Sine-Gordon Revisited
arXiv:math-ph/9907017 · doi:10.1007/s000230050005
Abstract
We study the sine-Gordon model in two dimensional space time in two different domains. For beta > 8 pi and weak coupling, we introduce an ultraviolet cutoff and study the infrared behavior. A renormalization group analysis shows that the model is asymptotically free in the infrared. For beta < 8 pi and weak coupling, we introduce an infrared cutoff and study the ultraviolet behavior. A renormalization group analysis shows that the model is asymptotically free in the ultraviolet.
43 pages, Latex 2.09
References in corpus (1)
Cited by in corpus (22)
- The dynamical sine-Gordon model
- Massless Sine-Gordon and Massive Thirring Models: proof of the Coleman's equivalence
- A renormalisation group method. IV. Stability analysis
- Log-Sobolev inequality for the continuum sine-Gordon model
- The dynamical sine-Gordon model in the full subcritical regime
- Kosterlitz-Thouless Transition Line for the Two Dimensional Coulomb Gas
- Critical exponents of the two dimensional Coulomb gas at the Berezinskii-Kosterlitz-Thouless transition
- Maximum and coupling of the sine-Gordon field
- The Coleman correspondence at the free fermion point
- Stochastic dynamics and the Polchinski equation: an introduction
- Infinite volume limit for the dipole gas
- Spectral gap critical exponent for Glauber dynamics of hierarchical spin models
- Random partitions under the Plancherel-Hurwitz measure, high genus Hurwitz numbers and maps
- The Discrete Gaussian model, II. Infinite-volume scaling limit at high temperature
- The Discrete Gaussian model, I. Renormalisation group flow at high temperature
- Percolation transition for random forests in
- Parametric holomorphy? Triviality versus Duality in Sinh-Gordon
- Lee-Yang Property and Gaussian multiplicative chaos
- Local operators in the Sine-Gordon model: and the stress tensor
- Infinite Volume Limit for Correlation functions in the Dipole Gas
- On a parabolic sine-Gordon model
- A renormalization group method by harmonic extensions and the classical dipole gas