The spectrum of a transfer matrix for loops

Thordur Jonsson, George K. Savvidy

Rannsóknarafurð: Framlag til fræðitímaritsGreinritrýni

9 Tilvitnanir (Scopus)

Útdráttur

We study the spectral properties of the transfer matrix for a gonihedric random surface model on a three-dimensional lattice. The transfer matrix is indexed by generalized loops in a natural fashion and is invariant under a group of motions in loop-space. The eigenvalues of the transfer matrix can be evaluated exactly in terms of the partition function, the internal energy and the correlation functions of the two-dimensional Ising model and the corresponding eigenfunctions are explicit functions on loop-space.

Upprunalegt tungumálEnska
Síður (frá-til)661-672
Síðufjöldi12
FræðitímaritNuclear Physics B
Bindi575
Númer tölublaðs3
DOI
ÚtgáfustaðaÚtgefið - 5 jún. 2000

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