## Lectures on gauge invariance and mass of vector bosons |

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2-dimension 5-function singularity account the singularities ALLADI RAMAKRISHNAN BOSONS commutation relation conservation law Coulomb gauge current conservation derive dimensional discussion Edited By ALLADI electromagnetic field energy equation of motion Feynman rules finite mass free field free spinor function gauge groups gauge invariance gauge transformation Hence interaction introduce INVARIANCE AND MASS Johnson's proof K. R. Unni Lagranglan density LECTURES ON GAUGE Lie groups limiting orocess look covariant Lorentz transformations MASS OF VECTOR MATSCIENCE REPORTS MATSCIENCE SYMPOSIA Maxwell's equations meson is zero N. R. RANGANATHAN Noether's theorem number of parameters ohysical mass operator perturbation theory photon self-energy physical mass positivity of spectrum quantum electrodynamics quantum mechanical relativistic scalar field scalar particle Schwinger criterion Schwinger model second kind space like direction space-time spinor field spurious self-energy term Stueckleberg sum rule theory with finite total Lagrangian transverse vacuum expectation value valid vector field vector meson theory Venkatesan write zero mass particle