### Abstract

A stochastic argument shows that the Faddeev-Popov formula in the Landau gauge may be modified by insertion of a factor χ(A) which is zero if A has a Gribov copy of smaller norm, ∫ d^{4} x A^{2}, and is one otherwise. This provides a probability distribution P(A) which is positive P(A) {slanted equal to or greater-than} 0 and Lorentz invariant. The resulting distribution is concentrated on points where ∂ · D(A) has no negative eigenvalues. It is suggested that tr ln[∂ · D(A)/∂^{2}] acts like an entropy which may shift the system to a non-perturbative phase.

Original language | English (US) |
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Pages (from-to) | 337-339 |

Number of pages | 3 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 114 |

Issue number | 5 |

DOIs | |

State | Published - Aug 5 1982 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Non-perturbative modification of the Faddeev-Popov formula.** / Zwanziger, Daniel.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 114, no. 5, pp. 337-339. https://doi.org/10.1016/0370-2693(82)90357-4

}

TY - JOUR

T1 - Non-perturbative modification of the Faddeev-Popov formula

AU - Zwanziger, Daniel

PY - 1982/8/5

Y1 - 1982/8/5

N2 - A stochastic argument shows that the Faddeev-Popov formula in the Landau gauge may be modified by insertion of a factor χ(A) which is zero if A has a Gribov copy of smaller norm, ∫ d4 x A2, and is one otherwise. This provides a probability distribution P(A) which is positive P(A) {slanted equal to or greater-than} 0 and Lorentz invariant. The resulting distribution is concentrated on points where ∂ · D(A) has no negative eigenvalues. It is suggested that tr ln[∂ · D(A)/∂2] acts like an entropy which may shift the system to a non-perturbative phase.

AB - A stochastic argument shows that the Faddeev-Popov formula in the Landau gauge may be modified by insertion of a factor χ(A) which is zero if A has a Gribov copy of smaller norm, ∫ d4 x A2, and is one otherwise. This provides a probability distribution P(A) which is positive P(A) {slanted equal to or greater-than} 0 and Lorentz invariant. The resulting distribution is concentrated on points where ∂ · D(A) has no negative eigenvalues. It is suggested that tr ln[∂ · D(A)/∂2] acts like an entropy which may shift the system to a non-perturbative phase.

UR - http://www.scopus.com/inward/record.url?scp=0002218391&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002218391&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(82)90357-4

DO - 10.1016/0370-2693(82)90357-4

M3 - Article

AN - SCOPUS:0002218391

VL - 114

SP - 337

EP - 339

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 5

ER -