書誌事項
- 公開日
- 1976-06-15
- 権利情報
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- http://link.aps.org/licenses/aps-default-license
- DOI
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- 10.1103/physrevd.13.3469
- 公開者
- American Physical Society (APS)
この論文をさがす
説明
The gauge dependence of the effective action $\ensuremath{\Gamma}$ and potential $V$ are studied in general gauge theories. Explicit expressions which manifest all the gauge dependences of $\ensuremath{\Gamma}$ and $V$ are obtained. From these equations, it is concluded that $\ensuremath{\Gamma}$ (or $V$) has gauge-invariant values for any solution of the Euler-Lagrange equation $\frac{\ensuremath{\delta}\ensuremath{\Gamma}}{\ensuremath{\delta}\ensuremath{\varphi}}=0$ (or $\frac{\ensuremath{\partial}V}{\ensuremath{\partial}\ensuremath{\varphi}}=0$) Introduction of a certain concept about the categories of gauge conditions resolves the appearance of a gauge-dependent unphysical "vacuum." Any gauge can be used to calculate $\ensuremath{\Gamma}$. A wide class of gauges are allowed for the effective potential $V$; for instance, in scalar QED the allowed gauges are $\ensuremath{-}(\frac{1}{2}\ensuremath{\alpha}){(\ensuremath{\partial}A)}^{2}$, $\ensuremath{-}(\frac{1}{2}\ensuremath{\alpha}){(\ensuremath{\partial}A\ensuremath{-}v{\ensuremath{\Phi}}_{2})}^{2}$ (where the direction of condensation is restricted to ${\ensuremath{\Phi}}_{1}$), the Coulomb gauge, and the axial gauge. In particular the ${R}_{\ensuremath{\xi}}$ gauge is also an allowed gauge.
収録刊行物
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- Physical Review D
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Physical Review D 13 (12), 3469-3484, 1976-06-15
American Physical Society (APS)
