Canonical Flow in the Space of Gauge Parameters

Abstract

Gauge dependence of one-particle irreducible (1-PI) amplitudes in SU(N) Yang-Mills theory is shown to be generated by a canonical flow with respect to (w.r.t.) the extended Slavnov-Taylor (ST) identity, induced by the transformation of the gauge parameter under the BRST symmetry. For linear covariant gauges, the analytic expansion in the gauge parameter of 1-PI amplitudes is given in terms of coefficients evaluated in the Landau gauge and of derivatives w.r.t. the gauge parameter of the generating functional of the flow. An application to the gauge flow of the gluon propagator is considered.

arXiv comment13 pages. To appear in Theoretical and Mathematical Physics

References in corpus (22)

• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• Local BRST cohomology in gauge theories
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• On the infrared behavior of Landau gauge Yang-Mills theory
• Pinch Technique: Theory and Applications
• Antibracket, Antifields and Gauge-Theory Quantization
• The Nielsen Identities of the SM and the definition of mass
• Effective Hamiltonian for QCD evolution at high energy
• Stability and renormalization of Yang-Mills theory with Background Field Method: a regularization independent proof
• Renormalization of Non-Semisimple Gauge Models with the Background Field Method
• Indirect determination of the Kugo-Ojima function from lattice data
• On the Landau Background Gauge Fixing and the IR Properties of YM Green Functions
• Further comments on the background field method and gauge invariant effective actions
• Algebraic Properties of BRST Coupled Doublets
• Algebraic Aspects of the Background Field Method
• The Background Field Method as a Canonical Transformation
• AntiBRST symmetry and Background Field Method
• Slavnov-Taylor constraints for non-trivial backgrounds
• Canonical Transformations and Renormalization Group Invariance in the presence of Non-trivial Backgrounds

Cited by in corpus (5)

• Yang-Mills two-point functions in linear covariant gauges
• Landau-Khalatnikov-Fradkin Transformations, Nielsen Identities, Their Equivalence and Implications for QCD
• Ward identities and gauge flow for M-theory in $\mathcal{N}=3$ superspace
• Ward identities and gauge independence in general chiral gauge theories
• Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator