### Abstract

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 language | English (US) |
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Pages (from-to) | 299-302 |

Number of pages | 4 |

Journal | Physics Letters B |

Volume | 113 |

Issue number | 4 |

DOIs | |

State | Published - Jun 24 1982 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

Bhanot, G., & Dashen, R. (1982). Do numbers extracted near crossovers represent continuum physics?

*Physics Letters B*,*113*(4), 299-302. https://doi.org/10.1016/0370-2693(82)90043-0