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 Relative Articles Gauge Independence in terms of the Functional Integral A Note on Invariant Measure on the Local Gauge Group A Note on the Gauge Group of the Electroweak Interactions Some Problems Concerning Interchange of Order of Integration in Functional Integral Formalism of U(1) Gauge Field Theories SU(2) WZNW Model at Higher Genera from Gauge Field Functional Integral Slave Bosons in Radial Gauge: the Correct Functional Integral Representation and Inclusion of Non-Local Interactions Some Problems in Defining Functional Integration over the Gauge Group A note on discrete fractional integral operators on the Heisenberg group A note on a gauge-gravity relation and functional determinants Localization and Diagonalization: A review of functional integral techniques for low-dimensional gauge theories and topological field theories More...
Physics  2001

# A Note on Functional Integral over the Local Gauge Group

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Abstract:

We evaluated some particular type of functional integral over the local gauge group C^{\infty}({\bf R}^n, U(1)) by going to a discretized lattice. The results explicitly violates the property of the Haar measure. We also analysed the Faddeev-Popov method through a toy example. The results also violates the property of the Haar measure.

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