Asymmetric effects at 3D Ising-like critical points

✍ Scribed by M. Tsypin

• Book ID: 104354407
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 254 KB
• Volume: 119
• Category: Article
• ISSN: 0920-5632
• DOI: 10.1016/s0920-5632(03)01702-x

✦ Synopsis

The Standard Model of electroweak interactions has a line of first order phase transition in the plane (higgs mass, temperature) that ends in a critical point belonging to the 3D Ising model universality class [K. Rummukainen et al, hep-lat/9805013]. Similar critical points are found in finite-temperature QCD [M. Stephanov et al, hepph/9806219; F. Karsch et al, hep-lat/0107020].

When these critical points are studied by Monte Carlo simulations on the lattice, one observes certain residual deviations from Zz symmetry (which is exact for the Ising model).

Here we study whether such deviations can be attributed to asymmetric corrections to scaling, which are relatively poorly studied. We compute the critical exponents in the local potential approximation (LPA), that is, in the framework of the Wegner-Houghton equation. We find that the exponent for the leading antisymmetric correction to scaling is approximately 1.691 in the LPA. This high value implies that such corrections cannot explain observed asymmetries.