Leading Large N Modification of QCD_2 on a Cylinder by Dynamical Fermions

Abstract

We consider 2-dimensional QCD on a cylinder, where space is a circle. We find the ground state of the system in case of massless quarks in a $1/N$ expansion. We find that coupling to fermions nontrivially modifies the large $N$ saddle point of the gauge theory due to the phenomenon of `decompactification' of eigenvalues of the gauge field. We calculate the vacuum energy and the vacuum expectation value of the Wilson loop operator both of which show a nontrivial dependence on the number of quarks flavours at the leading order in $1/N$.

24 pages, TIFR-TH-94/36

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Cited by in corpus (7)

• Closed formula for Wilson loops for $SU(N)$ Quantum Yang-Mills Theory in two dimensions
• Decompactification of space or time in large N QCD_2
• On Eigenvalue Decompactification in QCD${}_{1+1}$
• Quantum Mechanics of Dynamical Zero Mode in $QC{D}_{1+1}$ on the Light-Cone
• Supergrassmannian and large N limit of quantum field theory with bosons and fermions
• Classical integrability of chiral $QC{D}_2$ and classical curves
• On two dimensional coupled bosons and fermions