Complex Chern-Simons and Gribov

Abstract

We explore a contact point between two distinct approaches to the confinment problem. We show that BLG-ABJM like theories generate gauge propagators with just the complex pole structure prescribed by the Gribov scenario for confinemnt. This structure, known as i-particles in Gribov-Zwanziger theories, effectively allows the definition of composite operators with a positive Källén-Lehmann spectral representation for their two-point functions . Then, these operators satisfy the criteria to describe glue-ball condensates. We calculate the (first order) contribution to the two-point function of the gauge invariant condensate in an ABJM environment, showing its interpretation as a physical particle along Källén-Lehmann. In the meantime, we argue for the necessity of absorbing Witten's work on holomorphic complex theories in order to settle the physical interpretation of this non-perturbative scenario.

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References in corpus (28)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• The Physics of Glueballs
• Glueball Spectrum for QCD from AdS Supergravity Duality
• M2 to D2
• On the light glueball spectrum in a holographic description of QCD
• Neutrinos From Particle Decay in the Sun and Earth
• Gribov horizon and i-particles: about a toy model and the construction of physical operators
• An N=1 Superfield Action for M2 branes
• Spinors in euclidean field theory, complex structures and discrete symmetries
• Gluon confinement, i-particles and BRST soft breaking
• On the computation of the spectral density of two-point functions: complex masses, cut rules and beyond
• Ghost sector and geometry in minimal Landau gauge: further constraining the infinite-volume limit
• The Minimal Landau Background Gauge on the Lattice
• The BFKL Pomeron in 2+1 Dimensional QCD
• Unravelling the novel Higgs mechanism in (2+1)d Chern-Simons theories
• Constructing local composite operators for glueball states from a confining Gribov propagator
• Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory
• Supersymmetric Yang-Mills-Chern-Simons theory
• A study of the lightest glueball states in SU(2) Euclidean Yang-Mills theory in the maximal Abelian gauge
• Graded Majorana spinors
• Gribov as a Phase Transition
• N=1 Gribov superfield extension
• Remarks on Gribov mechanism on N=1 Supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory