Constructs a manifestly diagonal-BRST-invariant Schwinger-Keldysh path integral for open non-Abelian gauge theories with arbitrary physical initial states, yielding Ward-Takahashi-Slavnov-Taylor identities and a Keldysh BRST symmetry for the Open EFT.
A local and BRST-invariant Yang-Mills theory within the Gribov horizon
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abstract
We present a local setup for the recently introduced BRST-invariant formulation of Yang-Mills theories for linear covariant gauges that takes into account the existence of gauge copies \`a la Gribov and Zwanziger. Through the convenient use of auxiliary fields, including one of the Stueckelberg type, it is shown that both the action and the associated nilpotent BRST operator can be put in local form. Direct consequences of this fully local and BRST-symmetric framework are drawn from its Ward identities: (i) an exact prediction for the longitudinal part of the gluon propagator in linear covariant gauges that is compatible with recent lattice results and (ii) a proof of the gauge-parameter independence of all correlation functions of local BRST-invariant operators.
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UNVERDICTED 2representative citing papers
In 3D Yang-Mills-Chern-Simons-Higgs theory the Gribov parameter fixed via gap equation reveals a confining phase with complex poles and a deconfined phase with physical gluon excitations.
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Schwinger-Keldysh Path Integral for Gauge theories
Constructs a manifestly diagonal-BRST-invariant Schwinger-Keldysh path integral for open non-Abelian gauge theories with arbitrary physical initial states, yielding Ward-Takahashi-Slavnov-Taylor identities and a Keldysh BRST symmetry for the Open EFT.
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Charting the different phases of Yang-Mills-Chern-Simons-Higgs theories
In 3D Yang-Mills-Chern-Simons-Higgs theory the Gribov parameter fixed via gap equation reveals a confining phase with complex poles and a deconfined phase with physical gluon excitations.