Gauge invariance in quantum hadrodynamics

Abstract

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.

11 pages

References in corpus (1)

• One loop corrections to quantum hadrodynamics with vector mesons

Cited by in corpus (2)

• Electromagnetic interaction in chiral quantum hadrodynamics and decay of vector and axial-vector mesons
• Meson-Meson Interactions and Resonances in the 't Hooft Model