Do charged pions condense in a magnetic field with rotation?

We revisit the condensation scenario of charged pions in external magnetic field and rotation, which was first considered by Y. Liu and I. Zahed. Based on the Ginzburg-Landau analysis of the Nambu--Jona-Lasinio model, we find that the charged-pion condensation takes place only when both a strong coupling constant and negatively large baryon chemical potential are applied. Besides, our numerical calculation shows that the chiral restoration induced by the interplay between magnetic field and rotation (i.e., the rotational magnetic inhibition) interrupts the formation of the charged-pion condensate. This suggests that the analysis of such condensation requires a careful treatment of the inner structure of pions, which was not taken into account before. We also discuss the underlying physical mechanism of our finding and the indication of charged-rho condensation.Comment: V2: 10 pages, 4 figure

Gauged Q ball in a piecewise parabolic potential

Q ball solutions are considered within the theory of a complex scalar field with a gauged U(1) symmetry and a parabolic-type potential. In the thin-walled limit, we show explicitly that there is a maximum size for these objects because of the repulsive Coulomb force. The size of Q ball will increase with the decrease of local minimum of the potential. And when the two minima degenerate, the energy stored within the surface of the Q ball becomes significant. Furthermore, we find an analytic expression for gauged Q ball, which is beyond the conventional thin-walled limit.Comment: 1 figure

Substitutor or Assistant: The Double-Edged Sword Effect of Artificial Intelligence Images on OTPs

Recently, the green concept has become integral to education, leading to the rise of paperless online teaching. With the rapid development of online teaching platforms (OTPs) due to the pandemic, studies on user behavior have gained momentum. However, most studies have focused on students’ online learning attitudes and behaviors, neglecting in-depth analysis of teachers’ behaviors on OTPs. OTPs can either assist or substitute teachers, enhancing efficiency but also causing anxiety. This paper proposes reframing OTPs as assistants to reduce teachers’ resistance. We investigate if the OTP image (assistant vs. substitutor) impacts teachers’ satisfaction in a specific online teaching context, exploring its explanatory mechanisms. A study of 2*2 group experiments revealed that teachers were less threatened by the assistant OTP image and thus more satisfied. Experiment 1 confirmed that the OTP image influenced teachers’ willingness to recommend and satisfaction. Experiment 2 again tested the effect of different images of OTP (facilitator vs. substitute vs. control group) on teacher satisfaction, and the pie verified the mediating role of identity threat in this effect. Experiment 3 verified that self-affirmation as a moderating variable mitigates identity threats due to the alternative image of the OTP. Therefore, in the future promotion of AI products, more emphasis should be placed on assisting users rather than completely replacing traditional human hands, thus weakening the identity threat posed by AI products to users. The findings of this study enrich the study on teachers’ attitudes towards OTPs, dissect the sources of users’ (teachers’) satisfaction with OTPs from the perspective of product/brand (OTP) image, and provide guidance on how OTPs can choose the appropriate image positioning and promotional language