Casimir squared correction to the standard rotator Hamiltonian for the O(n) sigma-model in the delta-regime
Abstract In a previous paper we found that the isospin susceptibility of the O(n) sigma-model calculated in the standard rotator approximation differs from the next-to-next-to leading order chiral perturbation theory result in terms vanishing like 1/ℓ, for ℓ = L t /L → ∞ and further showed that this...
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Online Access: | http://link.springer.com/article/10.1007/JHEP05(2018)070 |
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doaj-7628142f0df043e986d1f4a49757a74f2020-11-25T00:35:29ZengSpringerOpenJournal of High Energy Physics1029-84792018-05-012018512410.1007/JHEP05(2018)070Casimir squared correction to the standard rotator Hamiltonian for the O(n) sigma-model in the delta-regimeF. Niedermayer0P. Weisz1Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of BernMax-Planck-Institut für PhysikAbstract In a previous paper we found that the isospin susceptibility of the O(n) sigma-model calculated in the standard rotator approximation differs from the next-to-next-to leading order chiral perturbation theory result in terms vanishing like 1/ℓ, for ℓ = L t /L → ∞ and further showed that this deviation could be described by a correction to the rotator spectrum proportional to the square of the quadratic Casimir invariant. Here we confront this expectation with analytic nonperturbative results on the spectrum in 2 dimensions, by Balog and Hegedüs for n = 3, 4 and by Gromov, Kazakov and Vieira for n = 4, and find good agreement in both cases. We also consider the case of 3 dimensions.http://link.springer.com/article/10.1007/JHEP05(2018)070Effective Field TheoriesLattice Quantum Field TheorySigma Models |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
F. Niedermayer P. Weisz |
spellingShingle |
F. Niedermayer P. Weisz Casimir squared correction to the standard rotator Hamiltonian for the O(n) sigma-model in the delta-regime Journal of High Energy Physics Effective Field Theories Lattice Quantum Field Theory Sigma Models |
author_facet |
F. Niedermayer P. Weisz |
author_sort |
F. Niedermayer |
title |
Casimir squared correction to the standard rotator Hamiltonian for the O(n) sigma-model in the delta-regime |
title_short |
Casimir squared correction to the standard rotator Hamiltonian for the O(n) sigma-model in the delta-regime |
title_full |
Casimir squared correction to the standard rotator Hamiltonian for the O(n) sigma-model in the delta-regime |
title_fullStr |
Casimir squared correction to the standard rotator Hamiltonian for the O(n) sigma-model in the delta-regime |
title_full_unstemmed |
Casimir squared correction to the standard rotator Hamiltonian for the O(n) sigma-model in the delta-regime |
title_sort |
casimir squared correction to the standard rotator hamiltonian for the o(n) sigma-model in the delta-regime |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2018-05-01 |
description |
Abstract In a previous paper we found that the isospin susceptibility of the O(n) sigma-model calculated in the standard rotator approximation differs from the next-to-next-to leading order chiral perturbation theory result in terms vanishing like 1/ℓ, for ℓ = L t /L → ∞ and further showed that this deviation could be described by a correction to the rotator spectrum proportional to the square of the quadratic Casimir invariant. Here we confront this expectation with analytic nonperturbative results on the spectrum in 2 dimensions, by Balog and Hegedüs for n = 3, 4 and by Gromov, Kazakov and Vieira for n = 4, and find good agreement in both cases. We also consider the case of 3 dimensions. |
topic |
Effective Field Theories Lattice Quantum Field Theory Sigma Models |
url |
http://link.springer.com/article/10.1007/JHEP05(2018)070 |
work_keys_str_mv |
AT fniedermayer casimirsquaredcorrectiontothestandardrotatorhamiltonianfortheonsigmamodelinthedeltaregime AT pweisz casimirsquaredcorrectiontothestandardrotatorhamiltonianfortheonsigmamodelinthedeltaregime |
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1725308919520165888 |