On the cancellation of fermion loops in chiral gauge theories in (1+1) dimensions |
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| Affiliation: | 1. ECOMARE- Laboratory for Innovation and Sustainability of Marine Biological Resources, CESAM ˗ Centre for Environmental and Marine Studies & Department of Biology, Campus Universitário de Santiago, University of Aveiro, 3810-193 Aveiro, Portugal;2. ECOMARE - Laboratory for Innovation and Sustainability of Marine Biological Resources, CESAM - Centre for Environmental and Marine Studies & Department of Chemistry, University of Aveiro, Campus Universitário de Santiago, 3810-193 Aveiro, Portugal;3. Mass Spectrometry Centre & LAQV-REQUIMTE, Department of Chemistry, University of Aveiro, Campus Universitário de Santiago, 3810-193 Aveiro, Portugal;1. Medicine School, Health Sciences Faculty, Universidad Peruana de Ciencias Aplicadas (UPC), Lima, Peru;2. Research Center and Innovation of the Health Sciences Faculty, Universidad Peruana de Ciencias Aplicadas (UPC), Lima, Peru;3. Instituto de Investigación Nutricional (IIN), Lima, Peru |
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| Abstract: | We show that for chiral gauge theories in (1+1) dimensions, with the gauge field coupling only to left(right)-handed fermions, the fermion loop contributions cancel in the vacuum expectation value of gauge invariant quantities, if the regularization of the theory respects the left(right)-handed coupling. |
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