Gonihedric String and Asymptotic Freedom

Abstract

Few natural basic principles allow to extend Feynman integral over the paths to an integral over the surfaces so, that they coincide at long time scale, that is when the surface degenerates into a single particle world line. In the first approximation the loop Green functions have perimeter behavior. That corresponds to the case when free quarks interact through one gluon exchange. Quantum fluctuations of the surface generate the area low. Thus in this string theory asymptotic freedom and confinement can coexist.

10 pages, latex file

Cited by in corpus (43)

• Generalization of Yang-Mills Theory
• Interaction Hierarchy
• Self-Avoiding Gonihedric Srting and Spin Systems
• Plaquette Ising models, degeneracy and scaling
• Phase Transition in Lattice Surface Systems with Gonihedric Action
• GEOMETRICAL STRING and DUAL SPIN SYSTEMS
• Evidence for a first order transition in a plaquette 3d Ising-like action
• Non-Standard Finite-Size Scaling at First-Order Phase Transitions
• Low temperature expansion of the gonihedric Ising model
• Gonihedric 3D Ising Actions
• Dual Statistical Systems and Geometrical String
• Slow dynamics in the 3--D gonihedric model
• The Phase Diagram of the Gonihedric 3d Ising Model via CVM
• Tensionless strings, correspondence with SO(D,D) sigma model
• String tension in gonihedric 3D Ising models
• Gonihedric (and Fuki-Nuke) Order
• Covariant perturbations in the gonihedric string model
• Multicanonical analysis of the plaquette-only gonihedric Ising model and its dual
• A Lower Estimate for the Modified Steiner Functional
• Scaling in Steiner Random Surfaces
• Phase structure of four-dimensional gonihedric spin system
• Four-dimensional gonihedric gauge spin system
• Exact solutions to plaquette Ising models with free and periodic boundaries
• Dynamics of the two-dimensional gonihedric spin model
• Alternative actions for quantum gravity and the intrinsic rigidity of the spacetime
• Weyl Invariant Gonihedric Strings
• The spectrum of a transfer matrix for loops
• The Dual Gonihedric 3D Ising Model
• Gonihedric String Equation II
• The Gonihedric Paradigm Extensions of the Ising Model
• Gravity and Random Surfaces on the Lattice - A Review
• Quantum gravity with linear action. Intrinsic rigidity of spacetime
• Fixed boundary conditions analysis of the 3d Gonihedric Ising model with $\kappa =0$
• Gonihedric String Equation
• Hamiltonian dynamics of gonihedric string theory
• Superstring with Extrinsic Curvature Action
• Curvature representation of the gonihedric action
• On gonihedric loops and quantum gravity
• (Four) Dual Plaquette 3D Ising Models
• Three-dimensional Gonihedric Potts model
• Gonihedric Ising Actions
• Tensionless Strings. Vertex Operator for Fixed Helicity States
• The QCD string and the generalised wave equation