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Bibliographic Details
Main Author: Hairer, Martin
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.14361
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author Hairer, Martin
author_facet Hairer, Martin
contents In this note we provide a gentle introduction to the concepts and intuition behind the recent breakthrough results on the mathematically rigorous construction of a non-trivial 2D conformal field theory, namely the so-called Liouville theory. This gives us the opportunity to review Segal's axioms for conformal field theories and to discuss in some detail how the free field fits into them.
format Preprint
id arxiv_https___arxiv_org_abs_2501_14361
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Probabilistic interpretation of quantum field theories
Hairer, Martin
High Energy Physics - Theory
Probability
81T40, 81T08
In this note we provide a gentle introduction to the concepts and intuition behind the recent breakthrough results on the mathematically rigorous construction of a non-trivial 2D conformal field theory, namely the so-called Liouville theory. This gives us the opportunity to review Segal's axioms for conformal field theories and to discuss in some detail how the free field fits into them.
title Probabilistic interpretation of quantum field theories
topic High Energy Physics - Theory
Probability
81T40, 81T08
url https://arxiv.org/abs/2501.14361