Optimization of Renormalization Group Flow

Renormalization group flow equations for scalar lambda Phi^4 are generated using three classes of smooth smearing functions. Numerical results for the critical exponent nu in three dimensions are calculated by means of a truncated series expansion of the blocked potential. We demonstrate how the convergence of nu as a function of the order of truncation can be improved through a fine tuning of the smoothness of the smearing functions.Comment: 23 pages, 7 figure

The Effects of Emotion Strategies on E-negotiation Behavior and Outcome

Emotional strategies have been well discussed in the face-to-face negotiation, but few studies have explored its application in the electronic negotiation system (ENS). The popularity of enegotiation has made this issue critical not only to commercial negotiators or businesses, but to the researchers who studied negotiations and developers of ENS. Aiming to reveal the relationships between the emotional negotiation strategy, negotiation behavior and results on the ENS, a model was developed and tested in this study. Four emotional strategies were investigated in this study: Positive Emotion Strategy, Negative Emotion Strategy, Positive/Negative Emotion Strategy, and Negative/ Positive Emotion Strategy so as to disclose (1) which strategy will reach the greater joint outcome and achieve a win-win solution; (2) which strategy will lead to an broken up result. An ENS system was also developed explicitly for this study in order to conduct the experiment and questionnaire survey. Findings are expected to shorten the negotiation time and cost via facilitating the trust between negotiators by using an effective emotional strategy

Dimensional Crossover and Effective Exponents

We investigate the critical behavior of the lambda phi^4 theory defined on S^1 x R^d having two finite length scales beta, the circumference of S^1, and k^{-1}, the blocking scale introduced by the renormalization group transformation. By numerically solving the coupled differential RG equations for the finite-temperature blocked potential U_{beta,k}(Phi) and the wavefunction renormalization constant Z_{beta,k}(Phi), we demonstrate how the finite-size scaling variable betabar = beta k determines whether the phase transition is (d+1)- or d-dimensional in the limits betabar >> 1 and betabar << 1, respectively. For the intermediate values of betabar, finite-size effects play an important role. We also discuss the failure of the polynomial expansion of the effective potential near criticality.Comment: 24 pages, TeX, 8 figures in separate file, Updated version to appear in Nucl. Phys.