The spectrum of SU(N) gauge theories at nonzero theta

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dc.creatorDel Debbio, Luigi
dc.creatorManca, Gian Mario
dc.creatorPanagopoulos, Haralambos
dc.creatorSkouroupathis, Apostolos
dc.creatorVicari, Ettore
dc.date2006-10-09
dc.date.accessioned2026-07-07T10:42:34Z
dc.date.available2026-07-07T10:42:34Z
dc.descriptionWe study the theta dependence of the spectrum of four-dimensional SU(N) gauge theories, where theta is the coefficient of the topological term in the Lagrangian, for N>=3 and in the large-N limit. We compute the O(theta^2) terms of the expansions around theta=0 of the string tension and the lowest glueball mass, respectively sigma(theta) = sigma (1 + s_2 theta^2 + ...) and M(theta) = M (1 + g_2 theta^2 + ...), where sigma and M are the values at theta=0. For this purpose we use numerical simulations of the Wilson lattice formulation of SU(N) gauge theories for N=3,4,6. The O(theta^2) coefficients turn out to be very small for all N>=3. For example, s_2=-0.08(1) and g_2=-0.06(2) for N=3. Their absolute values decrease with increasing N. Our results are suggestive of a scenario in which the theta dependence in the string and glueball spectrum vanishes in the large-N limit, at least for sufficiently small values of |theta|. They support the general large-N scaling arguments that indicate (theta/N) as the relevant Lagrangian parameter in the large-N expansion.
dc.description7 pages, 4 figures. Talk presented at Lattice 2006
dc.identifierhttps://arxiv.org/abs/hep-th/0610100
dc.identifierhttp://arxiv.org/abs/hep-th/0610100
dc.identifierPoSLAT2006:045,2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181992
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.titleThe spectrum of SU(N) gauge theories at nonzero theta
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