Mass Generation in the Large N -Nonlinear σ-Model
نویسندگان
چکیده
منابع مشابه
The Mass Gap of the Nonlinear σ Model through the Finite Temperature Effective Action
The O(3) nonlinear σ model is studied in the disordered phase, using the techniques of the effective action and finite temperature field theory. The nonlinear constraint is implemented through a Lagrange multiplier. The finite temperature effective potential for this multiplier is calculated at one loop. The existence of a nontrivial minimum for this potential is the signal of a disordered phas...
متن کاملA determination of the mass gap in the O(n) σ model
We calculate the finite volume mass gap M(L) at 3-loop level in the non-linear O(n) σ-model in two dimensions in small volumes. By applying the Monte Carlo measurements of the running coupling ḡ2(L) = 2nM(L)L/(n − 1) by Lüscher, Weisz and Wolff [1] measured in units of the physical mass gap m, the result is used to determine m in units of the Λ-parameter in the O(3) and O(4) models. Our determi...
متن کاملThe O(N) σ-model Laplacian
For fields that vary slowly on the scale of the lightest mass the logarithm of the vacuum functional of a massive quantum field theory can be expanded in terms of local functionals satisfying a form of the Schrödinger equation, the principal ingredient of which is a regulated functional Laplacian. We construct to leading order a Laplacian for the O(N) σ-model that acts on such local functionals...
متن کاملNonlinear σ-model, form factors and universality
We report the results of a very high statistics Monte Carlo study of the continuum limit of the two dimensional O(3) non-linear σ model. We find a significant discrepancy between the continuum extrapolation of our data and the form factor prediction of Balog and Niedermaier, inspired by the Zamolodchikovs’ S-matrix ansatz. On the other hand our results for the O(3) and the dodecahedron model ar...
متن کامل20 08 Large N transition in the 2 D SU ( N ) xSU ( N ) nonlinear sigma model
We consider the characteristic polynomial associated with the smoothed two point function in two dimensional large N principal chiral model. We numerically show that it undergoes a transition at a critical distance of the order of the correlation length. The transition is in the same universality class as two dimensional large N QCD.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1999
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s002200050576