### 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) |
---|---|

Pages (from-to) | 299-302 |

Number of pages | 4 |

Journal | Physics Letters B |

Volume | 113 |

Issue number | 4 |

DOIs | |

State | Published - Jun 24 1982 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Physics Letters B*,

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

}

*Physics Letters B*, vol. 113, no. 4, pp. 299-302. https://doi.org/10.1016/0370-2693(82)90043-0

**Do numbers extracted near crossovers represent continuum physics?** / Bhanot, Gyan; Dashen, Roger.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Do numbers extracted near crossovers represent continuum physics?

AU - Bhanot, Gyan

AU - Dashen, Roger

PY - 1982/6/24

Y1 - 1982/6/24

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000384589&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000384589&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(82)90043-0

DO - 10.1016/0370-2693(82)90043-0

M3 - Article

AN - SCOPUS:0000384589

VL - 113

SP - 299

EP - 302

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4

ER -