Johan Bijnens
Professor, Deputy Head of Division
Leading Logarithms in the Massive $O(N)$ Nonlinear Sigma Model
Author
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.
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 - Has been reorganised
Publishing year
2010
Language
English
Pages
237-255
Publication/Series
Nuclear Physics, Section B
Volume
827
Issue
1-2
Links
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