Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1997-12-16
Physics
High Energy Physics
High Energy Physics - Lattice
39 pages, latex2e, lecture given at the symposium on "Field theoretical tools in polymer and particle physics", Wuppertal, Jun
Scientific paper
10.1007/BFb0106886
Quantum chromodynamics has a rather complicated phase structure. The finite temperature, chiral phase structure depends on the number of flavours and to a large extent on the particular values of the fermion masses. For two massless flavours there is a true second order transition. It has been argued that this transition belongs to the universality class of the three-dimensional O(4) spin model. The arguments have been questioned recently, and the transition was claimed to be mean field behaved. In this lecture we discuss this issue at the example of the three-dimensional, parity symmetric Gross-Neveu model at finite temperature, with a large number N of fermions. At zero temperature there is a phase where parity is spontaneously broken. At finite temperature, this model has a parity restoring second order transition. It reveals considerable similarity to the QCD chiral phase transition. There are related questions here concerning the universality class. We solve this problem essentially by means of the following methods: Large N expansion, dimensional reduction in the framework of quantum field theory, and high order convergent series expansions about disordered lattice systems.
No associations
LandOfFree
The Gross-Neveu model and QCDs chiral phase transition 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 The Gross-Neveu model and QCDs chiral phase transition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Gross-Neveu model and QCDs chiral phase transition will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-156790