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Report

On the critical behaviour of hermitean f-matrix models in the double scaling limit with f >= 3

Autor: Balaska, S., Maeder, J., Ruehl, W.

Publikováno v: Int.J.Mod.Phys. A14 (1999) 97-118

An algorithm for the isolation of any singularity of f-matrix models in the double scaling limit is presented. In particular it is proved by construction that only those universality classes exist that are known from 2-matrix models.
Comment: 24

Externí odkaz: http://arxiv.org/abs/hep-th/9707213

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The Continuous Series of Critical Points of the Two-Matrix Model at N -> infinity in the Double Scaling Limit

Autor: Balaska, S., Maeder, J., Ruehl, W.

Publikováno v: Nucl.Phys. B520 (1998) 411-432

The critical points of the continuous series are characterized by two complex numbers l_1,l_2 (Re(l_1,l_2)< 0), and a natural number n (n>=3) which enters the string susceptibility constant through gamma = -2/(n-1). The critical potentials are analyt

Externí odkaz: http://arxiv.org/abs/hep-th/9703161

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Perturbative approach to the critical behaviour of two-matrix models in the limit N -> infinity

Autor: Balaska, S., Maeder, J., Ruehl, W.

Publikováno v: Nucl.Phys. B486 (1997) 673-695

We construct representations of the Heisenberg algebra by pushing the perturbation expansion to high orders. If the multiplication operators $B_{1,2}$ tend to differential operators of order $l_{2,1}$, respectively, the singularity is characterized b

Externí odkaz: http://arxiv.org/abs/hep-th/9609036

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Greensite-Halpern stabilization of $A_k$ singularities in the $N \to \infty$ limit

Autor: Maeder, J., Ruehl, W.

The Greensite-Halpern method of stabilizing bottomless Euclidean actions is applied to zerodimensional O(N) sigma models with unstable $A_k$ singularities in the $N = \infty$ limit.
Comment: LaTeX, 9 pages, no figures

Externí odkaz: http://arxiv.org/abs/hep-th/9511085

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Sigma models with $A_k$ singularities in Euclidean spacetime of dimension 0<=D<4 and in the limit N->infinity

Autor: Maeder, J., Ruehl, W.

Publikováno v: Z.Phys. C72 (1996) 689-698

For the case of the single-O($N$)-vector linear sigma models the critical behaviour following from any $A_k$ singularity in the action is worked out in the double scaling limit $N \rightarrow \infty$, $f_r \rightarrow f_r^c$, $2 \leq r \leq k$. After

Externí odkaz: http://arxiv.org/abs/hep-th/9510043

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Report

Double Scaling Limits, Airy Functions and Multicritical Behaviour in O(N) Vektor Sigma Models

Autor: Maeder, J., Ruehl, W.

O(N) vector sigma models possessing catastrophes in their action are studied. Coupling the limit N --> infinity with an appropriate scaling behaviour of the coupling constants, the partition function develops a singular factor. This is a generalized

Externí odkaz: http://arxiv.org/abs/hep-th/9505131

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