Do numbers extracted near crossovers represent continuum physics?

Gyan Bhanot, Roger Dashen

Research output: Contribution to journalArticle

64 Scopus citations


We study the fundamental-adjoint SU(2) lattice gauge theory in four dimensions by Monte Carlo simulations. We show that the string tension at the endpoint of the first-order line is finite. The endpoint is therefore not a second-order critical point of the traditional variety. We also measure the lattice Λ parameter from simulations along a line close to this endpoint and find Λ = (3.0 ± 0.3) × 10-3 σ. This disagrees from previous measurements for the pure fundamental Wilson theory by a factor of 4. Our results cast serious doubt on all continuum limit estimates made near quasi-critical and crossover regions.

Original languageEnglish (US)
Pages (from-to)299-302
Number of pages4
JournalPhysics Letters B
Issue number4
StatePublished - Jun 24 1982
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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