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- W1970679908 abstract "Conjectures on the response of currents and the stress-energy tensor to variations of external gravitational fields have led to important statements about equal-time commutators (ETC's). We consider the case where only ${g}_{00}$ is varied and prove that those conjectures are required by the general covariance of tensor fields. Although currents are known to be limits of nonlocal expressions, these limits may be taken before we vary ${g}_{00}$, and our theorem is applicable. However, physical properties of the vacuum preclude ${T}^{mathrm{ij}}$ from behaving this way. To resolve this inconsistency, we conjecture that ${T}^{ensuremath{mu}ensuremath{nu}}$ is the limit of a nonlocal expression. (A reformulation of Lagrangian field theory may be necessary.) We also discuss possible difficulties arising in the derivation of the ETC's using Schwinger's variational method, and show that our theorem ensures that these difficulties are not present for ETC's of ${T}^{00}$ with tensor fields." @default.
- W1970679908 created "2016-06-24" @default.
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- W1970679908 date "1969-06-25" @default.
- W1970679908 modified "2023-09-26" @default.
- W1970679908 title "Response to the Variation of an External Gravitational Field and Its Implications for Equal-Time Commutators" @default.
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- W1970679908 doi "https://doi.org/10.1103/physrev.182.1403" @default.
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