Quantum Theory of Gauge Fields with Gauge Covariance
Project/Area Number  08640344 
Research Category 
GrantinAid for Scientific Research (C)

Section  一般 
Research Field 
素粒子・核・宇宙線

Research Institution  Yamagata University 
Principal Investigator 
ENDO Ryusuke Yamagata Univ., Faculty of Science, Assistant Prof., 理学部, 助教授 (90183756)

Project Fiscal Year 
1996 – 1998

Project Status 
Completed(Fiscal Year 1998)

Budget Amount *help 
¥2,200,000 (Direct Cost : ¥2,200,000)
Fiscal Year 1998 : ¥300,000 (Direct Cost : ¥300,000)
Fiscal Year 1997 : ¥400,000 (Direct Cost : ¥400,000)
Fiscal Year 1996 : ¥1,500,000 (Direct Cost : ¥1,500,000)

Keywords  guageon formalism / BRST symmetry / supergravity / RaritaSchwinger field / antisymmetric tensor guage field / guage invariant Hilbert space / KugoOjima formalism / BRST algebra / ゲージオン形式 / BRST対称性 / 超重力 / RaritaSchwinger場 / 反対称テンソルゲージ場 / ゲージ不変なヒルベルト空間 / 九後・小嶋形式 / BRST代数 / ダイポールゴースト / Froissart模型 / 中西の定理 / RontaSdnvingor場 
Research Abstract 
In the standard formalism of quantized gauge theories, we cannot consider the quantum gauge freedom. The gaugeon formalism provides a wider framework which realize the gauge covariance on the quantum level. This formalism is known so far applicable to the electrodynamics and the YangMills theory. The aim of the present research is to apply the formalism to other types of gauge fields and to clarify the quantum gauge structure of the theory. We have the following results : (a) In the theory with BRST symmetry for the gaugeon fields (corresponding to the quantum gauge freedom), we can define the physical Hilbert space which is invariant under the quantum gauge transformation. This space can be seen to be isomorphic to the Hilbert space of the standard KugoOjima formalism with an arbitrary valued gauge fixing parameter. (b) We have introduced gaugeon fields for the antisymmetric tensor gauge fields. We should be careful to treat this kind of fields since FP ghost fields and gaugeon fields themselves are also gauge fields. In the case of rank2 antisymmetric tensor gauge field, the gaugeon fields becomes a vector gauge field, which decouples to the tensor gauge fields in the Landau gauge. We have carried out the BRST quantization of the vector gaugeon field, and clarified the properties of the FP ghosts and gaugeons for the vector gaugeon field. (c) The gravitino in the supergravity can be considered as a spin3/2 RaritaSchwinger gauge field. We have provided the gaugeon formalism for the spin3/2 gauge field and defined the gauge invariant physical Hilbert space of the theory.

Report
(5results)
Research Output
(6results)