Failure of mean field theory at large N.

Journal Article (Journal Article)

We study strongly coupled lattice QCD with N colors of staggered fermions in 3+1 dimensions. While mean field theory describes the low temperature behavior of this theory at large N, it fails in the scaling region close to the finite temperature second order chiral phase transition. The universal critical region close to the phase transition belongs to the 3D XY universality class even when N becomes large. This is in contrast to Gross-Neveu models where the critical region shrinks as N (the number of flavors) increases and mean field theory is expected to describe the phase transition exactly in the limit of infinite N. Our work demonstrates that infrared fluctuations can be important close to second order phase transitions even when N is strictly infinite.

Full Text

Duke Authors

Cited Authors

  • Chandrasekharan, S; Strouthos, CG

Published Date

  • February 14, 2005

Published In

Volume / Issue

  • 94 / 6

Start / End Page

  • 061601 -

PubMed ID

  • 15783719

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/physrevlett.94.061601


  • eng