Zeta-Regularization of the O(N) Non-Linear Sigma Model in D dimensions

Details Zeta-Regularization of the O(N) Non-Linear Sigma Model in D dimensions Zeta-Regularization of the O(N) Non-Linear Sigma Model in D dimensions

1995-05-17

arxiv.org/abs/gr-qc/9505027v2

J.Math.Phys.37:1128-1147,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages

Scientific paper

10.1063/1.531437

The O(N) non-linear sigma model in a $D$-dimensional space of the form ${\bf R}^{D-M} \times {\bf T}^M$, ${\bf R}^{D-M} \times {\bf S}^M$, or ${\bf T}^M \times {\bf S}^P$ is studied, where ${\bf R}^M$, ${\bf T}^M$ and ${\bf S}^M$ correspond to flat space, a torus and a sphere, respectively. Using zeta regularization and the $1/N$ expansion, the corresponding partition functions and the gap equations are obtained. Numerical solutions of the gap equations at the critical coupling constants are given, for several values of $D$. The properties of the partition function and its asymptotic behaviour for large $D$ are discussed. In a similar way, a higher-derivative non-linear sigma model is investigated too. The physical relevance of our results is discussed.

Affiliated with

Also associated with

No associations

Rating

Zeta-Regularization of the O(N) Non-Linear Sigma Model in D dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Zeta-Regularization of the O(N) Non-Linear Sigma Model in D dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zeta-Regularization of the O(N) Non-Linear Sigma Model in D dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-588505