### Abstract

We study gauge boson propagators in the symmetric and symmetry broken phases of the 3D, SU(2) gauge-Higgs model. Correlation functions for the gauge fields are calculated in Landau gauge. They are found to decay exponentially at large distances leading to a non-vanishing mass for the gauge bosons. We find that the W-boson screening mass drops in the symmetry broken phase when approaching the critical temperature. In the symmetric phase the screening mass stays small and is independent of the scalar-gauge coupling (the hopping parameter). Numerical results coincide with corresponding calculations performed for the pure gauge theory. We find m_{w} = 0.35(1)g^{2}T in this phase which is consistent with analytic calculations based on gap equations. This is, however, significantly smaller than masses extracted from gauge-invariant vector boson correlation functions. As internal consistency check we also have calculated correlation functions for gauge-invariant operators leading to scalar and vector boson masses. Finite lattice size effects have been systematically analyzed on lattices of size L^{2} × L_{z} with L = 4 - 24 and L_{z} = 16 - 128.

Original language | English |
---|---|

Pages (from-to) | 217-232 |

Number of pages | 16 |

Journal | Nuclear Physics B |

Volume | 474 |

Issue number | 1 |

DOIs | |

Publication status | Published - Aug 19 1996 |

### Fingerprint

### Keywords

- Critical behaviour
- Electroweak phase transition
- Lattice simulations
- Spontaneous symmetry breaking
- SU(2) gauge-Higgs model
- Thermal gauge boson masses

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*474*(1), 217-232. https://doi.org/10.1016/0550-3213(96)00224-6

**Gauge boson masses in the 3D, SU(2) gauge-Higgs model.** / Karsch, F.; Neuhaus, T.; Patkós, A.; Rank, J.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 474, no. 1, pp. 217-232. https://doi.org/10.1016/0550-3213(96)00224-6

}

TY - JOUR

T1 - Gauge boson masses in the 3D, SU(2) gauge-Higgs model

AU - Karsch, F.

AU - Neuhaus, T.

AU - Patkós, A.

AU - Rank, J.

PY - 1996/8/19

Y1 - 1996/8/19

N2 - We study gauge boson propagators in the symmetric and symmetry broken phases of the 3D, SU(2) gauge-Higgs model. Correlation functions for the gauge fields are calculated in Landau gauge. They are found to decay exponentially at large distances leading to a non-vanishing mass for the gauge bosons. We find that the W-boson screening mass drops in the symmetry broken phase when approaching the critical temperature. In the symmetric phase the screening mass stays small and is independent of the scalar-gauge coupling (the hopping parameter). Numerical results coincide with corresponding calculations performed for the pure gauge theory. We find mw = 0.35(1)g2T in this phase which is consistent with analytic calculations based on gap equations. This is, however, significantly smaller than masses extracted from gauge-invariant vector boson correlation functions. As internal consistency check we also have calculated correlation functions for gauge-invariant operators leading to scalar and vector boson masses. Finite lattice size effects have been systematically analyzed on lattices of size L2 × Lz with L = 4 - 24 and Lz = 16 - 128.

AB - We study gauge boson propagators in the symmetric and symmetry broken phases of the 3D, SU(2) gauge-Higgs model. Correlation functions for the gauge fields are calculated in Landau gauge. They are found to decay exponentially at large distances leading to a non-vanishing mass for the gauge bosons. We find that the W-boson screening mass drops in the symmetry broken phase when approaching the critical temperature. In the symmetric phase the screening mass stays small and is independent of the scalar-gauge coupling (the hopping parameter). Numerical results coincide with corresponding calculations performed for the pure gauge theory. We find mw = 0.35(1)g2T in this phase which is consistent with analytic calculations based on gap equations. This is, however, significantly smaller than masses extracted from gauge-invariant vector boson correlation functions. As internal consistency check we also have calculated correlation functions for gauge-invariant operators leading to scalar and vector boson masses. Finite lattice size effects have been systematically analyzed on lattices of size L2 × Lz with L = 4 - 24 and Lz = 16 - 128.

KW - Critical behaviour

KW - Electroweak phase transition

KW - Lattice simulations

KW - Spontaneous symmetry breaking

KW - SU(2) gauge-Higgs model

KW - Thermal gauge boson masses

UR - http://www.scopus.com/inward/record.url?scp=16144366379&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=16144366379&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(96)00224-6

DO - 10.1016/0550-3213(96)00224-6

M3 - Article

VL - 474

SP - 217

EP - 232

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1

ER -