Phase structure of four-dimensional gonihedric spin system

Details Phase structure of four-dimensional gonihedric spin system Phase structure of four-dimensional gonihedric spin system

1997-06-25

arxiv.org/abs/hep-th/9706173v1

Phys.Lett. B410 (1997) 241-249

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Latex, 10 figures

Scientific paper

10.1016/S0370-2693(97)00978-7

We perform Monte Carlo simulations of a gauge invariant spin system which describes random surfaces with gonihedric action in four dimensions. The Hamiltonian is a mixture of one-plaquette and additional two- and three-plaquette interaction terms with specially adjusted coupling constants. For the system with the large self-intersection coupling constant $k$ we observe the second-order phase transition at temperature $\beta_{c}\simeq 1.75$. The string tension is generated by quantum fluctuations as it was expected theoretically. This result suggests the existence of a noncritical string in four dimensions. For smaller values of $k$ the system undergoes the first order phase transition and for $k$ close to zero exhibits a smooth crossover.

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