The massive O(N) nonlinear sigma model at high orders
(2011) In Nuclear Physics, Section B 843(1). p.5583 Abstract
 We extend our earlier work on the massive O(N) nonlinear sigma model to other observables. We derive expressions at leading order in the large N expansion at all orders in the loop expansion for the decay constant, vacuum expectation value, meson meson scattering and the scalar and vector form factors. This is done using cactus diagram resummation using a generalized gap equation and other recursion relations. For general N we derive the expressions for the nthlooporder leading logarithms (M2/F2 log(mu(2)/M2))(n), up to five loops for the decay constant and vacuum expectation value (VEV) and up to four loops for mesonmeson scattering, the scalar and vector form factors. We also quote our earlier result for the mass. The large N... (More)
 We extend our earlier work on the massive O(N) nonlinear sigma model to other observables. We derive expressions at leading order in the large N expansion at all orders in the loop expansion for the decay constant, vacuum expectation value, meson meson scattering and the scalar and vector form factors. This is done using cactus diagram resummation using a generalized gap equation and other recursion relations. For general N we derive the expressions for the nthlooporder leading logarithms (M2/F2 log(mu(2)/M2))(n), up to five loops for the decay constant and vacuum expectation value (VEV) and up to four loops for mesonmeson scattering, the scalar and vector form factors. We also quote our earlier result for the mass. The large N results do not give a good approximation for the case N = 3. We use our results to study the convergence of the perturbative series and compare with elastic unitarity. (C) 2010 Elsevier B.V. All rights reserved. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1774162
 author
 Bijnens, Johan ^{LU} and Carloni, Lisa ^{LU}
 organization
 publishing date
 2011
 type
 Contribution to journal
 publication status
 published
 subject
 keywords
 Spontaneous and radiative, 1/N expansions), numbers of components (e.g., Renormalization group evolution of parameters, Expansions for large, symmetry breaking, Chiral Lagrangians
 in
 Nuclear Physics, Section B
 volume
 843
 issue
 1
 pages
 55  83
 publisher
 NorthHolland
 external identifiers

 wos:000285024100003
 scopus:78049461142
 ISSN
 05503213
 DOI
 10.1016/j.nuclphysb.2010.09.019
 language
 English
 LU publication?
 yes
 id
 65feaba202204a269b7a78e92ee27ea6 (old id 1774162)
 date added to LUP
 20160401 14:52:48
 date last changed
 20211010 03:47:14
@article{65feaba202204a269b7a78e92ee27ea6, abstract = {We extend our earlier work on the massive O(N) nonlinear sigma model to other observables. We derive expressions at leading order in the large N expansion at all orders in the loop expansion for the decay constant, vacuum expectation value, meson meson scattering and the scalar and vector form factors. This is done using cactus diagram resummation using a generalized gap equation and other recursion relations. For general N we derive the expressions for the nthlooporder leading logarithms (M2/F2 log(mu(2)/M2))(n), up to five loops for the decay constant and vacuum expectation value (VEV) and up to four loops for mesonmeson scattering, the scalar and vector form factors. We also quote our earlier result for the mass. The large N results do not give a good approximation for the case N = 3. We use our results to study the convergence of the perturbative series and compare with elastic unitarity. (C) 2010 Elsevier B.V. All rights reserved.}, author = {Bijnens, Johan and Carloni, Lisa}, issn = {05503213}, language = {eng}, number = {1}, pages = {5583}, publisher = {NorthHolland}, series = {Nuclear Physics, Section B}, title = {The massive O(N) nonlinear sigma model at high orders}, url = {http://dx.doi.org/10.1016/j.nuclphysb.2010.09.019}, doi = {10.1016/j.nuclphysb.2010.09.019}, volume = {843}, year = {2011}, }