Properties of size-dependent models having quasiperiodic boundary conditions

Abstract

Boundary conditions effects are explored for size-dependent models in thermal equilibrium. Scalar and fermionic models are used for $D=1+3$ (films), $D=1+2$ (hollow cylinder) and $D=1+1$ (ring). For all models a minimal length is found, below which no thermally-induced phase transition occurs. Using quasiperiodic boundary condition controlled by a contour parameter $\theta$ ($\theta =0$ is a periodic boundary condition and $\theta =1$ is an antiperiodic condition) it results that the minimal length depends directly on the value of $\theta$. It is also argued that this parameter can be associated to an Aharonov-Bohm phase.

References in corpus (8)

• Scalar mesons in a finite volume
• Landauer conductance and twisted boundary conditions for Dirac fermions in two space dimensions
• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• Induced fermionic current in toroidally compactified spacetimes with applications to cylindrical and toroidal nanotubes
• Quantum field theory on toroidal topology: algebraic structure and applications
• Flux interactions on D-branes and instantons
• First-order phase transitions in superconducting films: A Euclidean model
• Critical temperature for first-order phase transitions in confined systems

Cited by in corpus (6)

• Dimensional reduction of a finite-size scalar field model at finite temperature
• The effect of boundary conditions on dimensionally reduced field-theoretical models at finite temperature
• Boundary conditions and electromagnetic effects on the phase transition of a zero spin bosonic system
• Non-analytic Term in Effective Potential at Finite Temperature for Scalar Field on Compactified Space
• Feynman Amplitudes in Periodically Compactified Spaces -- Spin 0
• Quantum forces in cavities