Abstract
Recent mathematical results concerning lattice gauge theories are surveyed. The distinction between color screening and color confinement is explained in terms of the center of the color gauge group, for heavy quarks. The role of the center in terms of non-abelian vortices and confinement is also discussed.
Supported in part by the National Science Foundation under Grant PHY-78-08066.
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References
G.F. DeAngelis and D. deFalco, Correlation inequalities for lattice gauge fields. Lett Nuovo Cimento 18, 536 (1977).
G.F. DeAngelis, D. deFalco and F. Guerra, Scalar quantum electrodynamics as classical statistical mechanics. Commun. Math. Phys. 57, 201 (1977).
G.F. DeAngelis, D. de Falco, F. Guerra and R. Marra, Gauge fields on a lattice. Preprint (1978).
J. Fröhlich, Confinement in Z lattice gauge theories implies confienment in SU(n) latice Higgs theories. Phys. Lett. 83B, 195 (1979).
J. Glimm and A. Jaffe, Quark trapping for lattice U(1) gauge fields. Phys. Lett. 66B, 67 (1977).
J. Glimm and A. Jaffe, Instantons in a U(1) lattice gauge theory: a Coulomb dipole gas. Commun. Math. Phys. 56, 195 (1977).
J. Glimm and A. Jaffe, The resummation of one particle lines,. Commun. Math. Phys. 67, 267 (1979).
J. Glimm and A. Jaffe, Charges, vortices and confinement. Nuclear Phys. B149, 49 (1979).
J. Glimm, A. Jaffe and T. Spencer, In: Lecture notes in physics, vol. 25. Springer-Verlag, New York (1973).
J. Glimm, A. Jaffe and T. Spencer, A convergent expansion about mean field theory I,II. Ann. Phys. 101, 610 (1976).
B. Kostand and S. Rallis, Orbits and representations associated with symmetric spaces. Amer. J. Math. 93, 753 (1971).
M. Luscher, Absence of spontaneous gauge symmetry breaking in Hamiltonian lattice gauge theories. Preprint (1977).
G. Mack and V. Petkova, Sufficient condition for the confinement of static quarks by a vortex condensation mechanism. Preprint (1978).
G. Mack and V. Petkova, Z2 monopoles in the standard SU(2) lattice gauge theory model. Preprint (1979).
K. Osterwalder and E. Seiler, Gauge field theories on a lattice. Ann. Phys. 110, 440 (1978).
T. Spencer, The decay of the Bethe-Salpeter kernel in P(φ)2 quantum field. Commun. Math. Phys. 44, 143 (1975).
T. Spencer and F. Zirilli, Scattering states and bound states in λP(φ)2. Commun. Math. Phys. 49, 1 (1976).
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© 1980 Plenum Press, New York
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Glimm, J. (1980). Lattice Gauge Theories. In: Hooft, G., et al. Recent Developments in Gauge Theories. NATO Advanced Study Institutes Series, vol 59. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7571-5_4
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DOI: https://doi.org/10.1007/978-1-4684-7571-5_4
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