Quantization of fields based on Generalized Uncertainty Principle

We construct a quantum theory of free scalar field in 1+1 dimensions based on a `Generalized Uncertainty Principle'. Both canonical and path integral formalism are employed. Higher dimensional extension is easily performed in the path integral formalism.Comment: 17pages, 2figure

Improved Renormalization Group analysis for Yang-Mills theory

We apply an improved renormalization group analysis for pure Yang-Mills theory at one loop order and obtained the result that a non-perturbatively generated pole mass of gluon emerges as $M_P^2/\Lambda^2 \simeq 0.66$, where $\Lambda$ is the $MS$-bar scale.Comment: 1+16 pages, 3 figures; ver 2, typos corrected, and some comments and references added; ver 3, some sentences corrected, a figure replaced and a number corrected; ver 4, in sec 2, the derivation of the main formula is refined, final version to appear in Prog.Theor.Phy

Gravitational string-membrane hedgehog and internal structure of black holes

We investigate charged Nambu-Goto strings/membrane systems in the Einstein-Maxwell theory in 3+1 dimensions. We first construct a charged string hedgehog solution that has a single horizon and conical singularity. Then we examine a charged membrane system, and give a simple derivation of its self energy. We find that the membrane may form an extremal Reissner-Nordstrom black hole, but its interior is a flat spacetime. Finally by combining the charged strings and the membrane we construct black hole solutions that have no singularities inside the horizons. We study them in detail by varying the magnitude of the two parameters, namely, the charge times the membrane tension and the string tension. We also argue that the strings have, due to the large redshift inside the system, a fair amount of degrees of freedom that may explain the entropy of the corresponding black holes.Comment: 22 pages, 13 figures, minor revisions, version published in PT

String creation in D6-brane background

The production of string charge during a crossing of certain oriented D-branes is studied. We compute the string charge in the system of a probe D2-brane and a background D6-brane by use of the equations of motion in the ten-dimensions. We confirm the creation of string charge as inflow from the background D6-brane.Comment: 11 pages, 1 figure, typos correcte

Geometric cross sections of rotating strings and black holes

Toshihiro Matsuo and Kin-ya Oda. Geometric cross sections of rotating strings and black holes. Phys. Rev. D 79, 026003, 2009. https://doi.org/10.1103/PhysRevD.79.026003

Enhancing the Driver's Comprehension of ADS's System Limitations: An HMI for Providing Request-to-Intervene Trigger Information

Level 3 automated driving systems (ADS) have attracted significant attention and are being commercialized. A Level 3 ADS prompts the driver to take control by requesting to intervene (RtI) when its operational design domain (ODD) or system limitations are exceeded. However, complex traffic situations may lead drivers to perceive multiple potential triggers of RtI simultaneously, causing hesitation or confusion during take-over. Therefore, drivers must clearly understand the ADS's system limitations to understand the triggers of RtI and ensure safe take-over. In this study, we propose a voice-based HMI for providing RtI trigger cues to help drivers understand ADS's system limitations. The results of a between-group experiment using a driving simulator showed that incorporating effective trigger cues into the RtI enabled drivers to comprehend the ADS's system limitations better and reduce collisions. It also improved the subjective evaluations of drivers, such as the comprehensibility of system limitations, hesitation in response to RtI, and acceptance of ADS behaviors when encountering RtI while using the ADS. Therefore, enhanced comprehension resulting from trigger cues is essential for promoting a safer and better user experience using ADS during RtI