Leading Logarithms in the Massive $O(N)$ Nonlinear Sigma Model
(2010) In Nuclear Physics, Section B 827(1-2). p.237-255- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1508718
- author
- Bijnens, Johan LU and Carloni, Lisa LU
- organization
- publishing date
- 2010
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Expansions for large, Renormalization group evolution of parameters, numbers of components (e.g., 1/N expansions), Spontaneous and radiative, symmetry breaking, Chiral Lagrangians
- in
- Nuclear Physics, Section B
- volume
- 827
- issue
- 1-2
- pages
- 237 - 255
- publisher
- North-Holland
- external identifiers
-
- wos:000272669900008
- scopus:84859958580
- ISSN
- 0550-3213
- DOI
- 10.1016/j.nuclphysb.2009.10.028
- language
- English
- LU publication?
- yes
- id
- 93866a94-f4d7-4161-906a-185f92d6aac6 (old id 1508718)
- alternative location
- http://arxiv.org/abs/0909.5086
- date added to LUP
- 2016-04-01 14:39:36
- date last changed
- 2024-04-10 22:54:12
@article{93866a94-f4d7-4161-906a-185f92d6aac6, abstract = {{We review Buchler and Colangelo's result<br/><br> that leading divergences<br/><br> at any loop order can be calculated using only one-loop calculations<br/><br> and we provide an alternative proof.<br/><br> We then use this method to calculate the leading divergences of<br/><br> and thus the leading logarithmic corrections to the meson mass in<br/><br> the massive $O(N)$<br/><br> nonlinear sigma model to five-loop order.<br/><br> We also calculate the all-loop result to leading order in the large $N$<br/><br> expansion by showing that only cactus diagrams contribute and by summing<br/><br> these via a generalized gap equation.}}, author = {{Bijnens, Johan and Carloni, Lisa}}, issn = {{0550-3213}}, keywords = {{Expansions for large; Renormalization group evolution of parameters; numbers of components (e.g.; 1/N expansions); Spontaneous and radiative; symmetry breaking; Chiral Lagrangians}}, language = {{eng}}, number = {{1-2}}, pages = {{237--255}}, publisher = {{North-Holland}}, series = {{Nuclear Physics, Section B}}, title = {{Leading Logarithms in the Massive $O(N)$ Nonlinear Sigma Model}}, url = {{http://dx.doi.org/10.1016/j.nuclphysb.2009.10.028}}, doi = {{10.1016/j.nuclphysb.2009.10.028}}, volume = {{827}}, year = {{2010}}, }