The origin of the pion mass |
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| Affiliation: | 1. Universidad de Alcalá (UAH), Departamento de Física y Matemáticas, Campus Universitario, Alcalá de Henares, E-28805, Madrid, Spain;2. Dipartimento di Fisica, Università della Calabria, Ponte Pietro Bucci, Cubo 31C, Arcavacata di Rende, I-87036, Cosenza, Italy;3. INFN, Gruppo Collegato di Cosenza, Ponte Pietro Bucci, Cubo 31C, Arcavacata di Rende, I-87036, Cosenza, Italy;1. Technische Universität München, Physik-Department, 85748 Garching, Germany;2. IFAE and BIST, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain;3. Departament de Física, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain;1. Grupo de Física Matemática, Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, Edifício C6, 1749-016 Lisboa, Portugal;2. Departamento de Análisis Matemático y Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain;1. Department of Physics, Davey Laboratory, The Pennsylvania State University, University Park, PA 16802, United States;2. H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, Kraków, Poland;1. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany |
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| Abstract: | We discuss the origin of the pion mass using a simple model of the QCD vacuum as a condensate of overlapping quark-antiquark pairs. We analyze the relationship between local conservation of the axial current and the nonzero current quark mass. Away from the chiral limit, we find that the pion mass comes from a change in the geometry of the overlap of condensed pairs. |
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