In this paper, we construct the recursion relations for one-loop planar integrands in $SU(N)$ nonlinear sigma model. This generalizes soft recursions tree-level amplitudes a variety of quantum field theories with special limits. The main ingredient is definition integrand, which fixed by cuts sense generalized unitarity and requiring Adler zero on all external legs. We show that does not unique...

An implication of the spontaneous chiral symmetry breaking in QCD is that at low energy and resolution there appear quasiparticles-constituent quarks and Goldstone bosons. Thus, light and strange baryons should be considered as systems of three constituent quarks with confining interaction and a chiral interaction that is mediated by Goldstone bosons between the constituent quarks. We show how ...

A pseudo-Goldstone boson for quintessence is known to require the decay constant Fq ∼ MP and the height of the potential (0.003 eV)4, and hence the pseudo-Goldstone boson mass of order 10−33 eV. The modeldependent axion in some superstring models is suggested as a good candidate for the quintessence. We realize this idea with a hidden-sector gauge group SU(3)H × U(1)H . The hidden-sector instan...

Pseudo-Goldstone bosons couple with photons through a P and T violating interaction of the form L I = g aγγ aF˜F. Strong magnetic fields in rotating compact stars induce a non-zero E · B outside the stellar surface which acts as a source for the pseudo-scalar field. Pulsar signals propagating through this pseudo-scalar 'hair' suffer a differential time lag between the left and the right circula...