Abstract
The relation between symmetries and anomalies is discussed, with particular emphasis on the rôle of the group action. The action of the full gauge group on the space of gauge potentials is investigated in connection with chiral anomalies in gauge theories. This allows the treatment of all gauge anomalies within the framework of the Atiyah-Singer Index Theorems.
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References
J. Steinberger: Phys. Rev. 76, 1180 (1949)
S.L. Adler: Phys. Rev. 177, 2426 (1969); J.S. Bell and R. Jackiw: Nuovo Cimento A60, 47 (1969); W.A. Bardeen: Phys. Rev. 184, 1848 (1969)
H. Römer: In Differential Geometric Methods in Theoretical Physics, ed. by H.D. Doebner, Lecture Notes in Physics 139 (Springer, Berlin, Heidelberg 1978); R. Stora: In Non-Perturbative Methods, ed. by S. Narrison (World Scientific, Singapore 1985); B. Zumino: In Relativity, Groups and Topology II, Les Houches (North Holland, Amsterdam 1983); H. Leutwyler: In The Fundamental Interaction, ed. by J. Debrus and A.C. Hirshfeld ( Plenum Press, New York, London 1988 )
M.F. Atiyah and I.M. Singer: Proc. Nat. Acad. Sci. USA 81, 2597 (1984); I. M. Singer: Société Mathématique de Prance, Astérisque 323 (1985)
L.D. Faddeev and S.L. Shatashvili: Theor. Math. Phys. 60, 770 (1985); K. Fujikawa: Phys. Rev. D21, 2848 (1980); A.Yu. Morozov: Sov. Phys. Usp. Zg. 11 (1986); J. Sidenius: preprint NORDITA-85/33; L. Alvarez-Gaume: preprint HUTP-85/A092
D. Kastler and R. Stora: preprint CPT-86 (1985); M. Dubois-Violette: preprint Orsay LPTHE-86-12; L. Bonora, P. Cotta-Ramusino, M. Rinaldi and J. Stasheff: Comm. Math. Phys. 112, 237 (1987); Comm. Math. Phys. 114, 381 (1988)
A. Heil, N.A. Papadopoulos, B. Reifenhäuser and F. Scheck: Nucl. Phys. B293, 445 (1987); A. Heil, A. Kersch, N;A. Papadopoulos, B. Reifenhäuser, F. Scheck and H. Vogel: Jour. Geom. Phys. 6.2, 237 (1989); F. Scheck: “Geometrical Approaches to Particle Physics”, Mainz preprint (1990)
A. Heil, A. Kersch, N.A. Papadopoulos, B. Reifenhäuser and F. Scheck: Ann. Phys. (New York) 206, 200 (1990)
A. Heil, A. Kersch, N.A. Papadopoulos, B. Reifenhäuser and F. Scheck: “Structure of the space of reducible Yang-Mills potentials”, Mainz preprint (1990)
M.F. Atiyah and I.M. Singer: Ann. Math. 87, 484 (1968); Ann. Math. 87, 546 (1968); Ann. Math. 92, 139 (1970)
A. Kersch: “Anomalien im Rahmen des Indextheorems”, Diss. Mainz (1990)
E. Binz, J. Sniatycki and H. Fischer: Geometry of Classical Fields, North Holland Mathematics Studies 154 ( North Holland, Amsterdam 1988 )
M.F. Atiyah: Scuola Normale Superiore, Pisa (1979); Lecture Notes in Physics 208 (Springer, Berlin, Heidelberg 1984 )
G.E. Bredon: Introduction to Compact Transformation Groups ( Academic Press, New York 1972 );
K. Jänich, Lecture Notes in Mathematics 59 ( Springer, Berlin, Heidelberg 1968 )
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© 1991 Springer-Verlag Berlin Heidelberg
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Papadopoulos, N.A. (1991). The Rôle of Stratification in Anomalies. In: Debrus, J., Hirshfeld, A.C. (eds) Geometry and Theoretical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76353-3_7
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DOI: https://doi.org/10.1007/978-3-642-76353-3_7
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