1989 Fiscal Year Final Research Report Summary
GEOMETRIC APPROACH TO QUANTUM ANOMALIES.
| Project/Area Number |
63540229
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
核・宇宙線・素粒子
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| Research Institution | Toyota Technological Institute |
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Principal Investigator |
KITAKADO Shinsaku Toyota Technological Institute, Faculty of Engng, Prof., 工学部, 教授 (20027345)
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| Co-Investigator(Kenkyū-buntansha) |
OHNUKI Yoshio Nagoya Univ. School of Science, Prof., 理学部, 教授 (90022532)
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| Project Period (FY) |
1988 – 1989
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| Keywords | quantum anomaly / Wess-Zumino model / BRST-quantization / Chern-Simons term / topological field theory / anomalous commutator |
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| Research Abstract |
Anomalous gauge theories considered as constrained systems are investigated. The effects of chiral anomaly on the canonical structure are examined first for nonlinear sigma-model and later for fermionic theory. The breakdown of Gauss law constraints and the anomalous commutators among them are studied in a systematic way.
An intrinsic mass term for gauge fields makes it possible to solve the Gauss law relations as second class constraints and to quantize the system A la Dirac. Based upon the Ward-Takahashi identities for gauge symmetry, we investigate anomalous fermionic theory within the framework of path integral approach.
As a second topic, we have BRST-quantized the topological Yang-Mills theory in four dimensions and the topological sigma-model in two dimensions, using the generalized Hamiltonian formalism developed by Batalin, Fradkin and Vilkovisky.
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