Vacuum energy and theta vacuum

--term perturbation is sensitive to the existence of confinement, chiral symmetry breaking, etc. We analyze the dependence of the vacuum energy density on theta around two special values,

\theta=0

and

\theta=\pi

. The existence or not of singular behaviors associated to spontaneous breaking of CP symmetry in these vacua has been a controversial matter for years. We clarify this important problem by means of continuum non-perturbative techniques. The results show the absence of first order cusp singularities on the vacuum energy density at

\theta=0

and

\theta=\pi

for some gauge theories. This smooth dependence of the energy on

\theta

might have implications for long standing cosmological problems like the baryonic asymmetry and the cosmological constant problem.

talk: Ouro Preto 2003/03/17
gauge field theory: Yang-Mills
fermion: determinant
vacuum state: energy
path integral
Theta parameter
analytic properties
Vafa-Witten theorem

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