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Photo of Johan Bijnens

Johan Bijnens

Professor

Photo of Johan Bijnens

Leading Logarithms in the Massive $O(N)$ Nonlinear Sigma Model

Author

  • Johan Bijnens
  • Lisa Carloni

Summary, in English

We review Buchler and Colangelo's result

that leading divergences

at any loop order can be calculated using only one-loop calculations

and we provide an alternative proof.

We then use this method to calculate the leading divergences of

and thus the leading logarithmic corrections to the meson mass in

the massive $O(N)$

nonlinear sigma model to five-loop order.

We also calculate the all-loop result to leading order in the large $N$

expansion by showing that only cactus diagrams contribute and by summing

these via a generalized gap equation.

Department/s

  • Theoretical Particle Physics

Publishing year

2010

Language

English

Pages

237-255

Publication/Series

Nuclear Physics, Section B

Volume

827

Issue

1-2

Document type

Journal article

Publisher

North-Holland

Topic

  • Subatomic Physics

Keywords

  • Expansions for large
  • Renormalization group evolution of parameters
  • numbers of components (e.g.
  • 1/N expansions)
  • Spontaneous and radiative
  • symmetry breaking
  • Chiral Lagrangians

Status

Published

ISBN/ISSN/Other

  • ISSN: 0550-3213