Unitary-Matrix Integration of the 2D Yang-Mills Action

DOI10.1143/PTP.112.737zbMATH Open1061.81049arXivhep-th/0303240MaRDI QIDQ4662718

Yoshinobu Habara

Publication date: 30 March 2005

Published in: Progress of Theoretical Physics (Search for Journal in Brave)

Abstract: Using the idea of Itzykson-Zuber integral, unitary-matrix integration of 2D Yang-Mills action is presented. The uniqueness of the solution of heat equation enables us to integrate out the unitary-matrix parts of hermite matrices and to obtain the expression of integration over vectors, also in this case.

Full work available at URL: https://arxiv.org/abs/hep-th/0303240

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Yang-Mills and other gauge theories in quantum field theory (81T13)

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Two-dimensional S-matrices from unitarity cuts

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