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Gluon confinement, i-particles and BRST soft breaking
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A few issues on gluon confinement are addressed with the help of a renormalizable gauge model obtained by introducing a replica of the Faddeev-Popov action and a soft breaking of the BRST symmetry. Confinement turns out to be encoded in the spectral properties of the corresponding correlation functions. While the propagators of the elementary fields have no interpretation in terms of physical excitations, examples of local composite operators whose two-point correlation functions possess a spectral representation with positive spectral density can be introduced. These composite operators turn out to be left invariant by the BRST transformations, a feature which has strong consequences on their renormalizability properties. Moreover, they display a direct interpretation in terms of i-particles [1], which are the unphysical modes corresponding to a confining propagator of the Gribov type. A possible way to take into account the effects of the Gribov copies is also outlined.
Forward citations
Cited by 5 Pith papers
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On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
A gauge-invariant massive extension of Lorentz-violating Yang-Mills theory is constructed, along with a BRST-invariant refined Gribov-Zwanziger action and its tree-level propagator.
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Background-Equivariant BRST Observables and i-Particle Propagators from an Auxiliary Quartet in SU(3) Yang-Mills
A BRST-exact quartet extended to SU(3) Yang-Mills generates i-particle propagators as off-shell BRST cocycles whose composite two-point function admits a Källén-Lehmann representation with positive real threshold.
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Quark Propagator at one-loop in the Refined Gribov-Zwanziger framework
At one loop in the Refined Gribov-Zwanziger framework, the quark mass function agrees roughly with lattice QCD after fitting the gluon propagator, but the dressing function disagrees in the infrared.
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Finiteness of the Yang-Mills-Chern-Simons action in linear covariant gauges by taking into account gauge copies
Adding Gribov-copy removal and condensates to three-dimensional Yang-Mills-Chern-Simons theory in linear covariant gauges leaves the theory finite at all orders.
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Pathways to Real Composite Operators from Non-Hermitian Fermions
In a BRST-symmetric theory with non-Hermitian fermion mass matrix, the one-loop contribution to the φ†φ two-point function becomes real for real external momentum after removing the i factor from the e^{iS} normalizat...
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