Casher, DESY 78/43.
M. Lüscher, Phys. Lett. 78B (1978) 465.
A. D’Adda, P. Di Vecchia and M. Lüscher, Nucl.
Phys. B146 (1978) 63 and DESY 78/75 (1978).
H. Eichenherr, Nucl. Phys. B146 (1978) 215.
V. Golo and A. Perelomov, ITEP preprints (1978).
J.M. Drouffe, Phys. Rev. D18 (1978) 1174.
Textbooks on Algebraic Topology, f.i. P.S.
Aleksandrov, Combinatorial Topology ( Gray Lock, New York, 1956 ).
Look for “De Rham Cohomology” in the textbook I. Singer, J.A. Thorpe, Ref. 125].
K. Wilson, Phys. Rev. D10 (1974) 2445.
A.M. Polyakov, Phys. Lett. 59B (1975) 82.
R. Balian, J.M. Drouffe, C. Itzykson, Phys. Rev.D10 (1974) 3376, ibid. Dll 2098 (1975) 2104.
Superconductivity, Ed. R.D. Park (Marcel Bekker Inc. NY 1969 ) Vol. II, ch.6 and 14.
For an introduction: S. Coleman, Erice Lectures 1977.
A. Belavin, A. Polyakov, A. Schwartz, Y. Tyupkin, Phys. Lett. 59B (1975) 85.
A.S. Schwartz, Physics Letters 67B (1977) 172. Atiya et al., Proc. Nat. Acad. Scienc. 74 (1977) 2662.
R. Jackiw, C. Nohl, C. Rebbi, Phys. Rev. D15 (1977) 1642.
C.W. Bernard, N.H. Christ, A.H. Guth, C.J. Weinberg, Phys. Rev. D16 (1977) 2967.
G.’t Hooft, unpublished. R. Jackiw et al. Ref.[34].
E.F. Corrigan, D.B. Fairlie, S.Templeton, P. Goddard, Nucl. Phys. B140 (1978) 31.
A.M. Polyakov, Nucl. Phys. B120 (1977) 429.
R. Jackiw, C. Rebbi, Phys. Rev. Lett. 37 (1976) 172.
M. Creutz, T.N. Tudron, Phys. Rev. 16 (1976) 2978.
Instanton configurations on the lattice are discussed by J. Glimm, P. Jaffe, Comm. Math. Phys. 56 (1977) 195.
K. Wilson, Phys. Rev. 010 (1974) 2445.
W. Fischler, CERN TH 2321 (1977). Th. Appelquist, M. Dine, BNL 23511.
For an early Review: G.F. Newell, E.W. Montroll, Rev. Mod. Phys. 25 (1973) 353. References [30].
M. Creutz, Rev. Mod. Phys. 50 (1978) 561.
J.M. Drouffe, Phys. Rev. D18 (1978) 1174.
K. Osterwalder, E. Seiler, Ann. Phys. (NY) 110 (1978) 440.
G.F. De Angelis, D. de Falco, F. Guerra, Lett. Nuov. Cim. 19 (1977) 55.
J. Glimm, A. Jaffe, Comm. Math. Phys. 51 (1976) 1.
H.G. Dosch, V.F. Müller, Phys. Lett. 74B (1978) 241.
A.A. Migdal, Zh. Eksp. Teor. Fiz. 69 (1975) 810, 69 (1975) 1477, (Sov. Phys. 42 (1975) 413, 42 (1975) 743 ).
The critical dimension d for the Abelian gauge group is discussed by T. Banks, R. Myerson, J. Kogut, Nucl. Phys. B129 (1977) 493 and by J. Glimm, A. Jaffe Ref. [38].
L.D. Kadanoff, Physics 2 (1966) 263; Rev, mod. Phys. 49 (1977) 267.
K.G.Wilson, Rev. Mod. Phys. 47 (1975) 773.
A.A. Migdal, ref. [46].
B.E. Baaquie, SLAC-PUB 1964.
B.M. McCoy, T.T. Wu, The Two-Dimensional Ising Model, Harvard University Press, Cambridge (Mass.) (1973), and literature quoted there.
D. Isaacson, Comm. Math. Phys. 53 (1977) 257.
A.M. Polyakov, Nucl. Phys. B120 (1977) 429.
G.’t Hooft, Phys. Rev. D14 (1976) 3432
Erratum: Phys. Rev. D18 (1978) 2199.
C. Callan, R. Dashen, D. Gross, Phys. Rev. D17 (1978) 2717.
V.A. Fateev, I.V. Frolov and A.S. Schwarz, ITEP preprint (1979). B. B.rg, M. Löscher, DESY 79 /17.
A.D’Adda, P. Di Vecchia, M. Löscher, Nucl. Phys.B.
G. Lazarides, DESY 79/01.
Coty, F. Banks, S. Raby, S. Susskind, D.R. Jones
P.N. Scharbach, D.K. Sinclair, Phys. Rev. D15 (1977) 1111.
M. Löscher, Comm. Math. Phys. 54 (1977) 283.
H. Suura, DESY 79/25.
S. Mandelstam, Phys. Rev. 175 (1968) 1580.
Y. Nambu, Phys. Lett. 80B (1979) 372.
T. Matsumoto, Univ. of Tokyo Preprint, UT-Komaba 78–10.
H. Leutwyler and J. Stern, Orsay preprint 1978 IPNO/TH 7.
A.M. Polyakov, Phys. Lett. 82B (1979) 247.
These authors consider dynamical equations based on string operators for 4-dimensional QCD and QED.
A. Casher, J. Kogut, L. Susskind, Phys. Rev. Lett. 31 (1973) 792.
P. Becher, H. Joos (in preparation).
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Joos, H. (1979). Introduction to Quark Confinement in QCD. In: Urban, P. (eds) Quarks and Leptons as Fundamental Particles. Acta Physica Austriaca, vol 21/1979. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8574-2_6
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