Vafa-Witten theorem and Lee-Yang singularities

Details Vafa-Witten theorem and Lee-Yang singularities Vafa-Witten theorem and Lee-Yang singularities

2002-04-16

arxiv.org/abs/hep-th/0204130v4

Phys.Rev.D80:127702,2009

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1103/PhysRevD.80.127702

We prove the analyticity of the finite volume QCD partition function for complex values of the theta-vacuum parameter. The absence of singularities different from Lee-Yang zeros only permits ^ cusp singularities in the vacuum energy density and never v cusps. This fact together with the Vafa-Witten diamagnetic inequality implies the vanishing of the density of Lee-Yang zeros at theta=0 and has an important consequence: the absence of a first order phase transition at theta=0. The result provides a key missing link in the Vafa-Witten proof of parity symmetry conservation in vector-like gauge theories and follows from renormalizability, unitarity, positivity and existence of BPS bounds. Generalizations of this theorem to other physical systems are also discussed, with particular interest focused on the non-linear CPn sigma model.

Affiliated with

Also associated with

No associations

Rating

Vafa-Witten theorem and Lee-Yang singularities 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 Vafa-Witten theorem and Lee-Yang singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vafa-Witten theorem and Lee-Yang singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-11306