Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C<SUP>∞</SUP>(M,G)

SUN Wei-min; CHEN Xiang-song; WANG Fan

doi:10.11804/NuclPhysRev.18.04.274

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Article Navigation > Nuclear Physics Review > 2001 > 18(4): 274-275

SUN Wei-min, CHEN Xiang-song, WANG Fan. Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C∞(M,G)[J]. Nuclear Physics Review, 2001, 18(4): 274-275. doi: 10.11804/NuclPhysRev.18.04.274

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SUN Wei-min, CHEN Xiang-song, WANG Fan. Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C^∞(M,G)[J]. Nuclear Physics Review, 2001, 18(4): 274-275. doi: 10.11804/NuclPhysRev.18.04.274

Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C^∞(M,G)

doi: 10.11804/NuclPhysRev.18.04.274

(Department of Physics and Center of Theoretical Physics; Nanjing University; Nanjing 210093; China);

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2001-12-20

Abstract

In is proved that on the local gauge group C ∞ (M,G) ( M a compact manifold and G a matrix Lie group) there does not exist a finite positive invariant measure.
- Faddeev-Popov method,
- local gauge group,
- invariant measure
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C^∞(M,G)

doi: 10.11804/NuclPhysRev.18.04.274

(Department of Physics and Center of Theoretical Physics; Nanjing University; Nanjing 210093; China);

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2001-12-20

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Abstract: In is proved that on the local gauge group C ∞ (M,G) ( M a compact manifold and G a matrix Lie group) there does not exist a finite positive invariant measure.

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Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C∞(M,G)

doi: 10.11804/NuclPhysRev.18.04.274

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通讯作者: 陈斌, bchen63@163.com

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Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C∞(M,G)

doi: 10.11804/NuclPhysRev.18.04.274

(Department of Physics and Center of Theoretical Physics; Nanjing University; Nanjing 210093; China);

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Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C^∞(M,G)

Nonexistence of Finite Positive Invariant Measure on Local Gauge Group C^∞(M,G)