## Abstract

We study chiral symmetry breaking (_{χ}SB) in SU(2) lattice gauge theory with quarks in the l = 1 2, l = 1, l = 3 2, and l = 2 representations of the color group. We perform Monte Carlo evaluations of 〈ψψ〉 in the quenched approximation and extract the relevant length scales for _{χ}SB. We revise a previous estimate for the ratio between the chiral symmetry restoration temperatures for fundamental and adjoint quarks and obtain T_{l = 1}/T_{l} = 1 2 ∼ 8. Our results for the higher representations, l = 3 2and l = 2, are consistent with Casimir scaling and give C_{2}g_{mom}^{2} ∼ 4. Many aspects of our calculational method are explained in detail. The issues discussed include the relation between _{χ}SB in the quenched approximation and the spectrum of the Dirac operator, the flavor symmetries of euclidean staggered fermions, estimates of finite-size effects and the reliability of m → 0 extrapolations on finite lattices.

Original language | English (US) |
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Pages (from-to) | 326-370 |

Number of pages | 45 |

Journal | Nuclear Physics, Section B |

Volume | 225 |

Issue number | 3 |

DOIs | |

State | Published - Nov 28 1983 |

## ASJC Scopus subject areas

- Nuclear and High Energy Physics