TY - JOUR

T1 - Breaking conformal invariance - Large N Chern-Simons theory coupled to massive fundamental fermions

AU - Frishman, Yitzhak

AU - Sonnenschein, Jacob

PY - 2013/12

Y1 - 2013/12

N2 - 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 [1] 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.

AB - 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 [1] 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.

KW - 1/N expansion

KW - Chern-Simons theories

KW - Field theories in lower dimensions

KW - Nonperturbative effects

UR - http://www.scopus.com/inward/record.url?scp=84893857293&partnerID=8YFLogxK

U2 - 10.1007/JHEP12(2013)091

DO - 10.1007/JHEP12(2013)091

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AN - SCOPUS:84893857293

SN - 1126-6708

VL - 2013

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 12

M1 - 91

ER -