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It is a very good idea that provides concrete answers only when selecting multiple components. There is no standard mathematical method that can calculate infinitely more material. The most important approach is scientific wisdom than the real mathematical method. Mathematicians doubt its existence as legitimate and are frustrated by the way physicists rely.
“I’ve been confused as a mathematician with something that hasn’t been explained,” he said Eveliina Peltola, mathematician at the University of Bonn in Germany.
Astronomers are able to use Feynman’s method to calculate the performance of the only boring space – free fields, which are not compatible with other or their own components. Otherwise, they have to do a fudge, pretending that the fields are free and adding a little mix, or “distraction.” This method, known as the theory of relativity, makes them connected in many places at that time, because the forces of nature are so weak.
But it did not work for Polyakov. Although at first he thought that the Liouville section might be legitimate by adding a little frustration, he found that it connects itself very strongly. Compared to the free segment, the Liouville segment seems relatively mathematical, and its connection seems impossible.
Top with Bootstraps
Polyakov soon began looking for work. In 1984, he teamed up with Alexander Belavin and Alexander Zamolodchikov to develop a so-called method connectMathematical steps that gradually lead to fieldwork.
To get started on a ladder, you need a job that describes the connection between the three dimensions in the field. The function of the “three-point connector,” as well as some of the more powerful components that small particles can absorb, is a design under the bootstrap ladder.
From there you go up one place at a time: Use three points to build four points, use four points to build five points, and much more. But this approach brings about conflicting results when you start with the wrong connection of the three concepts in the first instance.
Polyakov, Belavin, and Zamolodchikov used bootstrap to successfully solve various simple QFT concepts, but like Feynman’s method, they were unable to use it in Liouville.
Then in the 1990s pairs of physicists—Harald Dorn and Hans-Jörg Otto, and Zamolodchikov and his brother Alexei– managed to hit a three-point merger that led to the ascent of the stairs, completely eliminating the Liouville component (and its definition of quantum gravity). Their results, known for their origins as a form of DOZZ, let astronomers predict anything about the Liouville region. But even the writers knew that they had arrived by chance, not through clear mathematics.
“They were the kind of geniuses who thought the way,” Vargas said.
Trained concepts are useful in physics, but they do not satisfy mathematicians, who later wanted to know where the DOZZ formula came from. The deal that ended the Liouville settlement must have come from a description of the land, although no one had any final idea on how to receive it.
“It seemed like a science fiction novel,” Kupiainen said. “This is not confirmed by anyone.”
Managing the Wilderness
In early 2010, Vargas and Kupiainen merged with theorist Rémi Rhodes and physicist François David. Their goal was to build on the mathematical end of the Liouville section – to establish the Feynman method that Polyakov left behind and, perhaps, to validate the DOZZ method.
When he started, he realized that the French mathematician Jean-Pierre Kahane had realized, decades ago, what could be the secret of Polyakov’s ideas.
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