Fermionic determinant with a linear domain wall in 2+1 dimensions |
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| Institution: | 1. Centro Atómico Bariloche, Instituto Balseiro, Comisión Nacional de Energı́a Atómica, 8400 Bariloche, Argentina;2. Centro Brasileiro de Pesquisas Fı́sicas, CBPF/MCT, Rua Dr. Xavier Sigaud, 150, 22290-180 Rio de Janeiro, RJ, Brazil;1. Department of Physics and Astronomy, University of Victoria, Victoria, BC V8P 5C2, Canada;2. TRIUMF, Vancouver, BC, V6T 2A3, Canada;3. Centro Brasileiro de Pesquisas Físicas/MCT, 22290-180, Rio de Janeiro, RJ, Brazil;4. Instituto de Física, Universidade Federal da Bahia, 40210-340, Salvador, BA, Brazil;5. International Center for Condensed Matter Physics, Instituto de Física, Universidade de Brasília, 70910-900, Brasília, DF, Brazil;1. Department of Mathematics, The Ohio State University, Columbus, OH 43210-1174, USA;2. Department of Physics, University of Connecticut, Storrs, CT 06269-3046, USA;1. Consortium for Fundamental Physics, School of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, United Kingdom;2. Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland |
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| Abstract: | We consider a Dirac field in 2+1 Euclidean dimensions, in the presence of a linear domain wall defect in its mass, and a constant electromagnetic field. We evaluate the exact fermionic determinant for the situation where the defect is assumed to be rectilinear, static, and the gauge field is minimally coupled to the fermions. We discuss the dependence of the result on the (unique) independent geometrical parameter of this system, namely, the relative orientation of the wall and the direction of the external field. We apply the result for the determinant to the evaluation of the vacuum energy. |
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