Appendix F: U(1) Problem Solved by Gauge Group Topology
281
L. Felline, A. Ledda, F. Paoli, E. Rossanese, eds., New Directions in Logic and the Philosophy of
Science (College Publications, 2016)
K. Fujikawa, Phys. Rev. D 21, 2848 (1980)
G.S. Guralnik, C.R. Hagen, T.W. Kibble, Broken symmetries and the goldstone theorem, in
Advances in Particle Physics, vol. 2, R.L. Cool, R.E. Marshak eds., (Interscience, New York,
1968)
R. Haag, Nuovo Cimento 25, 1078 (1962)
R. Haag, Local Quantum Physics (Springer, Berlin, 1996)
G. t’ Hooft, How instantons solve the U (1) problem. Phys. Rep. 142, 357 (1986)
R. Jackiw, Topological investigations of quantized gauge theories, in Current Algebra and Anomalies, S.B. Treiman, R. Jackiw, B. Zumino, E. Witten eds., (World Scientific, 1985)
C. Kittel, Quantum Theory of Solids, J (Wiley, New York, 1963)
J. Kogut, L. Susskind, Phys. Rev. D 10, 3468 (1974)
J. Kogut, L. Susskind, Phys. Rev. D 11, 3593 (1975)
J. Löffelholz, G. Morchio, F. Strocchi, Ann. Phys. 250, 367 (1996)
G. Morchio, F. Strocchi, Commun. Math. Phys. 99, 153 (1985)
G. Morchio. F. Strocchi, Ann. Phys. 170, 310 (1986)
G. Morchio, F. Strocchi, J. Math. Phys. 28, 622 (1987a)
G. Morchio, F. Strocchi, J. Math. Phys. 28, 1912 (1987b)
G. Morchio, F. Strocchi, Commun. Math. Phys. 111, 593 (1987c)
G. Morchio, F. Strocchi, Ann. Phys. 185, 241 (1988a)
G. Morchio, F. Strocchi, Invited talk given by the second author at the in IX International Conference
on Mathematical Physics, B. Simon et al. ed., Adam Hilger, 1989 (Swansea(Wales) 1988b)
G. Morchio, F. Strocchi, Boundary terms, long range effects and chiral symmetry breaking, in Fields
and Particles, H. Mitter, W. Schweiger eds., Schladming 1990 (Springer, Berlin, 1991)
G. Morchio, F. Strocchi, Ann. Phys. 324, 2236 (2009)
I. Ojima, Nuclear Phys. B 143, 340 (1978)
G. Sewell, Lett. Math. Phys. 6, 209 (1982)
J. Swieca, Commun. Math. Phys. 4, 1 (1967)
J. Swieca, in Cargese Lectures in Physics, Vol. 4, D. Kastler ed., (Gordon and Breach, New York,
1970)
F. Strocchi, Elements of Quantum Mechanics of Infinite Systems (World Scientific, 1985)
F. Strocchi, Commun. Math. Phys. 56, 57 (1977)
F. Strocchi, Selected Topics on the General Properties of Quantum Field Theory (World Scientific,
1993)
F. Strocchi, An Introduction to the Mathematical Structure of Quantum Mechanics, 2nd ed., Second
Expanded Printing (World Scientific, 2010)
281
L. Felline, A. Ledda, F. Paoli, E. Rossanese, eds., New Directions in Logic and the Philosophy of
Science (College Publications, 2016)
K. Fujikawa, Phys. Rev. D 21, 2848 (1980)
G.S. Guralnik, C.R. Hagen, T.W. Kibble, Broken symmetries and the goldstone theorem, in
Advances in Particle Physics, vol. 2, R.L. Cool, R.E. Marshak eds., (Interscience, New York,
1968)
R. Haag, Nuovo Cimento 25, 1078 (1962)
R. Haag, Local Quantum Physics (Springer, Berlin, 1996)
G. t’ Hooft, How instantons solve the U (1) problem. Phys. Rep. 142, 357 (1986)
R. Jackiw, Topological investigations of quantized gauge theories, in Current Algebra and Anomalies, S.B. Treiman, R. Jackiw, B. Zumino, E. Witten eds., (World Scientific, 1985)
C. Kittel, Quantum Theory of Solids, J (Wiley, New York, 1963)
J. Kogut, L. Susskind, Phys. Rev. D 10, 3468 (1974)
J. Kogut, L. Susskind, Phys. Rev. D 11, 3593 (1975)
J. Löffelholz, G. Morchio, F. Strocchi, Ann. Phys. 250, 367 (1996)
G. Morchio, F. Strocchi, Commun. Math. Phys. 99, 153 (1985)
G. Morchio. F. Strocchi, Ann. Phys. 170, 310 (1986)
G. Morchio, F. Strocchi, J. Math. Phys. 28, 622 (1987a)
G. Morchio, F. Strocchi, J. Math. Phys. 28, 1912 (1987b)
G. Morchio, F. Strocchi, Commun. Math. Phys. 111, 593 (1987c)
G. Morchio, F. Strocchi, Ann. Phys. 185, 241 (1988a)
G. Morchio, F. Strocchi, Invited talk given by the second author at the in IX International Conference
on Mathematical Physics, B. Simon et al. ed., Adam Hilger, 1989 (Swansea(Wales) 1988b)
G. Morchio, F. Strocchi, Boundary terms, long range effects and chiral symmetry breaking, in Fields
and Particles, H. Mitter, W. Schweiger eds., Schladming 1990 (Springer, Berlin, 1991)
G. Morchio, F. Strocchi, Ann. Phys. 324, 2236 (2009)
I. Ojima, Nuclear Phys. B 143, 340 (1978)
G. Sewell, Lett. Math. Phys. 6, 209 (1982)
J. Swieca, Commun. Math. Phys. 4, 1 (1967)
J. Swieca, in Cargese Lectures in Physics, Vol. 4, D. Kastler ed., (Gordon and Breach, New York,
1970)
F. Strocchi, Elements of Quantum Mechanics of Infinite Systems (World Scientific, 1985)
F. Strocchi, Commun. Math. Phys. 56, 57 (1977)
F. Strocchi, Selected Topics on the General Properties of Quantum Field Theory (World Scientific,
1993)
F. Strocchi, An Introduction to the Mathematical Structure of Quantum Mechanics, 2nd ed., Second
Expanded Printing (World Scientific, 2010)