Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-05-03
Nucl.Phys. B699 (2004) 427-452
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, 3 figures
Scientific paper
10.1016/j.nuclphysb.2004.08.028
We show that the lightcone worldsheet formalism, constructed to represent the sum of the bare planar diagrams of scalar \phi^3 field theory, survives the renormalization procedure in space-time dimensions D not greater than 6. Specifically this means that all the counter-terms, necessary to produce a successful renormalized perturbation expansion to all orders, can be represented as local terms in the lightcone worldsheet action. Because the worldsheet regulator breaks Lorentz invariance, we find the need for two non-covariant counter-terms, in addition to the usual mass, coupling and wave function renormalization. One of these can be simply interpreted as a rescaling of transverse coordinates with respect to longitudinal coordinates. The second one introduces couplings between the matter and ghost worldsheet fields on the boundaries.
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