On the mass spectrum of the two-dimensional O(3) sigma model with theta term

Details On the mass spectrum of the two-dimensional O(3) sigma model with theta term On the mass spectrum of the two-dimensional O(3) sigma model with theta term

2003-07-16

arxiv.org/abs/hep-th/0307143v2

Phys.Rev.Lett. 92 (2004) 021601

Physics

High Energy Physics

High Energy Physics - Theory

4 pages REVTEX4, 2 figures reference added,corrected typos

Scientific paper

10.1103/PhysRevLett.92.021601

Form Factor Perturbation Theory is applied to study the spectrum of the O(3) non--linear sigma model with the topological term in the vicinity of $\theta = \pi$. Its effective action near this value is given by the non--integrable double Sine--Gordon model. Using previous results by Affleck and the explicit expressions of the Form Factors of the exponential operators $e^{\pm i\sqrt{8\pi} \phi(x)}$, we show that the spectrum consists of a stable triplet of massive particles for all values of $\theta$ and a singlet state of higher mass. The singlet is a stable particle only in an interval of values of $\theta$ close to $\pi$ whereas it becomes a resonance below a critical value $\theta_c$.

Affiliated with

Also associated with

No associations

Rating

On the mass spectrum of the two-dimensional O(3) sigma model with theta term 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 On the mass spectrum of the two-dimensional O(3) sigma model with theta term, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the mass spectrum of the two-dimensional O(3) sigma model with theta term will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-207359