Quantum sine-Gordon equation as the massive Thirring model

作者: Sidney Coleman

DOI: 10.1103/PHYSREVD.11.2088

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摘要: The sine-Gordon equation is the theory of a massless scalar field in one space and time dimension with interaction density proportional to $cos\ensuremath{\beta}\ensuremath{\phi}$, where $\ensuremath{\beta}$ real parameter. I show that if ${\ensuremath{\beta}}^{2}$ exceeds $8\ensuremath{\pi}$, energy unbounded below; equals $4\ensuremath{\pi}$, equivalent zero-charge sector free massive Fermi field; for other values $\ensuremath{\beta}$, Thirring model. soliton identified fundamental fermion

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