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  Dimensionally reduced SYM_4 as solvable matrix quantum mechanics.

Hoppe, J., Kazakov, V. A., & Kostov, I. K. (2000). Dimensionally reduced SYM_4 as solvable matrix quantum mechanics. Nuclear Physics B, 571(1-2), 479-509. doi:10.1016/S0550-3213(99)00749-X.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5727-B Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5728-9
Genre: Journal Article

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 Creators:
Hoppe, Jens1, Author
Kazakov, V. A., Author
Kostov, I. K., Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We study the quantum mechanical model obtained as a dimensional reduction of Image super Yang–Mills theory to a periodic light cone “time”. After mapping the theory to a cohomological field theory, the partition function (with periodic boundary conditions) regularized by a massive term appears to be equal to the partition function of the twisted matrix oscillator. We show that this partition function perturbed by the operator of the holonomy around the time circle is a tau function of Toda hierarchy. We solve the model in the large N limit and study the universal properties of the solution in the scaling limit of vanishing perturbation. We find in this limit a phase transition of Gross–Witten type.

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 Dates: 2000-04-03
 Publication Status: Issued
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 Identifiers: eDoc: 206163
URI: http://xxx.lanl.gov/abs/hep-th/9907058
Other: arXiv:hep-th/9907058v3
DOI: 10.1016/S0550-3213(99)00749-X
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Title: Nuclear Physics B
Source Genre: Journal
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Pages: - Volume / Issue: 571 (1-2) Sequence Number: - Start / End Page: 479 - 509 Identifier: ISSN: 0550-3213