Plasmons, Gauge Invariance, and Mass
- 1 April 1963
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 130 (1), 439-442
- https://doi.org/10.1103/physrev.130.439
Abstract
Schwinger has pointed out that the Yang-Mills vector boson implied by associating a generalized gauge transformation with a conservation law (of baryonic charge, for instance) does not necessarily have zero mass, if a certain criterion on the vacuum fluctuations of the generalized current is satisfied. We show that the theory of plasma oscillations is a simple nonrelativistic example exhibiting all of the features of Schwinger's idea. It is also shown that Schwinger's criterion that the vector field implies that the matter spectrum before including the Yang-Mills interaction contains , but that the example of superconductivity illustrates that the physical spectrum need not. Some comments on the relationship between these ideas and the zero-mass difficulty in theories with broken symmetries are given.
Keywords
This publication has 12 references indexed in Scilit:
- Broken SymmetriesPhysical Review B, 1962
- Gauge Invariance and MassPhysical Review B, 1962
- Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. IPhysical Review B, 1961
- Field theories with « Superconductor » solutionsIl Nuovo Cimento (1869-1876), 1961
- Theory of strong interactionsAnnals of Physics, 1960
- Quasi-Particles and Gauge Invariance in the Theory of SuperconductivityPhysical Review B, 1960
- Coherent Excited States in the Theory of Superconductivity: Gauge Invariance and the Meissner EffectPhysical Review B, 1958
- Electron Interaction in Solids. General FormulationPhysical Review B, 1958
- Conservation of Heavy Particles and Generalized Gauge TransformationsPhysical Review B, 1955
- V. On the vibrations and stability of a gravitating planetPhilosophical Transactions of the Royal Society A, 1903