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Exact discreteness and mass gap of N = 1 symplectic Yang‐Mills from M‐theory
Author(s) -
Boulton L.,
García del Moral M.P.,
Restuccia A.
Publication year - 2007
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200610348
Subject(s) - symplectic geometry , physics , riemann surface , genus , mathematical physics , mass gap , yang–mills theory , quantum mechanics , pure mathematics , mathematics , gauge theory , botany , biology
In this note we summarize some of the results found recently in [1]. We show the pure discreteness of the non‐perturbative quantum spectrum of a symplectic Yang‐Mills theory defined on a Riemann surface of positive genus, living in a target space that, in particular, can be 4D. This theory corresponds to the membrane with central charges. The presence of the central charge induces a confinement in the phase at zero temperature. When the energy rises, the center of the group breaks and the theory enters in a quark‐plasma phase after a topological transition, corresponding to the N = 4 wrapped supermembrane.