Local gauge invariance implies Siegert’s hypothesis
Autor: | H. W. L. Naus |
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Rok vydání: | 1997 |
Předmět: |
Physics
Nuclear and High Energy Physics Introduction to gauge theory Gauge boson Current (mathematics) Nuclear Theory High Energy Physics::Lattice High Energy Physics::Phenomenology FOS: Physical sciences Charge (physics) Nuclear Theory (nucl-th) Theory of relativity Quantum mechanics Isospin Limit (mathematics) Gauge theory Mathematical physics |
Zdroj: | Physical Review C. 55:1580-1582 |
ISSN: | 1089-490X 0556-2813 |
DOI: | 10.1103/physrevc.55.1580 |
Popis: | The nonrelativistic Ward-Takahashi identity, a consequence of local gauge invariance in quantum mechanics, shows the necessity of exchange current contributions in case of nonlocal and/or isospin-dependent potentials. It also implies Siegert's hypothesis: in the nonrelativistic limit, two-body charge densities identically vanish. Neither current conservation, which follows from global gauge invariance, nor the constraints of (lowest order) relativity are sufficient to arrive at this result. Furthermore, a low-energy theorem for exchange contributions is established. Comment: 5 pages, REVTEX |
Databáze: | OpenAIRE |
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