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Singular matrix models and Kazakov-Migdal Penner model Paniak, Lori Dean
Abstract
In the past few years there has been renewed interest in the large-N solution of QCD due to a model proposed by Kazkov and Migdal. While this model is formally solvable there exist only two explicit solutions, namely for the cases of the Gaussian and logarithmic (Penner)-type potentials. Here we give the complete solution for the latter and show that the model has critical behaviour for space-time dimension D > 1. As well we point out several inconsistencies in the standard method of solution and expectations from basic considerations.
Item Metadata
| Title |
Singular matrix models and Kazakov-Migdal Penner model
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1994
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| Description |
In the past few years there has been renewed interest in the large-N solution of QCD due
to a model proposed by Kazkov and Migdal. While this model is formally solvable there
exist only two explicit solutions, namely for the cases of the Gaussian and logarithmic
(Penner)-type potentials. Here we give the complete solution for the latter and show that
the model has critical behaviour for space-time dimension D > 1. As well we point out
several inconsistencies in the standard method of solution and expectations from basic
considerations.
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| Extent |
1189122 bytes
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| Genre | |
| Type | |
| File Format |
application/pdf
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| Language |
eng
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| Date Available |
2009-03-04
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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| DOI |
10.14288/1.0087685
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
1994-11
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Item Media
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.