name

Apoorva Dayaram Patel

refid

17916

email

adpatel@cts.iisc.ernet.in

title

A Derivation of Regge Trajectories in Large-N_c QCD

collaboration

abstract

Large-N_c QCD is analysed in light-front coordinates with a transverse lattice
at strong coupling. The general formalism can be looked up on as a d+n expansion,
with a stack of d-dimensional hypersurfaces uniformly spaced in n-transverse
dimensions. It can arise by application of renormalisation group transformations
only in the transverse directions. At leading order in strong coupling, the
constraint is that only colour singlet states can jump between the hypersurfaces.
This strong coupling d+n expansion has a nonzero radius of convergence, unlike
the asymptotic d+\epsilon expansion based on weak coupling perturbation theory.
With d=2, n=2 and large-N_c, the leading order strong coupling results are simple
renormalisations of those for the 'tHooft model. The meson spectrum lies on a
set of parallel trajectories labeled by spin. This is the first derivation
of the widely anticipated Regge trajectories in a regulated systematic approximation
to QCD. The formalism has wide ranging applications in many branches of physics.

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