Symbol Invariant of Partition and the Construction

The symbol is used to describe the Springer correspondence for the classical groups. We propose equivalent definitions of symbols for rigid partitions in the $B_n$, $C_n$, and $D_n$ theories uniformly. Analysing the new definition of symbol in detail, we give rules to construct symbol of a partition, which are easy to remember and to operate on. We introduce formal operations of a partition, which reduce the difficulties in the proof of the construction rules. According these rules, we give a closed formula of symbols for different theories uniformly. As applications, previous results can be illustrated more clearly by the construction rules of symbol.Comment: 31 pages,typo corrected,english improve

Rigid Surface Operators and Symbol Invariant of Partitions

The symbol is used to describe the Springer correspondence for the classical groups by Lusztig. We refine the explanation that the $S$ duality maps of the rigid surface operators are symbol preserving maps. We find that the maps $X_S$ and $Y_S$ are essentially the same. We clear up cause of the mismatch problem of the total number of the rigid surface operators between the $B_n$ and $C_n$ theories. We construct all the $B_n/C_n$ rigid surface operators which can not have a dual. A classification of the problematic surface operators is made.Comment: 23 pages, 26 figures,typo corrected, english improve

Negative Energy: From Lamb Shift to Entanglement

"Negative energy" has been one of the most enduring puzzles in quantum theory, whereas the present work reveals that it actually plays a central role in clarifying various controversies of quantum theory. The basic idea is contained in a hypothesis on negative energy, and it is shown that the idea: (1)is compatible with both relativistic quantum mechanics and known experimental results; (2)helps to clarify the essence of matter waves, and therefore better understand the reality of the wave function, the so-called 'wave-packet reduction' occurring in quantum measurement, and the ghost like correlations between entangled systems; (3)is helpful for distinguishing the vacuum from the ground state of the quantized field, and may supply a possible way for removing the deep-rooted infinities in quantum field theory. The vacuum energy density of the electromagnetic field is calculated here as an example. By employing the same idea, the Lamb-Shift is recalculated in a different way from conventional renormalization method, yet the same result as Bethe's can be definitely obtained.Comment: 15 page

Inferring dissipation from the violation of Fluctuation-Dissipation Theorem

The Harada-Sasa equality elegantly connects the energy dissipation rate of a moving object with its measurable violation of the Fluctuation-Dissipation Theorem (FDT). Although proven for Langevin processes, its validity remains unclear for discrete Markov systems whose forward and backward transition rates respond asymmetrically to external perturbation. A typical example is a motor protein called kinesin. Here we show generally that the FDT violation persists surprisingly in the high-frequency limit due to the asymmetry, resulting in a divergent FDT violation integral and thus a complete breakdown of the Harada-Sasa equality. A renormalized FDT violation integral still well predicts the dissipation rate when each discrete transition produces a small entropy in the environment. Our study also suggests a new way to infer this perturbation asymmetry based on the measurable high-frequency-limit FDT violation.Comment: 10 pages, 4 figure

Exact microscopic wave function for a topological quantum membrane

The higher dimensional quantum Hall liquid constructed recently supports stable topological membrane excitations. Here we introduce a microscopic interacting Hamiltonian and present its exact ground state wave function. We show that this microscopic ground state wave function describes a topological quantum membrane. We also construct variational wave functions for excited states using the non-commutative algebra on the four sphere. Our approach introduces a non-perturbative method to quantize topological membranes

Complete next-to-leading order QCD corrections to charged Higgs boson associated production with top quark at the CERN Large Hadron Collider

The complete next-to-leading order (NLO) QCD corrections to charged Higgs boson associated production with top quark through $b g \to tH^{-}$ at the CERN Large Hadron Collider are calculated in the minimal supersymmetric standard model (MSSM) and two-Higgs-doublet model in the $\bar{MS}$ scheme. The NLO QCD corrections can reduce the scale dependence of the leading order (LO) cross section. The K-factor (defined as the ratio of the NLO cross section to the LO one) does not depend on $\tan\beta$ if the same quark running masses are used in the NLO and LO cross sections, and varies roughly from $\sim 1.6$ to $\sim 1.8$ when charged Higgs boson mass increases from 200 GeV to 1000 GeV.Comment: 31 pages, discussions, figs and refs added, conclusion unchanged, final PRD versio

Dark Matter Signature from the Sky and at Colliders

In this talk, we briefly review our recent investigations on the properties of dark matter (DM) particle.Comment: 4 pages, talk at ICHEP201

Supersymmetric QCD corrections to lightest Higgs boson associated production with top quark pair at Linear Colliders

Supersymmetric (SUSY) QCD corrections to the lightest neutral Higgs boson associated production with top quark pair are studied in the minimal supersymmetric standard model (MSSM) at Linear colliders. Our calculations show that the SUSY QCD effects generally are very moderate (say 10%) and under control, except for some rescattering effects which lead to a breakdown of perturbation theory and require a more detailed study. In the vicinity of the production threshold for the favorable model parameters under the framework of the on-shell renormalization scheme, SUSY QCD can be as large as about -50%. Such effects might be acted as the probe to determine the sign of $M_{LR}\equiv A_t-\mu/\tan\beta$.Comment: 14 pages, 3 fig

Way to Discriminate between Mesons and Glueballs for I=0,JPC=even++I=0, J^{PC}=even^{++} Unflavored Hadrons

Based on the general analysis of branching ratio of two pseudoscalar meson channels, discriminants between mesons and glueballs for $I=0, J^{PC}=even^{++}$ unflavored hadrons with mass between 1.2 GeV and 2.9 GeV are suggested. Known $I=0, J^{PC}=2^{++}, f_2(1525)$ particle is discriminated as a typical meson. The way to discriminate new $I=0, J^{PC}=even^{++}$ unflavored hadrons is discussed.Comment: 9 pages including 2 eps figure

Positivity of heights of codimension 2 cycles over function field of characteristic 0

In this note, we show how the classical Hodge index theorem implies the Hodge index conjecture of Beilinson for height pairing of homologically trivial codimension two cycles over function field of characteristic 0. Such an index conjecture has been used in our paper on Gross-Schoen cycles to deduce the Bogomolov conjecture and a lower bound for Hodge class (or Faltings height) from some conjectures about metrized graphs which have just been recently proved by Zubeyir Cinkir