Noether Identities at the Quantum Level

LI Zi-Ping

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2024年10月30日

Chinese Physics C> 2002, Vol. 26> Issue(3) : 230-238

Noether Identities at the Quantum Level

LI Zi-Ping ^,

College of Applied Science, Beijing Polytechnic University, Beijing 100022, China

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Abstract：
Based on the phase-space generating functional of Green function, the canonical Noether identities under the local transformation at the quantum level have been derived. For the gauge-invariant system, the quantal Noether identities in configuration space have been also deduced. It is pointed out that in certain cases the quantal Noether identities may be converted to quantal conservation laws of the system. This method for obtaining the quantal conservation laws is significantly different from the first Noether theorem at the quantum level. The application to non-Abelian CS theories is studied, the quantal conserved BRS and PBRS charges are obtained, and these two conserved charges are totally different.

References

[1]

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LI Zi-Ping. Noether Identities at the Quantum Level[J]. Chinese Physics C, 2002, 26(3): 230-238.

LI Zi-Ping. Noether Identities at the Quantum Level[J]. Chinese Physics C, 2002, 26(3): 230-238. shu

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Received: 2001-05-18
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Noether Identities at the Quantum Level

LI Zi-Ping ^,

Corresponding author: LI Zi-Ping,

College of Applied Science, Beijing Polytechnic University, Beijing 100022, China

Received Date: 2001-05-18
Accepted Date: 1900-01-01
Available Online: 2002-03-05

Abstract: Based on the phase-space generating functional of Green function, the canonical Noether identities under the local transformation at the quantum level have been derived. For the gauge-invariant system, the quantal Noether identities in configuration space have been also deduced. It is pointed out that in certain cases the quantal Noether identities may be converted to quantal conservation laws of the system. This method for obtaining the quantal conservation laws is significantly different from the first Noether theorem at the quantum level. The application to non-Abelian CS theories is studied, the quantal conserved BRS and PBRS charges are obtained, and these two conserved charges are totally different.