Crossover exponent in O(N) phi4 theory at O(1/N2)
Abstract
The critical exponent phic, derived from the anomalous dimension of the bilinear operator responsible for crossover behaviour in O(N) phi4 theory, is calculated at O(1/N2) in a large N expansion in arbitrary space-time dimension d = 4 - 2 epsilon. Its epsilon expansion agrees with the known O(epsilon4) perturbative expansion and new information on the structure of the five loop exponent is provided. Estimates of phic and the related crossover exponents betac and gammac, using Pade-Borel resummation, are provided for a range of N in three dimensions.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.