Induced Operators in QCD

Details Induced Operators in QCD Induced Operators in QCD

2004-10-12

arxiv.org/abs/hep-th/0410144v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages. Talk presented at Light-Cone 2004 at the VU Amsterdam

Scientific paper

10.1007/s00601-004-0098-3

Light-cone quantization always involves the solution of differential constraint equations. The solutions to these equations include integration constants (fields independent of $x_-$). These fields are unphysical but when they are consistently removed from the dynamics, additional operators (induced operators), which would not be present if the integration constants were simply set to zero, are included in the dynamics. These induced operators can be taken to act in the usual light-cone subspace, for instance, the space used for DLCQ. Here, I shall give a derivation of two such operators. The operators are derived starting from the QCD Lagrangian but the derivation involves some guesses. The operators will provide for the linear growth of the pion mass squared with the quark bare mass and for the splitting of the pi and the rho at zero quark mass.

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