42472896
Kähler manifolds with vanishing chiral potential.
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.
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.
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.
121345541
Instantons with fractional topological charge
Abstract We introduce and discuss the properties of multivalent gauges for Yang-Mills fields, and demonstrate the existence of instantons with fractional topological charges in such gauges.
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}.
11075073
Generalized Jaynes-Cummings model with an intensity-dependent coupling interacting with a quantum group-theoretic coherent state.
We present a generalized Jaynes-Cummings model (JCM) with an intensity-dependent coupling interacting with a quantum group-theoretic coherent state. The field operators of the JCM Hamiltonian are identified as the elements of the su(q)(1,1) quantum algebra in their Holstein-Primakoff realizations. We lay emphasis on the time evolution of field quadruatures and atomic population inversion of the generalized JCM. The revivals of radiation squeezing are obtained for any values of initial squeezing.
20487228
Theory of magnon-hole interaction for the anisotropic t-J model.
The general Holstein-Primakoff transformation is used to get a theory of the magnon-hole interaction for the anisotropic t-J model in a three-dimensional tetragonal lattice. The sublattice magnetization, internal energy, and specific heat are calculated by taking into account the contributions of magnon-magnon, magnon-hole, and hole-hole as well as antiferromagnetic spin polaron interactions. We obtain a uniform expression for these quantities, which is governed by the concentration of doping and the anisotropic degree. The results show that the effect of the small interlayer coupling in a layered realistic copper-oxide superconductors turns indeed the temperature dependence of the physical quantities from two-dimensional to quasi-two-dimensional behavior at low temperature.
38291756
Quantum critical phenomena and conformal invariance.
40566613
Spectra of symmetric-top molecules and the quantum-deformed-symmetric-top model.
By means of geometric quantization, we discuss the quantum-deformed-symmetric-top model. We show that the quantum-deformed symmetric top and the quantum-standard symmetric top obey the same Heisenberg equations of motion. The quantum-deformed-symmetric-top model possess quantum group symmetry; thus the quantum group can be dynamical symmetries of the symmetric-top system