We argue that there is no essential violation of universality in the continuum limit of mixed RP n−1 and O(n) lattice sigma models in 2 dimensions, contrary to opposite claims in the literature.

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This study examines the composing process and authorial agency of a college ESL writer as she remediated an argumentative essay into a multimodal digital video. Employing principles of sociosemiotic ethnography, and drawing on the concepts of resemiotization and recontextualization, the study investigated multiple types of data, including an argumentative paper, video transcript, multimedia video, interview transcripts, and observation notes. Data analysis shows that her choice and orchestration of modal resources were shaped by her textual identity construction work, efforts to accommodate perceived audiences, and previous experience with the medium. Remediation with multimedia offered the student more semiotic resources to expand authorship, but the contextual forces of audience and medium bounded her authorial expression. The student's multimodal writing illustrated discursive processes of negotiating and performing authorial positions for rhetorical goals with awareness of the linguistic, social, and cultural contexts of text production. This investigation ultimately aims to expand aspects of multimodal writing and literacy practice by examining the discursive nature of the design process in linguistically and culturally diverse contexts.

We calculate the finite volume mass gap M (L) at 3-loop level in the non-linear O(n) σ-model in two dimensions in small volumes. By applying the Monte Carlo measurements of the running couplingḡ 2 (L) = 2nM (L)L/(n − 1) by Lüscher, Weisz and Wolff [1] measured in units of the physical mass gap m, the result is used to determine m in units of the Λ-parameter in the O(3) and O(4) models. Our determinations show good agreement with those by Hasenfratz, Maggiore and Niedermayer [2,3] in both models. We note that this manuscript has been revised in our paper hep-lat/9810025 by using the corrected four-loop β-function on the lattice.