### Abstract

It is shown that for a gauge theory with a semisimple Lie group, all gauge orbits intersect a hyperplane in A-space in a convex region Ω which is bounded in every direction. This bounded region is the configuration space of the theory and is the support of the euclidean or Coulomb gauge functional measure. It is shown that the domain of definition of the effective action Γ is Ω, and that it is a real concave function in Ω which approaches +∞ on the boundary of Ω. It is shown that flat and partially flat configurations, including the naive vacuum F(A) = 0, lie on the boundary of Ω and have effective action +∞.

Original language | English (US) |
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Pages (from-to) | 336-348 |

Number of pages | 13 |

Journal | Nuclear Physics, Section B |

Volume | 209 |

Issue number | 2 |

DOIs | |

State | Published - Dec 27 1982 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics, Section B*,

*209*(2), 336-348. https://doi.org/10.1016/0550-3213(82)90260-7

**Non-perturbative modification of the Faddeev-Popov formula and banishment of the naive vacuum.** / Zwanziger, Daniel.

Research output: Contribution to journal › Article

*Nuclear Physics, Section B*, vol. 209, no. 2, pp. 336-348. https://doi.org/10.1016/0550-3213(82)90260-7

}

TY - JOUR

T1 - Non-perturbative modification of the Faddeev-Popov formula and banishment of the naive vacuum

AU - Zwanziger, Daniel

PY - 1982/12/27

Y1 - 1982/12/27

N2 - It is shown that for a gauge theory with a semisimple Lie group, all gauge orbits intersect a hyperplane in A-space in a convex region Ω which is bounded in every direction. This bounded region is the configuration space of the theory and is the support of the euclidean or Coulomb gauge functional measure. It is shown that the domain of definition of the effective action Γ is Ω, and that it is a real concave function in Ω which approaches +∞ on the boundary of Ω. It is shown that flat and partially flat configurations, including the naive vacuum F(A) = 0, lie on the boundary of Ω and have effective action +∞.

AB - It is shown that for a gauge theory with a semisimple Lie group, all gauge orbits intersect a hyperplane in A-space in a convex region Ω which is bounded in every direction. This bounded region is the configuration space of the theory and is the support of the euclidean or Coulomb gauge functional measure. It is shown that the domain of definition of the effective action Γ is Ω, and that it is a real concave function in Ω which approaches +∞ on the boundary of Ω. It is shown that flat and partially flat configurations, including the naive vacuum F(A) = 0, lie on the boundary of Ω and have effective action +∞.

UR - http://www.scopus.com/inward/record.url?scp=0041082931&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041082931&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(82)90260-7

DO - 10.1016/0550-3213(82)90260-7

M3 - Article

VL - 209

SP - 336

EP - 348

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 2

ER -