The small-volume expansion of gauge theories coupled to massless fermions |
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| Institution: | 1. Cluster of Applied Sciences, Open University Malaysia, Malaysia;2. Research Center for Quantum Physics, Huzhou University, Huzhou 313000, China;3. Laboratorio de Información Cuántica, CIDETEC, Instituto Politécnico Nacional, UPALM, C.P. 07700, CDMX, Mexico;1. Institute for Nuclear Research, Hungarian Academy of Sciences (Atomki), Debrecen, Pf. 51, 4001, Hungary;2. Faculty of Informatics, University of Debrecen, Debrecen, Pf. 400, 4002, Hungary |
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| Abstract: | The small-volume expansion of the low-lying glueball states for SU(2) and SU(3) gauge theory, coupled to massless fermions with periodic and antiperiodic boundary conditions, is determined. For SU(3) with periodic boundary conditions the vacuum is eightfold degenerate and breaks part of the cubic group spontaneously. In all cases the scalar-to-tensor mass ratio mA1++/mE++ is 1.1 to 1.3 as in the pure-gauge case. We also discuss chiral symmetry. |
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