Published May 7, 1973
| Published
Journal Article
Open
Griffiths-Hurst-Sherman Inequalities and a Lee-Yang Therorem for the(ϕ^4)_2 Field Theory
- Creators
-
Simon, Barry
- Griffiths, Robert B.
Abstract
The Griffiths-Hurst-Sherman inequalities and the Lee-Yang zero theorem in the theory of Ising ferromagnets are shown to hold in a two-dimensional self-coupled Bose quantume field theory with interaction: aϕ^4 + bϕ^2 − μϕ:. Applications include the continuity of the infinite-volume "magnetization," ⟨ϕ(0)⟩, away from μ = 0. Our results should carry over to three or four dimensions once it is known how to control the ultraviolet divergences in these theories.
Additional Information
© 1973 American Physical Society. (Received 19 March 1973) We should like to thank Professor J. Lebowitz and Professor E. Lieb for valuable discussions. In addition, one of us (B.S.) would like to thank Professor N. Kuiper for the hospitality shown him while a visitor at the Institut des Haute Etudes Scientifique, and Professor A. Visconti for the hospitality of the Centre National de la Recherche Scientifique. The other (R.B.G.) is grateful for the hospitality of the Cornell Chemistry Department.Attached Files
Published - PhysRevLett.30.931.pdf
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PhysRevLett.30.931.pdf
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Additional details
- Eprint ID
- 85913
- Resolver ID
- CaltechAUTHORS:20180417-154000112
- Alfred P. Sloan Foundation
- John Simon Guggenheim Foundation
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2018-04-19Created from EPrint's datestamp field
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2021-11-15Created from EPrint's last_modified field