The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Effective field equations for expectation values
Abstract
We discuss functional methods which allow calculation of expectation values, rather than the usual in-out amplitudes, from a path integral. The technique, based on Schwinger's idea of summing over paths which go from the past to the future and then back to the past, provides effective field equations satisfied by the expectation value of the field. These equations are shown to be real and causal for a general theory up to two-loop order, and unitarity is checked to this order. These methods are applied to a simple quantum-mechanical example to illustrate the differences between the new formalism and the standard theory. When applied to the gravitational field, the new effective field equations should be useful for studies of quantum cosmology.
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Cites
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Effective action in quantum gravity
Vilkovisky, G. A. (1992) · Classical and Quantum Gravity · doi:10.1088/0264-9381/9/4/008 · Cited by 990
Deser, S., & Woodard, R. P. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.111301 · Cited by 425
Super-acceleration from massless, minimally coupled $\phi$4
Onemli, V. K., & Woodard, R. P. (2002) · Classical and Quantum Gravity · doi:10.1088/0264-9381/19/17/311 · Cited by 386
Does back reaction enforce the averaged null energy condition in semiclassical gravity?
Flanagan, E. E., & Wald, R. M. (1996) · Physical Review D · doi:10.1103/physrevd.54.6233 · Cited by 352
Stochastic quantum gravitational inflation
Tsamis, N. C., & Woodard, R. P. (2005) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2005.06.031 · Cited by 270
Metadata
- Authors
- Jordan, R. D.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1986-01-15
- Volume
- 33
- Issue
- 2
- Pages
- 444-454
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2113006325
- Cited by
- 431
- References
- 13
- FWCI
- 3.21
- Type
- journal article
- Language
- en
- Open access
- closed
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