Finite Size Effects and Conformal Symmetry ofO(N) Nonlinear σ Model in Three Dimensions | Zendy

Akira Fujii | Zendy; Takeo Inami | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Finite Size Effects and Conformal Symmetry ofO(N) Nonlinear σ Model in Three Dimensions

Author(s) -

Akira Fujii,

Takeo Inami

Publication year - 1995

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.118.299

Subject(s) - casimir effect , conformal map , partition function (quantum field theory) , symmetry (geometry) , conformal symmetry , physics , mathematical physics , mathematics , nonlinear system , space (punctuation) , mathematical analysis , geometry , quantum mechanics , linguistics , philosophy

We study the $O(N)$ nonlinear $\sigma$ model on a three-dimensional compactspace $S^1 \times S^2$ (of radii $L$ and $R$ respectively) by means of large$N$ expansion, focusing on the finite size effects and conformal symmetries ofthis model at the critical point. We evaluate the correlation length and theCasimir energy of this model and study their dependence on $L$ and $R$. Weexamine the modular transformation properties of the partition function, andstudy the dependence of the specific heat on the mass gap in view of possibleextension of the $C-$theorem to three dimensions.Comment: 12 pages uuencoded compressed PostScript file including 1 figur

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research