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We consider the matrix regularization of fields on a Riemann surface which couple to gauge fields with a nonvanishing magnetic flux. We show that such fields are described as rectangular… Click to show full abstract
We consider the matrix regularization of fields on a Riemann surface which couple to gauge fields with a nonvanishing magnetic flux. We show that such fields are described as rectangular matrices in the matrix regularization. We construct the matrix regularization explicitly for the case of the sphere and torus based on the Berezin-Toeplitz quantization, and also discuss a possible generalization to cases with higher genera. We also discuss the matrix version of the Laplacian acting on the rectangular matrices.
Keywords:
magnetic fluxes;
regularization riemann;
riemann surfaces;
matrix regularization;
regularization;
surfaces magnetic
Journal Title: Physical Review D
Year Published: 2020
Link to full text (if available)
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Journal Title: Physical Review D
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!