Gauge invariance in quantum hadrodynamics

Details Gauge invariance in quantum hadrodynamics Gauge invariance in quantum hadrodynamics

1998-12-02

arxiv.org/abs/nucl-th/9812010v1

Phys.Rev. C59 (1999) 2301-2304

Physics

Nuclear Physics

Nuclear Theory

11 pages

Scientific paper

10.1103/PhysRevC.59.2301

This paper describes the derivation of a new representation of an $SU(2)_L \times SU(2)_R$ locally-invariant model of the strong interactions called quantum hadrodynamics 3 (QHD-III). QHD-III is a gauge-invariant theory based on the linear $\sigma$ model, the gauge bosons being the $\rho$ and the $a_1$. The new representation considerably simplifies the lagrangian. To derive the new representation, the gauge invariance of the model is exploited. The role of the gauge boson masses in gauge-invariant models of the strong interactions based on the $\sigma$ model is also discussed, and it is shown that these masses are necessary if the pion is to survive as a physical field.

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