Action principle for a relativistic string in an external scalar field
説明
This Lagrangian has general covariance with respect to a-v co-ordinate transformations on the world sheet and therefore leads to the existence of constraint equations among canonical variables. These constraints are equivalent to Virasoro's on-shell subsidiary conditions. I t is now of great interests whether such arguments can be extended to interacting strings. ADEMOLLO et al. (7) considered the interaction with an external photonlike field. In this note we discuss the interaction with an external scalar field r Our approach is based on the geometrical meaning of (1). We suppose that, owing to the presence of an external field r the geometry of the world sheet is distorted from the free case. We assume that the distorted geometry is described by the metric tensor (~ whose relation to the free metric G is
収録刊行物
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- Lettere al Nuovo Cimento
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Lettere al Nuovo Cimento 10 265-269, 1974-06-01
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