Phase structure of four-dimensional gonihedric spin system

Abstract

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.

14 pages, Latex, 10 figures

References in corpus (1)

• String tension in gonihedric 3D Ising models

Cited by in corpus (12)

• Non-Standard Finite-Size Scaling at First-Order Phase Transitions
• Slow dynamics in the 3--D gonihedric model
• Gonihedric (and Fuki-Nuke) Order
• Four-dimensional gonihedric gauge spin system
• Dynamics of the two-dimensional gonihedric spin model
• Three-dimensional gonihedric spin system
• The Dual Gonihedric 3D Ising Model
• Planar ordering in the plaquette-only gonihedric Ising model
• The Gonihedric Paradigm Extensions of the Ising Model
• (Four) Dual Plaquette 3D Ising Models
• Vacuum structure of gauge theory on lattice with two parallel plaquette action
• Three-dimensional Gonihedric Potts model