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.
Gluon confinement, i-particles and BRST soft breaking
2 Pith papers cite this work, alongside 46 external citations. Polarity classification is still indexing.
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abstract
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.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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} normalization, due to conjugate pole pairing.
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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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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} normalization, due to conjugate pole pairing.