Describing phase transitions in field theory by self-similar approximants
arXiv:1904.04087 · doi:10.1051/epjconf/201920402003
Abstract
Self-similar approximation theory is shown to be a powerful tool for describing phase transitions in quantum field theory. Self-similar approximants present the extrapolation of asymptotic series in powers of small variables to the arbitrary values of the latter, including the variables tending to infinity. The approach is illustrated by considering three problems: (i) The influence of the coupling parameter strength on the critical temperature of the O(N)-symmetric multicomponent field theory. (ii) The calculation of critical exponents for the phase transition in the O(N)-symmetric field theory. (iii) The evaluation of deconfinement temperature in quantum chromodynamics. The results are in good agreement with the available numerical calculations, such as Monte Carlo simulations, Pade-Borel summation, and lattice data.
Latex file, 12 pages
References in corpus (11)
- The QCD equation of state with dynamical quarks
- Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
- The critical exponents of the superfluid transition in He4
- Critical exponents of the 3d Ising and related models from Conformal Bootstrap
- Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Seven Loops
- Towards the five-loop Beta function for a general gauge group
- Non-universal Critical Quantities from Variational Perturbation Theory and Their Application to the BEC Temperature Shift
- Method of self-similar factor approximants
- Bose-Einstein condensation temperature of weakly interacting atoms
- Ground state of a polydisperse electrorheological solid: Beyond the dipole approximation
- Speeding up parallel tempering simulations