Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-03-22
Annals Phys. 247 (1996) 292-413
Physics
High Energy Physics
High Energy Physics - Phenomenology
119 pages + 7 Figures available from (I.Zahed)
Scientific paper
10.1006/aphy.1996.0045
We derive a master formula for chiral $SU(2)\times SU(2)$ breaking, based on the Veltman-Bell equations and the Peierls-Dyson relation. Our approach does not rely on the use of the soft pion limit or an expansion around the chiral limit, and yields exact results for on-shell pions. Threshold theorems for $\pi N\rightarrow \pi N$, $\gamma N\rightarrow \pi N$, $\pi N\rightarrow\pi\pi N$, $\gamma N\rightarrow \gamma\pi N$, $\gamma N\rightarrow \pi\pi N$ and $\pi N\rightarrow \pi\gamma N$ are recovered, and corrections to them are given. The reactions $\pi\rightarrow e\nu \gamma$, $\pi\rightarrow e\nu e^+e^-$, $\gamma\pi\rightarrow \gamma\pi$ and $\gamma\gamma\rightarrow \pi\pi$ are also discussed. A general formula for $\pi\pi$ scattering and a new one loop effective action are obtained. The new effective action reproduces the KSFR relation, and yields specific estimates for the pion polarisabilities. A detailed comparison with baryon-free chiral perturbation theory to one loop is made. An extension of our effective action to two loops is outlined.
Yamagishi Hidenaga
Zahed Ismail
No associations
LandOfFree
A MASTER FORMULA FOR CHIRAL SYMMETRY BREAKING 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 A MASTER FORMULA FOR CHIRAL SYMMETRY BREAKING, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A MASTER FORMULA FOR CHIRAL SYMMETRY BREAKING will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-50001