Breaking conformal invariance- Large N Chern-Simons theory coupled to massive fundamental fermions

Abstract

We analyze the theory of massive fermions in the fundamental representation coupled to a U(N) Chern-Simons gauge theory at level K. It is done in the large N, large K limits where λ=N/K is kept fixed. Following arXiv:1110.4386 we obtain the solution of a Schwinger-Dyson equation for the two point function, the exact expression for the fermion propagator and the partition function at finite temperature. We prove that in the large K limit there exists an infinite set of classically conserved high spin currents also when a mass is introduced, breaking the conformal invariance. In analogy to the seminal work of 't Hooft on two dimensional QCD, we write down a Bethe-Salpeter equation for the wave function of a "quark anti-quark" bound state. We show that unlike the two dimensional QCD case, the three dimensional Chern-Simons theory does not admit a confining spectrum.

17 pages,2 figures, comments and acknowledgements added

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Cited by in corpus (7)

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• Chern Simons Bosonization along RG Flows
• Poles in the $S$-Matrix of Relativistic Chern-Simons Matter theories from Quantum Mechanics
• Scattering Amplitude and Bosonization Duality in General Chern-Simons Vector Models
• A Note on Large N Thermal Free Energy in Supersymmetric Chern-Simons Vector Models
• Large N Chern-Simons with massive fundamental fermions - A model with no bound states
• On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter