Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-11-19
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, 1 figure. Invited talk at "Renormalization Group and Anomalies in Gravity and Cosmology", Ouro Preto,Brazil, March 17
Scientific paper
10.1016/S0920-5632(03)02395-8
The highly non-trivial structure of the $\theta$--vacuum encodes many of the fundamental properties of gauge theories. In particular, the response of the vacuum to the $\theta$--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.
No associations
LandOfFree
Vacuum energy and $θ$--vacuum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Vacuum energy and $θ$--vacuum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vacuum energy and $θ$--vacuum will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-406284