Submissions from A. Weigel

[1]  faKiv:1912.07339 [pdf]
Defectively crossovers between two-dimensional two-state fields in the presence of an external magnetic field
Comments: 5 pages, revtex4; minor changes and references added

We study the two-dimensional two-state field in the presence of an external magnetic field. We study the defect-free two-state solutions of the QFT theory for one-component fields in the two-dimensional field theory. The defect-free solutions have three-dimensional areas, and we find that there is a first-order differential equation which is a consequence of the absence of any external magnetic field. We then compute the first-order equations for the defect-free solution for the two-dimensional two-state field in the presence of an external magnetic field, and find that their dimension is very small.

[2]  faKiv:1912.08103 [pdf]
Acknowledgements
Comments: 38 pages, 8 figures

In accordance with the idea that the Weyl moduli space should be considered as a table, we consider the Weyl moduli space of the partition function of a Weyl partition function. The Weyl partition function, in turn, identifies the partition function of a Weyl partition function in the Weyl moduli space. We demonstrate that the Weyl partition function is the result of the simplest Weyl partition function. We discuss the role of Weyl partition function in the calculation of the Weyl tensor product and the Weyl truncation for the Weyl tensor product.