### Abstract

We study the thermal phase diagram of pure SU(3) lattice gauge theory with fundamental and adjoint couplings. We improve previous estimates of the position of the bulk transition line and determine the thermal deconfinement transition lines for N_{t} = 2, 4, 6, and 8. The endpoint of the bulk transition line (β_{f}, β_{a}) = (4.00(7), 2.06(8)) improves upon earlier estimates obtained using smaller lattice sizes. For N_{t} > 4 the deconfinement transition line splits cleanly away from the bulk transition line. With increasing N_{t} the thermal deconfinement transition lines shift to increasingly weaker coupling, joining onto the bulk transition line at increasingly larger β_{a} in a pattern consistent with the usual universality picture of lattice gauge theories. We also discuss the possible consequences of an induced adjoint term from the fermionic determinant and determine this induced term numerically with a microcanonical demon method for two flavors of dynamical Wilson fermions.

Original language | English (US) |
---|---|

Pages (from-to) | 301-316 |

Number of pages | 16 |

Journal | Nuclear Physics B |

Volume | 442 |

Issue number | 1-2 |

DOIs | |

State | Published - May 22 1995 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*442*(1-2), 301-316. https://doi.org/10.1016/0550-3213(95)00137-9

**Thermal phase transition in mixed action SU (3) lattice gauge theory and Wilson fermion thermodynamics.** / Blum, T.; DeTar, C.; Heller, Urs M.; Kärkkäinen, Leo; Rummukainen, K.; Toussaint, William D.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 442, no. 1-2, pp. 301-316. https://doi.org/10.1016/0550-3213(95)00137-9

}

TY - JOUR

T1 - Thermal phase transition in mixed action SU (3) lattice gauge theory and Wilson fermion thermodynamics

AU - Blum, T.

AU - DeTar, C.

AU - Heller, Urs M.

AU - Kärkkäinen, Leo

AU - Rummukainen, K.

AU - Toussaint, William D

PY - 1995/5/22

Y1 - 1995/5/22

N2 - We study the thermal phase diagram of pure SU(3) lattice gauge theory with fundamental and adjoint couplings. We improve previous estimates of the position of the bulk transition line and determine the thermal deconfinement transition lines for Nt = 2, 4, 6, and 8. The endpoint of the bulk transition line (βf, βa) = (4.00(7), 2.06(8)) improves upon earlier estimates obtained using smaller lattice sizes. For Nt > 4 the deconfinement transition line splits cleanly away from the bulk transition line. With increasing Nt the thermal deconfinement transition lines shift to increasingly weaker coupling, joining onto the bulk transition line at increasingly larger βa in a pattern consistent with the usual universality picture of lattice gauge theories. We also discuss the possible consequences of an induced adjoint term from the fermionic determinant and determine this induced term numerically with a microcanonical demon method for two flavors of dynamical Wilson fermions.

AB - We study the thermal phase diagram of pure SU(3) lattice gauge theory with fundamental and adjoint couplings. We improve previous estimates of the position of the bulk transition line and determine the thermal deconfinement transition lines for Nt = 2, 4, 6, and 8. The endpoint of the bulk transition line (βf, βa) = (4.00(7), 2.06(8)) improves upon earlier estimates obtained using smaller lattice sizes. For Nt > 4 the deconfinement transition line splits cleanly away from the bulk transition line. With increasing Nt the thermal deconfinement transition lines shift to increasingly weaker coupling, joining onto the bulk transition line at increasingly larger βa in a pattern consistent with the usual universality picture of lattice gauge theories. We also discuss the possible consequences of an induced adjoint term from the fermionic determinant and determine this induced term numerically with a microcanonical demon method for two flavors of dynamical Wilson fermions.

UR - http://www.scopus.com/inward/record.url?scp=0001090497&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001090497&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(95)00137-9

DO - 10.1016/0550-3213(95)00137-9

M3 - Article

AN - SCOPUS:0001090497

VL - 442

SP - 301

EP - 316

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -