2240754
Bifurcation and dynamical symmetry breaking in a renormalization-group-improved field theory.
We formulate the renormalization-group-improved theory for an m/sub r/not =0 (massive) QCD Lagrangian. The Green's functions are parametrized in terms of two renormalization-group--invariant quantities, M/sub 0/ and ..lambda../sub c/. The theory exhibits usual analyticity structure for every M/sub 0/>..lambda../sub c/e/sup 1/6/. In the limit M/sub 0/ = ..lambda../sub c/e/sup 1/6/, m/sub r/ becomes zero. The theory exhibits bifurcation in this limit, and chiral symmetry remains broken. is calculated in this limit.
18392660
Chirality in the Early Universe
The early big bang is an alphabet soup of quarks, W bosons, gluons, and other exotic particles and flavors. In the usual scenario, there is no place for the pion. It dissociates in the alphabet soup of the early universe. I will show that this scenario is naive. The thermal vacuum is a far more complex state, and the pion remains a Nambu-Goldstone particle at high $T$, and will not dissociate. It propagates at the speed of light but {\em with a halo}.
122809875
FIVE DECADES AFTER THE REVOLUTION: HOW MUCH DO WE KNOW ABOUT THE NEUTRINO?
It is a pleasure to dedicate this talk to Prof Yang on the occasion of his 85th birthday, especially here in my birthplace, Singapore. I still recall the year 1957 when the local Chinese newspapers broke with the story of breakdown of parity, I didn’t understand the phrase , and when I checked into my high school physics text, I couldn’t find any explanation. The Chinese newspapers , call this Lee–Yang breakthrough a revolution, but it was hardly noticed by the English newspapers at the time. It wasn’t until I came to the U.S. in the Fall of 1957, that a true revolution occurred. I think I can speak for a whole generation of ethnic Chinese physicists who grew up in the U.S. that we personally benefitted far more from this revolution than the revelation of parity non-conservation.
120226155
Impact parameters: A geometrical picture of inelastic scattering
Abstract The constraints on the impact-parameter description of arbitrary n -body scattering due to the Lorentz group are shown to take a simple form at very high energies. The produced jet of beam fragmentation products, each with b i , and x i , will be centered about the impact parameter b of the incident beam. A geometrical language can be introduced for the description of inelastic scattering and a simple model is proposed based on this picture. The single-fragmentation inclusive cross section is shown to rise as log s if the total cross section rises as log-squared. In a bremsstrahlung-type model, it is shown that an energy-dependent eikonal of the Cheng-Wu type can be compatible with the apparently linear fit to the Wroblewski plot.
123020230
New Renormalization Program for Broken Gauge Theories
We derive a new renormalization-group theorem which expressly relates the parameters of the symmetric high-energy theory to the parameters of the broken, low-energy theory. The relation is an analytic one. It summarizes the threshold effects by leapfrogging across each threshold and provides a connection formula. The relation is derived for an arbitrary group hierarchy structure.
121599412
Decoupling renormalization and hierarchies
We introduce the decoupling renormalization scheme for the one-particle irreducible Green's functions of a theory that has a mass hierarchy. The decoupling-subtraction renormalization-group equations respect a tree-level hierarchy. Thus, fine tuning is to be done only at the tree level.
25715346
Dynamics of generalized photonic fields interacting with atoms.
We generalize the electromagnetic mode to be dependent on the deformation parameter and investigate the dynamics of the generalized photonic fields that possess quantum group symmetry interacting with atoms. Radiative decays and line shifts of an excited atom are obtained in this system. When an atom is in an intense field, the time development operator, intensity operator, and the time variation of the photon distribution are given in an explict way both with and without intensity-dependent coupling. The results of Chaichian, Ellinas, and Kulish [Phys. Rev. Lett. 65, 980 (1990)] are recovered in case of resonance. We also discuss the dynamics of the coupled N-atom system in detail.
38291756
Quantum critical phenomena and conformal invariance.