The Spectrum of multiflavor QCD in two-dimensions and the nonAbelian Schwinger equation

May, 1998
16 pages
Published in:
  • Nucl.Phys.B 537 (1999) 503-515
e-Print:
Report number:
  • TAUP-2500-98,
  • WIS-98-13-DPP,
  • WIS-98-13-MAY-DPP

Citations per year

199820042010201620222104
Abstract:
Massless QCD2QCD_2 is dominated by classical configurations in the large NfN_f limit. We use this observation to study the theory by finding solutions to equations of motion, which are the non-Abelian generalization of the Schwinger equation. We find that the spectrum consists of massive mesons with M2=e2Nf2πM^2={e^2 N_f\over 2\pi} which correspond to Abelian solutions. We generalize previously discovered non-Abelian solutions and discuss their interpretation. We prove a no-go theorem ruling out the existence of soliton solutions. Thus the semi-classical approximation shows no baryons in the case of massless quarks, a result derived before in the strong-coupling limit only.
Note:
  • 17 pages, Latex. 1 figure
  • 12.38.Aw
  • 11.10.Kk
  • QCD
  • Multi-flavor
  • Mesons
  • Quarks
  • gauge field theory: SU(N)
  • dimension: 2
  • tensor: energy-momentum
  • meson: mass spectrum