2004/08/12 by Peter Browne Ronne, Peter B. Rønne, Ronne, Peter Browne
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0408103
Master's thesis. 143 pages, 15 figures; Version 2 with one reference added; Version 3 with references added
openalex publication_date 2004/08/12 · arxiv created 2004/10/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This master's thesis gives a thorough and pedagogical introduction to the Dijkgraaf-Vafa conjecture which tells us how to calculate the exact effective glueball superpotential in a wide range of N=\textrm1 supersymmetric gauge theories in four space-time dimensions using a related matrix model. The introduction is purely field theoretical and reviews all the concepts needed to understand the conjecture. Furthermore, examples of the use of the conjecture are given. Especially, we find the one-cut solution of the matrix model and use this to obtain exact superpotentials in the case of unbroken gauge groups. Also the inclusion of the Veneziano-Yankielowicz superpotential and problems such as the nilpotency of the glueball superfield are discussed. Finally, we present the diagrammatic proof of the conjecture in detail, including the case where we take into account the abelian part of the supersymmetric gauge field strength. This master's thesis was handed in May 2004 and appears here with minor changes.