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.

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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 -