Скачать или смотреть Fractals and conformal field theory

What if fractals could contribute to a clearer picture of nature?

Fractals are mathematical shapes maintaining identical structures when zoomed in or out. They share this property, called scale invariance, with a class of theories. These theories, known as conformal field theories, preserve angles but not distances through conformal transformations.

Conformal theories play a crucial role, particularly in modeling certain phase transitions. In recent decades, they have been central in theoretical physics, offering insights into the behavior of gravity at the smallest scales.

Here, Giulia studies a specific conformal theory living on an infinite straight line—a Wilson line. Her focus is on understanding correlations among different mathematical objects within this theory. To achieve this, she employs the renowned Feynman diagrams, which provide an efficient visual representation that is a crucial aid for computations.

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