Skip to main content

Failure of Mean Field Theory at Large N

Publication ,  Journal Article
Chandrasekharan, S; Strouthos, CG
Published in: Physical Review Letters
2005

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.

Duke Scholars

Published In

Physical Review Letters

Publication Date

2005

Volume

94

Start / End Page

061601

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Chandrasekharan, S., & Strouthos, C. G. (2005). Failure of Mean Field Theory at Large N. Physical Review Letters, 94, 061601.
Chandrasekharan, S., and C. G. Strouthos. “Failure of Mean Field Theory at Large N.” Physical Review Letters 94 (2005): 061601.
Chandrasekharan S, Strouthos CG. Failure of Mean Field Theory at Large N. Physical Review Letters. 2005;94:061601.
Chandrasekharan, S., and C. G. Strouthos. “Failure of Mean Field Theory at Large N.” Physical Review Letters, vol. 94, 2005, p. 061601.
Chandrasekharan S, Strouthos CG. Failure of Mean Field Theory at Large N. Physical Review Letters. 2005;94:061601.

Published In

Physical Review Letters

Publication Date

2005

Volume

94

Start / End Page

061601

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences