Interview in The Hindu (2013)
Context: The improved understanding of the equations of hydrodynamics is general in nature; it applies to all quantum field theories, including those like quantum chromodynamics that are of interest to real world experiments. I think this is a good (though minor) example of the impact of string theory on experiments. At our current stage of understanding of string theory, we can effectively do calculations only in particularly simple — particularly symmetric — theories. But we are able to analyse these theories very completely; do the calculations completely correctly. We can then use these calculations to test various general predictions about the behaviour of all quantum field theories. These expectations sometimes turn out to be incorrect. With the string calculations to guide you can then correct these predictions. The corrected general expectations then apply to all quantum field theories, not just those very symmetric ones that string theory is able to analyse in detail.
“String theory has a close relationship to quantum field theory — indeed in some sense it encompasses all interesting quantum field theories.”
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Michael Green (physicist) 1
British physicist 1946Related quotes
Interview in The Hindu (2013)
Context: The improved understanding of the equations of hydrodynamics is general in nature; it applies to all quantum field theories, including those like quantum chromodynamics that are of interest to real world experiments. I think this is a good (though minor) example of the impact of string theory on experiments. At our current stage of understanding of string theory, we can effectively do calculations only in particularly simple — particularly symmetric — theories. But we are able to analyse these theories very completely; do the calculations completely correctly. We can then use these calculations to test various general predictions about the behaviour of all quantum field theories. These expectations sometimes turn out to be incorrect. With the string calculations to guide you can then correct these predictions. The corrected general expectations then apply to all quantum field theories, not just those very symmetric ones that string theory is able to analyse in detail.
“When you look at a vacuum in a quantum theory of fields, it isn't exactly nothing.”
in video Meet Peter Higgs http://cdsweb.cern.ch/record/1019670 by CERN (July 2004).
[1992, Intersection Theory, Integrable Hierarchies and Topological Field Theory by Robbert Dijkgraaf, Fröhlich J., ’t Hooft G., Jaffe A., Mack G., Mitter P.K., Stora R. (eds.), New Symmetry Principles in Quantum Field Theory, NATO ASI Series (Series B: Physics), vol. 295, 95–158, Springer, Boston, MA, 10.1007/978-1-4615-3472-3_4]
"Einstein and the Search for Unification", p. 10 https://books.google.com/books?id=rEaUIxukvy4C&pg=PA10, in The legacy of Albert Einstein: a collection of essays in celebration of the year of physics (2007)
[The Universe Speaks in Numbers: Robbert Dijkgraaf and Edward Witten in Conversation, 30 May 2019, YouTube, https://www.youtube.com/watch?v=RjthuCDzAnY] (quote at 7:18 of 21:39)
(1955) as quoted in Some strangeness in the proportion: a centennial symposium to celebrate the achievements of Albert Einstein (1980) Addison-Wesley Pub. Co., Advanced Book Program.
1950s
page 19 of [2002, A brief course in spontaneous symmetry breaking ii. modern times: The BEH mechanism, arXiv preprint hep-th/0203097, https://arxiv.org/pdf/hep-th/0203097.pdf]