Published February 15, 1995
| Version v1
Journal article
Remark on the renormalization group equation for the Penner model
Creators
- 1. Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS (United Kingdom)
- 2. LPTHE, Universite Paris Sud, Batiment 211, F-91405 Orsay (France)
Description
It has been shown that it is possible to extract values for critical couplings and γstring in matrix models by deriving a renormalization group equation for the variation of the free energy as the size N of the matrices in the theory is varied. In this paper we derive a ''renormalization group equation'' for the Penner model by direct differentiation of the partition function and show that it reproduces the correct values of the critical coupling and γstring and is consistent with the logarithmic corrections present for g=0,1
Additional details
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 51
- Journal Issue
- 4
- Journal Page Range
- p. 2014-2017.
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 26042835
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CORRECTIONS; COUPLING; FREE ENERGY; PARTITION FUNCTIONS; RENORMALIZATION; STRING MODELS
- Descriptors DEC
- ENERGY; EXTENDED PARTICLE MODEL; FUNCTIONS; MATHEMATICAL MODELS; PARTICLE MODELS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES