On the SL(2,R) symmetry in Yang-Mills Theories in the Landau, Curci-Ferrari and Maximal Abelian Gauge

Abstract

The existence of a SL(2,R) symmetry is discussed in SU(N) Yang-Mills in the maximal Abelian Gauge. This symmetry, also present in the Landau and Curci-Ferrari gauge, ensures the absence of tachyons in the maximal Abelian gauge. In all these gauges, SL(2,R) turns out to be dynamically broken by ghost condensates.

1+15 pages, LaTeX2e, one reference added

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Cited by in corpus (33)

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• On ghost condensation, mass generation and Abelian dominance in the Maximal Abelian Gauge
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• The anomalous dimension of the gluon-ghost mass operator in Yang-Mills theory
• Gluon-ghost condensate of mass dimension 2 in the Curci-Ferrari gauge
• ABJM theory in Batalin-Vilkovisky formulation
• Finite field-dependent symmetries in perturbative quantum gravity
• More on ghost condensation in Yang-Mills theory: BCS versus Overhauser effect and the breakdown of the Nakanishi-Ojima annex SL(2,R) symmetry
• Modified 2D Proca Theory: Revisited Under BRST and (Anti-)Chiral Superfield Formalisms
• Spontaneous Breaking of the BRST Symmetry in the ABJM theory
• Remarks on a class of renormalizable interpolating gauges
• Ghost condensation on the lattice
• Ghost condensates in Yang-Mills theories in the Landau gauge
• Ghost Condensates and Dynamical Breaking of SL(2,R) in Yang-Mills in the Maximal Abelian Gauge
• Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
• Anti-FFBRST Transformations for the BLG Theory in Presence of a Boundary
• The Gribov-Zwanziger action in the presence of the gauge invariant, nonlocal mass operator $Tr\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in the Landau gauge
• Renormalization properties of the mass operator A^2 in three dimensional Yang-Mills theories in the Landau gauge
• A combined study of the gluon and ghost condensates <A^2> and <epsilon^{abc} cbar^b c^c> in Euclidean SU(2) Yang-Mills theory in the Landau gauge
• Boundary Effects in Super-Yang-Mills Theory
• The unphysical nature of the SL(2,R) symmetry and its associated condensates in Yang-Mills theories
• Green's Functions in Perturbative Quantum Gravity
• Noether Theorem and Nilpotency Property of the (Anti-)BRST Charges in the BRST Formalism: A Brief Review
• Nonperturbative ghost dynamics in the maximal Abelian gauge
• Vacuum Condensates of Dimension Two in Pure Euclidean Yang-Mills
• Nilpotent Charges in an Interacting Gauge Theory and an N = 2 SUSY Quantum Mechanical Model: (Anti-)Chiral Superfield Approach
• Nilpotent Symmetries and Curci-Ferrari Type Restrictions in 2D Non-Abelian Gauge Theory: Superfield Approach
• Gauge fixing and BRST formalism in non-Abelian gauge theories
• Some Novel Features in 2D Non-Abelian Theory: BRST Approach
• Superspace Unitary Operator in Superfield Approach to Non-Abelian Gauge Theory with Dirac Fields
• Nilpotent (Anti-)BRST and (Anti-)co-BRST Symmetries in 2D non-Abelian Gauge Theory: Some Novel Observations
• Slavnov-Taylor1.0: A Mathematica package for computation in BRST formalism