Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-01-11
Nucl.Phys. B421 (1994) 263-277
Physics
High Energy Physics
High Energy Physics - Theory
16 pages + 3 figures available upon request, harvmac, EFI-93-69
Scientific paper
10.1016/0550-3213(94)90328-X
Two dimensional QCD coupled to fermions in the adjoint representation of the gauge group $SU(N)$, a useful toy model of QCD strings, is supersymmetric for a certain ratio of quark mass and gauge coupling constant. Here we study the theory in the vicinity of the supersymmetric point; in particular we exhibit the algebraic structure of the model and show that the mass splittings as one moves away from the supersymmetric point obey a universal relation of the form ${M_i}^2(B)-{M_i}^2(F)=M_i\delta m+O(\delta m^3)$. We discuss the connection of this relation to string and quark model expectations and verify it numerically for large $N$. At least for low lying states the $O(\delta m^3)$ corrections are extremely small. We also discuss a natural generalization of QCD$_2$ with an infinite number of couplings, which preserves SUSY. This leads to a Landau -- Ginzburg description of the theory, and may be useful for defining a scaling limit in which smooth worldsheets appear.
Boorstein Joshua
Kutasov David
No associations
LandOfFree
Symmetries and Mass Splittings in QCD$_2$ Coupled to Adjoint Fermions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Symmetries and Mass Splittings in QCD$_2$ Coupled to Adjoint Fermions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetries and Mass Splittings in QCD$_2$ Coupled to Adjoint Fermions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-309228