Hermitian Matrix Model with Plaquette Interaction

TY - JOUR

T1 - Hermitian Matrix Model with Plaquette Interaction

AU - Chekhov, L.

AU - Kristjansen, C.

N1 - 15 pages, no figures, two references added

PY - 1996/5/2

Y1 - 1996/5/2

N2 - We study a hermitian $(n+1)$-matrix model with plaquette interaction, $\sum_{i=1}^n MA_iMA_i$. By means of a conformal transformation we rewrite the model as an $O(n)$ model on a random lattice with a non polynomial potential. This allows us to solve the model exactly. We investigate the critical properties of the plaquette model and find that for $n\in]-2,2]$ the model belongs to the same universality class as the $O(n)$ model on a random lattice.

AB - We study a hermitian $(n+1)$-matrix model with plaquette interaction, $\sum_{i=1}^n MA_iMA_i$. By means of a conformal transformation we rewrite the model as an $O(n)$ model on a random lattice with a non polynomial potential. This allows us to solve the model exactly. We investigate the critical properties of the plaquette model and find that for $n\in]-2,2]$ the model belongs to the same universality class as the $O(n)$ model on a random lattice.

KW - hep-th

U2 - 10.1016/0550-3213(96)00382-3

DO - 10.1016/0550-3213(96)00382-3

M3 - Journal article

SN - 0550-3213

VL - 479

SP - 683

EP - 696

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -